DSQ: Calculating whether lines are perpendicular

Practice Questions

GMAT Quantitative Reasoning › DSQ: Calculating whether lines are perpendicular

Questions

10

1

Consider the lines of the equations

and

Are these two lines parallel, perpendicular, or neither?

Statement 1: $\frac{A}{B} < 0$

Statement 2:

2

Transversal

Refer to the above figure.

True or false: $m \perp t$

Statement 1: $m \angle 2 = 89^{\circ }$

Statement 2: $\angle 3 \cong \angle 6$

3

You are given two lines. Are they perpendicular?

Statement 1: The product of their slopes is 1.

Statement 2: The sum of their slopes is $\frac{5}{2}$ .

4

Are linear equations and perpendicular?

I) pass through the points and .

II) passes through the point and has a -intercept of .

5

Untitled Statement 1:

Refer to the above figure. Are the lines perpendicular?

Statement 1:

Statement 2:

6

Are Line 1 and Line 2 on the coordinate plane perpendicular?

Statement 1: Line 1 is the line of the equation .

Statement 2: Line 2 has no -intercept.

7

Untitled

Refer to the above figure. True or false: $m \perp n$

Statement 1: $\triangle AXB$ is equilateral.

Statement 2: Line bisects $\angle AXB$ .

8

Untitled

Refer to the above figure. True or false: $m \perp n$

Statement 1: $\bigtriangleup XAY \cong \bigtriangleup XBY$

Statement 2: Line bisects $\angle AXB$ .

9

The equations of two lines are:

Are these lines perpendicular?

Statement 1:

Statement 2:

10

Data Sufficiency Question

Is Line A perpendicular to the following line?

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

Statement 1: The slope of Line A is 3.

Statement 2: Line A passes through the point (2,3).

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