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SSAT Elementary Level Math : Plane Geometry

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

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All SSAT Elementary Level Math Resources

12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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.

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Example Question #661 : Plane Geometry

Which statement is true regarding line segments?

Possible Answers:

A line segment is curved.

A line segment extends in both directions without endpoints.

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

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.

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Example Question #5 : Lines

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

Possible Answers:

$\frac{13}{3}$ $\displaystyle \frac{13}{3}$

$\sqrt{13}$ $\displaystyle \sqrt{13}$

$\frac{3}{2}$ $\displaystyle \frac{3}{2}$

$2\sqrt{13}$ $\displaystyle 2\sqrt{13}$

$\frac{\sqrt{13}}{2}$ $\displaystyle \frac{\sqrt{13}}{2}$

Correct answer:

$2\sqrt{13}$ $\displaystyle 2\sqrt{13}$

Explanation:

Write the distance formula.

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

Substitute the points and solve for the distance.

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

$D= \sqrt{4}\times \sqrt{13}$ $\displaystyle D= \sqrt{4}\times \sqrt{13}$

$D=2\sqrt{13}$ $\displaystyle D=2\sqrt{13}$

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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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Example Question #662 : Plane Geometry

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

Possible Answers:

$\sqrt{61}$ $\displaystyle \sqrt{61}$

$\sqrt{185}$ $\displaystyle \sqrt{185}$

DNE $\displaystyle DNE$

$\displaystyle 3$

Correct answer:

$\sqrt{61}$ $\displaystyle \sqrt{61}$

Explanation:

To solve, simply use the distance formula. Thus,

$\\d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\d=\sqrt{(7-1)^2+(8-3)^2} \\d=\sqrt{6^2+5^2} \\d=\sqrt{36+25} \\d=\sqrt{61}}}$ $\displaystyle \\d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\d=\sqrt{(7-1)^2+(8-3)^2} \\d=\sqrt{6^2+5^2} \\d=\sqrt{36+25} \\d=\sqrt{61}}}$

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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Example Question #5822 : Ssat Elementary Level Quantitative (Math)

On a line segment, there are two points. One is at $\displaystyle -3$ and the other is at $\displaystyle 6$. What is the distance of the line segment?

Possible Answers:

$\displaystyle 9$

$\displaystyle 6$

$\displaystyle 3$

$\displaystyle 18$

$\displaystyle 0$

Correct answer:

$\displaystyle 9$

Explanation:

When dealing with a number line, the distance of a point is measured in its distance from $\displaystyle 0$.

$\displaystyle -3$ is a total of $\displaystyle 3$ points away from $\displaystyle 0$.

$\displaystyle 6$ is more straight forward and is just $\displaystyle 6$ points away.

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

(3+6=9) $\displaystyle (3+6=9)$.

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Example Question #11 : Lines

Find the length of the line shown below:

Screen shot 2015 11 04 at 7.48.31 pm

Possible Answers:

$\displaystyle 4$

$\displaystyle 21$

$\displaystyle 25$

$\displaystyle 17$

$\displaystyle 24$

Correct answer:

$\displaystyle 17$

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.

21-4=17 $\displaystyle 21-4=17$,

therefore the length of the line is $\displaystyle 17$ units.

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Example Question #1 : Lines

Number_line_midpoint

$\displaystyle x$ is the midpoint of the number line that extends from $\displaystyle -3$ to $\displaystyle 7$. What is the value of $\displaystyle x$?

Possible Answers:

$\displaystyle 2$

$\displaystyle 4$

$\displaystyle 5$

$\displaystyle 0$

$\displaystyle 1$

Correct answer:

$\displaystyle 2$

Explanation:

Find the average of the two endpoints to find their midpoint. To find the average of two numbers, add them together and divide by two.

$\frac{-3 + 7}{2} = \frac{4}{2} = 2$ $\displaystyle \frac{-3 + 7}{2} = \frac{4}{2} = 2$

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Example Question #662 : Geometry

How many lines of symmetry does a square have?

Possible Answers:

$\displaystyle 8$

$\displaystyle 1$

$\displaystyle 0$

$\displaystyle 4$

$\displaystyle 2$

Correct answer:

$\displaystyle 4$

Explanation:

A line of symmetry is the imaginary line that you draw through a shape so that you can fold the image over the line and have both halves match exactly. Any regular shape has as many lines of symmetry as it does sides. Since a square has four sides, the correct answer is 4!

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Example Question #663 : Geometry

How many lines of symmetry does an octagon have?

Possible Answers:

$\displaystyle 8$

$\displaystyle 1$

$\displaystyle 0$

$\displaystyle 2$

$\displaystyle 4$

Correct answer:

$\displaystyle 8$

Explanation:

A line of symmetry divides a shape into two equal and identical halves. Any regular shape has as many lines of symmetry as it does sides. Since octagons have eight sides, the correct answer is 8.

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SSAT Elementary Level Math : Plane Geometry

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

All SSAT Elementary Level Math Resources

Example Questions

Example Question #7 : How To Find Length Of A Line

Example Question #661 : Plane Geometry

Example Question #5 : Lines

Example Question #662 : Geometry

Example Question #662 : Plane Geometry

Example Question #5822 : Ssat Elementary Level Quantitative (Math)

Example Question #11 : Lines

Example Question #1 : Lines

Example Question #662 : Geometry

Example Question #663 : Geometry

All SSAT Elementary Level Math Resources

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