Geometric Translations - ISEE Lower Level Quantitative Reasoning

Card 0 of 20

Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.

2

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, notice that both lines share a starting point at the coordinate point . This can be defined as the central point, and the line was rotated to the left; thus the transformation is a rotation.

3

The transformation can't be a reflection over the y-axis because the orange line didn't flip over the y-axis.

The transformation can't be a translation because the line changes direction, which does not happened when you simply move or slide a line or image.

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Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.

4

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, notice that the black line rotates clockwise, or right around the x-axis; thus the transformation is a rotation.

5

The transformation can't be a reflection over the y-axis because the orange line didn't flip over the y-axis.

The transformation can't be a translation because the line changes direction, which does not happened when you simply move or slide a line or image.

Compare your answer with the correct one above

Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.

6

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, notice that the line made a rotation to the right around the x-axis, and the rotation was ; thus the transformation is a rotation.

7

The transformation can't be a reflection over the y-axis because the orange line didn't flip over the y-axis.

The transformation can't be a translation because the line changes direction, which does not happened when you simply move or slide a line or image.

Compare your answer with the correct one above

Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.

8

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, notice that both lines share a starting point at the coordinate point . This can be defined as the central point, and the line was rotated to the left; thus the transformation is a rotation.

9

The transformation can't be a reflection over the y-axis because the orange line didn't flip over the y-axis.

The transformation can't be a translation because the line changes direction, which does not happened when you simply move or slide a line or image.

Compare your answer with the correct one above

Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided.

10

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would have caused the line to be horizontal, but the line is still vertical. The line was not moved down and to the right, as the translation is described in the answer choice; thus, the correct answer is a reflection over the y-axis.

Compare your answer with the correct one above

Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.

11

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would not have moved the line as far as the orange line was moved. That line would also be slanted at , not straight. The line was not moved to the left, as the translation is described in the answer choice; thus, the correct answer is a reflection over the x-axis.

Compare your answer with the correct one above

Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.

12

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would have caused the line to be vertical, but the line is still horizontal. The line was not moved to the left, as the translation is described in the answer choice; thus, the correct answer is a reflection over the x-axis.

Compare your answer with the correct one above

Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.

13

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would have caused the line to be vertical, but the line is still horizontal. The line was not moved down and to the right, as the translation is described in the answer choice; thus, the correct answer is a reflection over the y-axis.

Compare your answer with the correct one above

Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.

14

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would have caused the line to be vertical, but the line is still horizontal. The line was not reflected over the x-axis because that transformation would have caused the orange line to be in the bottom right quadrant; thus, the correct answer is a translation down and to the left.

Compare your answer with the correct one above

Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.

15

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would have caused the line to be vertical, but the line is still horizontal. The line was not reflected over the x-axis because that transformation would have caused the orange line to be in the bottom right quadrant; thus, the correct answer is a translation up and to the left.

Compare your answer with the correct one above

Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.

16

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would have caused the line to be vertical, but the line is still horizontal. The line was not reflected over the y-axis because that transformation would have caused the orange line to be in the top left quadrant; thus, the correct answer is a translation down and to the right.

Compare your answer with the correct one above

Question

Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.

17

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would have caused the line to be horizontal, but the line is still vertical. The line was not reflected over the y-axis because that transformation would have caused the orange line to be in the top left quadrant; thus, the correct answer is a translation down and to the right.

Compare your answer with the correct one above

Question

Observe the location of the black and orange angles on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black angle has undergone in order to reach the position of the orange angle. Select the answer that provides the correct transformation shown in the provided image.

1

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, notice that the black angle rotates counterclockwise, or left around the y-axis. The vertical, base, line of the angle goes from being vertical to horizontal; thus the transformation is a rotation.

2

The transformation can't be a reflection over the x-axis because the orange angle didn't flip over the x-axis.

The transformation can't be a translation because the angle changes direction, which does not happened when you simply move or slide an angle or image.

Compare your answer with the correct one above

Question

Observe the location of the black and orange angles on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black angle has undergone in order to reach the position of the orange angle. Select the answer that provides the correct transformation shown in the provided image.

3

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, notice that the black angle rotates counterclockwise, or left around the y-axis. The vertical, base, line of the angle goes from being the base, to the top; thus the transformation is a rotation.

4

The transformation can't be a reflection over the x-axis because the orange angle didn't flip over the x-axis.

The transformation can't be a translation because the angle changes direction, which does not happened when you simply move or slide an angle or image.

Compare your answer with the correct one above

Question

Observe the location of the black and orange angles on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black angle has undergone in order to reach the position of the orange angle. Select the answer that provides the correct transformation shown in the provided image.

5

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, notice that the black angle rotates clockwise, or right around the x-axis. The vertical, base, line of the angle goes from being vertical to horizontal; thus the transformation is a rotation.

6

The transformation can't be a reflection over the y-axis because the orange angle didn't flip over the y-axis.

The transformation can't be a translation because the angle changes direction, which does not happened when you simply move or slide an angle or image.

Compare your answer with the correct one above

Question

Observe the location of the black and orange angles on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black angle has undergone in order to reach the position of the orange angle. Select the answer that provides the correct transformation shown in the provided image.

7

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, notice that the black angle rotates clockwise, or right around the x-axis. The vertical, base, line of the angle goes from being the base, to the top; thus the transformation is a rotation.

8

The transformation can't be a reflection over the y-axis because the orange angle didn't flip over the y-axis.

The transformation can't be a translation because the angle changes direction, which does not happened when you simply move or slide an angle or image.

Compare your answer with the correct one above

Question

Observe the location of the black and orange angles on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black angle has undergone in order to reach the position of the orange angle. Select the answer that provides the correct transformation shown in the provided image.

9

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would have caused the vertical, base, line of the angle to go from being horizontal to vertical, but the line is still horizontal. The line was not moved down, as the translation is described in the answer choice, because you can tell the angle has been flipped, the straight, base line of the angle is now the top line of the angle; thus, the correct answer is a reflection over the x-axis.

Compare your answer with the correct one above

Question

Observe the location of the black and orange angles on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black angle has undergone in order to reach the position of the orange angle. Select the answer that provides the correct transformation shown in the provided image.

10

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would have caused the vertical, base, line of the angle to go from being horizontal to vertical, but the line is still horizontal. The line was not moved to the left, as the translation is described in the answer choice, because you can tell the angle has been flipped, the opening of the angle is facing the opposite direction; thus, the correct answer is a reflection over the y-axis.

Compare your answer with the correct one above

Question

Observe the location of the black and orange angles on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black angle has undergone in order to reach the position of the orange angle. Select the answer that provides the correct transformation shown in the provided image.

11

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would have caused the vertical, base, line of the angle to go from being horizontal to vertical, but the line is still horizontal. The line was not reflected over the y-axis because the angle was not flipped and the opening of the angle is not facing the opposite direction; thus, the correct answer is a translation down and at diagonal.

Compare your answer with the correct one above

Question

Observe the location of the black and orange angles on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black angle has undergone in order to reach the position of the orange angle. Select the answer that provides the correct transformation shown in the provided image.

12

Answer

First, let's define the possible transformations.

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the line was not rotated because that rotation would have caused the vertical, base, line of the angle to go from being horizontal to vertical, but the line is still horizontal. The line was not reflected over the y-axis because the angle was not flipped and the opening of the angle is not facing the opposite direction; thus, the correct answer is a translation up and to the left.

Compare your answer with the correct one above

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