Directed Line Segment

Given the following two parallel lines cut by a transversal.

Which pair of angles represent alternate exterior angles? #1

Two lines are cut by a transversal. Which angle pairs must be congruent for the lines to be parallel? Select all that apply. #3

Find the measure of angle 1. #4

WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X? #6

Line l and m are cut by transversal n. Which statement proves that line l is parallel to line m? #15

Which could be used to prove the lines are parallel? #17

Which could be used to prove the lines are parallel? #20

What is the reason these two lines are parallel or not parallel? #21

What is the shortest distance between a point and a line? #25

Find the distance from point P to $$\overline{AB}$$  . #26

Determine which lines, if any, must be parallel.

#29

Theorem 3-10: Perpendicular Transversal Theorem

In a plane, if a line is perpendicular to one of two parallel lines, then it is also _____ to the other. #37

Andrea constructs perpendicular lines (as shown at right). What basic construction is used to construct perpendicular lines? #35

y = 3/2x + 2

y = 2/3x + 6

These lines are...#41

Which of the following lines goes through the point (0, 4) and is PARALLEL to y = 5x - 3? #44

HINT: PLUG (0,4) AND THE PARALLEL SLOPE INTO y=mx+b. SOLVE FOR b AND REWRITE THE EQUATION IN y=mx+b.

Determine the ratio of the directed line segment AB when partitioned by point P. #46

Given the points, A(-2 4) and B(7, -2), find the coordinates of the point P on directed line segment AB in the ratio 1:2. #47

The coordinates for point P are:

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym  $$\frac{2}{3}$$   the distance from Ping's home to Ari's home.

Where is the gym? #50