SSAT Elementary Level Math : How to find length of a line

Study concepts, example questions & explanations for SSAT Elementary Level Math

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Example Questions

Example Question #1 : How To Find Length Of A Line

Which is true about a ray?

Possible Answers:

A ray is always shaped like a circle.

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

A ray is always shorter than a line segment. 

A ray extends indefinitely in both directions.

A ray has three end points. 

Correct answer:

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

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. 

Example Question #2 : How To Find Length Of A Line

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?

Possible Answers:

height of the fence

perimeter of the yard

area of the yard

volume of the yard

Correct answer:

perimeter of the yard

Explanation:

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

Example Question #3 : How To Find Length Of A Line

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

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 6\)

\(\displaystyle 24\)

\(\displaystyle 10\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle 6\)

Explanation:

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.

\(\displaystyle 12\div2 = 6\)

Example Question #5813 : Ssat Elementary Level Quantitative (Math)

A line is \(\displaystyle 24\) inches long on a number line, if the starting point is \(\displaystyle 4\), what is the end point on the number line?

Possible Answers:

\(\displaystyle 28\)

\(\displaystyle 16\)

\(\displaystyle 24\)

\(\displaystyle 20\)

Correct answer:

\(\displaystyle 28\)

Explanation:

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

\(\displaystyle 4+24=28\)

Example Question #4 : How To Find Length Of A Line

A pentagon has ____ sides.

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 7\)

\(\displaystyle 6\)

\(\displaystyle 4\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 5\)

Explanation:

A pentagon has five sides. 

Example Question #5815 : Ssat Elementary Level Quantitative (Math)

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

Possible Answers:

\(\displaystyle 48\)

\(\displaystyle 12\)

\(\displaystyle 8\)

\(\displaystyle 16\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 12\)

Explanation:

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:

\(\displaystyle 24 \div 2 = 12\)

Example Question #661 : Geometry

What is a line segment?

 

Possible Answers:

A line that is always greater than 10 centimeters.

A part of a line that connects two points.

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

A line that is always smaller than 10 centimeters.

A line that has no start or end points.

Correct answer:

A part of a line that connects two points.

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

Example Question #5 : How To Find Length Of A Line

Which statement is true regarding line segments?

Possible Answers:

A line segment is a "piece" of a line and has two endpoints.

A line segment extends in both directions without endpoints. 

A line segment is curved.

A line segment has one endpoint, but continues indefinitely in one direction.

A line segment has three endpoints.

Correct answer:

A line segment is a "piece" of a line and has two endpoints.

Explanation:

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

Example Question #662 : Plane Geometry

A line is connected from \(\displaystyle (1,3)\) to \(\displaystyle (5,9)\).  What is the length of the line?

Possible Answers:

\(\displaystyle \sqrt{13}\)

\(\displaystyle \frac{13}{3}\)

\(\displaystyle 2\sqrt{13}\)

\(\displaystyle \frac{3}{2}\)

\(\displaystyle \frac{\sqrt{13}}{2}\)

Correct answer:

\(\displaystyle 2\sqrt{13}\)

Explanation:

Write the distance formula.

\(\displaystyle D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

Substitute the points and solve for the distance.

\(\displaystyle D=\sqrt{(9-3)^2+(5-1)^2}=\sqrt{6^2+4^2} = \sqrt{36+16} = \sqrt{52}\)

\(\displaystyle D= \sqrt{4}\times \sqrt{13}\)

\(\displaystyle D=2\sqrt{13}\)

Example Question #6 : How To Find Length Of A Line

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

 

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 10\)

\(\displaystyle 7\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 8\)

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,

\(\displaystyle distance=9-1=8\)

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