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SSAT Upper Level Math : Geometry

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

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #6 : How To Find Out If Lines Are Parallel

Which of the following lines is parallel to the line given by the equation y=-3x+10 ?

Possible Answers:

y=-3x-1

$y=\frac{1}{3}x-1$

$y=-\frac{1}{3}x-1$

y=3x-1

Correct answer:

y=-3x-1

Explanation:

These two lines must share the same slope of to be parallel. You can identify the slope of a line in y=mx+b form easily, as the slope is the value of . The only answer choice that has a slope of is y=-3x-1 , so it is the correct answer.

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Example Question #41 : Coordinate Plane

Which of the following lines is parallel to:

4y-12x=2

Possible Answers:

$y=\frac{1}{3}x+2$

$x-\frac{1}{3}y=7$

x-3y=9

x+4y=10

Correct answer:

$x-\frac{1}{3}y=7$

Explanation:

First write the equation in slope intercept form. Add 12x to both sides to get 4y = 12x + 2 . Now divide both sides by to get y = 3x + 0.5 . The slope of this line is , so any line that also has a slope of would be parallel to it. The correct answer is $x - \frac{1}{3}y = 7$ .

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Example Question #42 : Coordinate Plane

Which pair of linear equations represent parallel lines?

Possible Answers:

$y=x+2$

$y=-x+2$

$y=2x-4$

$y=2x+5$

$y=x-5$

$y=3x+5$

$y=-x+4$

$y=x+6$

$y=2x+4$

$y=x+4$

Correct answer:

$y=2x-4$

$y=2x+5$

Explanation:

Parallel lines will always have equal slopes. The slope can be found quickly by observing the equation in slope-intercept form and seeing which number falls in the " $m$ " spot in the linear equation $(y=mx+b)$ ,

We are looking for an answer choice in which both equations have the same $m$ value. Both lines in the correct answer have a slope of 2, therefore they are parallel.

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Example Question #21 : Lines

Which of the following equations represents a line that is parallel to the line represented by the equation 10x-4y=26 ?

Possible Answers:

$y=-\frac{2}{5}x+3$

$y=\frac{5}{2}x+1$

$y=-\frac{5}{2}x+1$

$y=\frac{2}{5}x+2$

y=5x-1

Correct answer:

$y=\frac{5}{2}x+1$

Explanation:

Lines are parallel when their slopes are the same.

First, we need to place the given equation in the slope-intercept form.

-4y=-10+26

$y=\frac{10}{4}x-\frac{26}{4}$

$y=\frac{5}{2}x-\frac{13}{2}$

Because the given line has the slope of $\frac{5}{2}$ , the line parallel to it must also have the same slope.

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Example Question #8 : How To Find Out If Lines Are Parallel

Which of the following lines is parallel with the line $y=-\frac{1}{5}x+1$ ?

Possible Answers:

y=-5x-1

$y=-\frac{1}{5}x+9$

$y=\frac{1}{5}x-2$

y=5x

Correct answer:

$y=-\frac{1}{5}x+9$

Explanation:

Parallel lines have the same slope. The slope of a line in slope-intercept form (y=mx+b) is the value of . So, the slope of the line $y=-\frac{1}{5}x+1$ is $-\frac{1}{5}$ . That means that for the two lines to be parallel, the slope of the second line must also be $-\frac{1}{5}$ .

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Example Question #193 : Geometry

Which of the following lines is parallel to the line y=-2x+12 ?

Possible Answers:

$y=-\frac{1}{2}x+19$

y=-2x-1

$y=\frac{1}{2}x-2$

y=2x+10

Correct answer:

y=-2x-1

Explanation:

Parallel lines have the same slope. The slope of a line in slope-intercept form (y=mx+b) is the value of . So, the slope of the line y=-2x+12 is . That means that for the two lines to be parallel, the slope of the second line must also be .

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Example Question #194 : Geometry

Which of the following lines is parallel with the line with equation y=-x+2 ?

Possible Answers:

y=x-1

y=x-12

y=-x-12

y=x+2

Correct answer:

y=-x-12

Explanation:

Parallel lines have the same slope. The slope of a line in slope-intercept form (y=mx+b) is the value of . So, the slope of the line y=-x+2 is . That means that for the two lines to be parallel, the slope of the second line must also be .

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Example Question #195 : Geometry

Which of the following lines is parallel to the line y=-3x+1 ?

Possible Answers:

$y=-\frac{1}{3}x-2$

y=3x-2

$y=\frac{1}{3}x-2$

y=-3x+12

Correct answer:

y=-3x+12

Explanation:

Parallel lines have the same slope. The slope of a line in slope-intercept form (y=mx+b) is the value of . So, the slope of the line y=-3x+1 is . That means that for the two lines to be parallel, the slope of the second line must also be .

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Example Question #196 : Geometry

Which of the following lines is parallel to the line with the equation $y=\frac{1}{4}x+3$ ?

Possible Answers:

$y=\frac{1}{4}x-2$

$y=-\frac{1}{4}x-2$

y=-4x-2

y=4x+3

Correct answer:

$y=\frac{1}{4}x-2$

Explanation:

Parallel lines have the same slope. The slope of a line in slope-intercept form (y=mx+b) is the value of . So, the slope of the line $y=\frac{1}{4}x+3$ is $\frac{1}{4}$ . That means that for the two lines to be parallel, the slope of the second line must also be $\frac{1}{4}$ .

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Example Question #197 : Geometry

Which of the following equations is parallel to the line with the equation y=9x-2?

Possible Answers:

$y=\frac{1}{9}x-2$

$y=-\frac{1}{9}x-2$

y=-9x+2

y=9x+2

Correct answer:

y=9x+2

Explanation:

Parallel lines have the same slope. The slope of a line in slope-intercept form (y=mx+b) is the value of . So, the slope of the line y=9x-2? is . That means that for the two lines to be parallel, the slope of the second line must also be .

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SSAT Upper Level Math : Geometry

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #6 : How To Find Out If Lines Are Parallel

Example Question #41 : Coordinate Plane

Example Question #42 : Coordinate Plane

Example Question #21 : Lines

Example Question #8 : How To Find Out If Lines Are Parallel

Example Question #193 : Geometry

Example Question #194 : Geometry

Example Question #195 : Geometry

Example Question #196 : Geometry

Example Question #197 : Geometry

All SSAT Upper Level Math Resources

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