SSAT Elementary Level Math : Lines

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 a line with a start point, but no end point. 

A ray has three end points. 

A ray extends indefinitely in both directions.

A ray is always shorter than a line segment. 

A ray is always shaped like a circle.

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

volume of the yard

perimeter of the yard

area 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 #1 : 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 6

\displaystyle 8

\displaystyle 24

\displaystyle 3

\displaystyle 10

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 #2 : How To Find Length Of A Line

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 20

\displaystyle 24

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 6

\displaystyle 5

\displaystyle 8

\displaystyle 7

\displaystyle 4

Correct answer:

\displaystyle 5

Explanation:

A pentagon has five sides. 

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

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 16

\displaystyle 12

\displaystyle 8

\displaystyle 48

\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 #7 : How To Find Length Of A Line

What is a line segment?

 

Possible Answers:

A line that is always greater than 10 centimeters.

A line that has no start or end points.

A part of a line that connects two points.

A line that is always smaller than 10 centimeters.

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

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 #661 : Geometry

Which statement is true regarding line segments?

Possible Answers:

A line segment extends in both directions without endpoints. 

A line segment has three endpoints.

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

A line segment is curved.

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

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 #5 : Lines

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

Possible Answers:

\displaystyle \frac{13}{3}

\displaystyle \sqrt{13}

\displaystyle \frac{3}{2}

\displaystyle 2\sqrt{13}

\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 #662 : Geometry

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 8

\displaystyle 7

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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