Unit 3 test: Parallel and Perpendicular Lines

What kind of angle pair are $\angle 2$ and $\angle 7$?

Given $m \parallel n$ and $m\angle 7 = 57^\circ$, find $m\angle 4$, in degrees.

Given $m \parallel n$, $m\angle 1 = (9x + 4)^\circ$ and $m\angle 5 = (7x + 30)^\circ$. Find $m\angle 1$, in degrees.

Given $m \parallel n$, $m\angle 4 = (3x + 1)^\circ$ and $m\angle 6 = (x + 7)^\circ$. Find $m\angle 6$, in degrees.

If $\angle 3 \cong \angle 6$, which reason justifies the conclusion $m \parallel n$?

Suppose $m\angle 2 = (2x + 6)^\circ$ and $m\angle 8 = (4x - 6)^\circ$. What value of $x$ makes $m \parallel n$?

Suppose $m\angle 4 = 121^\circ$ and $m\angle 5 = 119^\circ$. What can you conclude?

Lines $a$, $b$, $c$ and $d$ lie in one plane, with $a \perp b$, $b \perp c$ and $c \parallel d$. Which statement must be true?

What is the slope of a line perpendicular to $5x + 2y = 4$?

Line $f$ passes through $(-3, 2)$ and $(1, -4)$. Line $g$ passes through $(0, 1)$ and $(6, 5)$. Classify the lines.

The line through $(2, k)$ and $(5, 7)$ is parallel to $y = \dfrac{4}{3}x - 1$. Find $k$.

Write an equation of the line through $(-4, 1)$ that is parallel to $y = -2x + 3$. (You can type the whole equation or just the right side of $y = \ldots$.)

Write an equation of the line through $(6, -2)$ that is perpendicular to $3x + 4y = 12$.

Write an equation of the perpendicular bisector of the segment with endpoints $(-3, 5)$ and $(5, 1)$.

Find the distance from the point $(10, 0)$ to the line $y = 3x$. Give an exact answer or round to the nearest hundredth.