How to find length of a line - SSAT Elementary Level Quantitative (Math)

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Question

Which statement is true regarding line segments?

Answer

A line segment is a piece of a line connected by two endpoints.

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Question

Which is true about a ray?

Answer

A ray always has one start point, and then continues indefinitely in the opposite direction. Line segments are different because they have a defined start and end point.

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Question

Alex needs to buy a fence for her yard. She doesn't know how much she needs to surround the entire yard. What does she need to calculate to figure this out?

Answer

Perimeter is the distance around a shape. She needs to know the perimeter of her yard to determine how much fence to buy.

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Question

A pentagon has ____ sides.

Answer

A pentagon has five sides.

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Question

What is a line segment?

Answer

A line segment is a part of a line that connects two points. It is different than a line and a ray because it has a defined start and end point.

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Question

A line is inches long on a number line, if the starting point is , what is the end point on the number line?

Answer

You must add the start point to the length of the line to find the end point of the line.

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Question

Line AC is 12 inches long. If Point B is located in the center of Line AC, how many inches long is Line BC?

Answer

Since Point B is located in the middle of Line AC, it will break Line AC into two equal line segments - Line AB and Line BC. We should divide the original length of Line AC by 2 because we are breaking the original line in half.

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Question

Line AC is 24 inches long. If Point B is the midpoint of Line AC, how many inches long is Line BC?

Answer

Point B is the midpoint that breaks Line AC into two line segments of equal length. Therefore, to find the length of Line BC, divide the length of Line AC by 2:

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Question

A line is connected from to . What is the length of the line?

Answer

Write the distance formula.

Substitute the points and solve for the distance.

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Question

Find the length of a line which starts at the point (1,7) and goes till (9,7).

Answer

To solve, simply realize the distance between these points will just be the difference of their x values since their y values stay the same.

These points are on a horizontal line.

Thus,

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Question

On a line segment, there are two points. One is at and the other is at . What is the distance of the line segment?

Answer

When dealing with a number line, the distance of a point is measured in its distance from .

is a total of points away from .

is more straight forward and is just points away.

To get the total distance you just add the two distances together

.

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Question

Find the length of a line connecting the points (1,3) and (7,8).

Answer

To solve, simply use the distance formula. Thus,

It is important to remember that with the distance formula, you must keep the order of x2-x1 and y2-y1 consistent. It doesn't matter which point you choose to be 2 and which one you choose to be 1, but once you do, you must keep it in that order for both instances.

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Question

Find the length of the line shown below:

Screen shot 2015 11 04 at 7.48.31 pm

Answer

In order to find the length of the line, you have to find the difference between the points.

The first point is 4, and the second point is 21.

,

therefore the length of the line is units.

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