Similarity Transformations Given Two Figures: CCSS.Math.Content.HSG-SRT.A.2 - Common Core: High School - Geometry

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Question

Which of the other triangles is similar to ?

Plot1

Answer

The correct image is as follows.

Plot1.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Looking at the original picture,

Plot1

the two known angles can be added together. Recall all interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

Question

Which of the other triangles is similar to ?

Plot2

Answer

First perform some simple math to figure out what the missing angle is in the original picture.

Plot2

First add the two known angles together and recall that the interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

Plot2.1

This is the correct answer because it has similar angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

Question

Which of the other triangles is similar to ?

Plot3

Answer

First perform some simple math to figure out what the missing angle is in the original picture.

Plot3

First add the two known angles together and recall that the interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

Plot3.1

This is the correct answer because it has similar angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

Question

Which of the other triangles is similar to ?

Plot4

Answer

Plot4.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

First add the two known angles together and then recall that all interior angles of a triangle must have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

Question

Which of the other triangles is similar to ?

Plot5

Answer

Plot5.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Add the two known angles together and then recall that all interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

Question

Which of the other triangles is similar to ?

Plot6

Answer

Plot6.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

First, add the two known angles together and recall that the interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

Question

Which of the other triangles is similar to?

Plot7

Answer

Plot7.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles together and recalling that all interior angles of a triangle have a sum of 180 results in the following.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

Question

Which of the other triangles is similar to ?

Plot8

Answer

Plot8.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two known angles and recalling that all interior angles have a sum of 180 degrees.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

Question

Which of the other triangles is similar to ?

Plot9

Answer

Plot9.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles and recalling that all interior angles of a triangle have a sum of 180 degrees, the following equation is constructed.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

Question

Which of the other triangles is similar to ?

Plot10

Answer

Plot10.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles and recalling that all interior angles of a triangle have a sum of 180 degrees, the following equation is constructed.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

Question

Which of the other triangles is similar to ?

Plot11

Answer

Plot11.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles and recalling that all interior angles of a triangle have a sum of 180 degrees, the following equation is constructed.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

Question

Which of the other triangles is similar to ?

Plot12

Answer

Plot12.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles and recalling that all interior angles of a triangle have a sum of 180 degrees, the following equation is constructed.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Compare your answer with the correct one above

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