How to find length of a line

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SSAT Elementary Level Quantitative › How to find length of a line

Questions 1 - 10
1

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

Explanation

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

2

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

Explanation

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

.

3

A pentagon has ____ sides.

Explanation

A pentagon has five sides.

4

What is a line segment?

A part of a line that connects two points.

A line that has a start point but no end point.

A line that has no start or end points.

A line that is always smaller than 10 centimeters.

A line that is always greater than 10 centimeters.

Explanation

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.

5

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

Explanation

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.

6

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

Explanation

Write the distance formula.

Substitute the points and solve for the distance.

7

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?

perimeter of the yard

area of the yard

volume of the yard

height of the fence

Explanation

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

8

Find the length of the line shown below:

Screen shot 2015 11 04 at 7.48.31 pm

Explanation

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.

9

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

Explanation

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,

10

Which is true about a ray?

A ray is a line with a start point, but no end point.

A ray is always shorter than a line segment.

A ray is always shaped like a circle.

A ray extends indefinitely in both directions.

A ray has three end points.

Explanation

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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