Review Chapter 3
Name:__________________________________
Determine the values of x and y in problems 1-4 given that the lines are parallel.
1)
2)
3)
4)
(10x)°
(17x – 22)°
(15x – 4)°
y°
(12y – 2x)°
5) Given the diagram below, what information is needed to prove that the lines are parallel?
6) From question 5, identify at least one pair of each type of angle pair.
Corresponding: ________
Alternate Interior:________
Same-side Interior: ________
Same-side Exterior: ________
Alternate Exterior: ________
7) Determine the slope between the two points.
a) (4, 5) and (-2, 9)
b) (p, -3) and (r, 6)
c) (9, 3) and (-5, 3)
8) The slope of a line passing through H(2, 5) is 2/3. Which ordered pair represents a point on this line?
A. (7, 5)
B. (5, 3)
C. (-1, 7)
D. (-1, 3)
Find a parallel and perpendicular equation for each given line. Graph the original line on the graph to the right.
9) -3x – 5y = 15
10) 4x + 2y = -8
Parallel eq._______________
Perp. eq. _______________
Parallel eq._______________
Perp. eq. _______________
11) 2x – 8y = 16
12) -10x + 2y = -18
Parallel eq._______________
Perp. eq. _______________
Parallel eq._______________
Perp. eq. _______________
13) Are the lines y = 2x – 15 and -6x – 2y = 24 parallel, perpendicular, or neither?
Graph for 9 and 10
Graph for 11 and 12
14) Given the line shown graphed to the right, determine the equation of the line, the equation for a parallel line, and
the equation for a perpendicular line.
Original line: ___________________
Parallel line: ___________________
Perpendicular line: ______________________
15) Determine the equation of the perpendicular biscetor for the line segment with endpoints R(-5, -1) and T(1, -3).
a) Determine the midpoint of line segment RT.
b) Determine the slope of RT.
c) Determine the slope of a line that is perpendicular to RT.
R
T
d) Graph the perpendicular bisector and write its equation in
slope-intercept form (y=mx+b).
16) Determine the equation of the perpendicular biscetor for the line segment with endpoints C(-1, -4) and D(5, 2).
a) Determine the midpoint of line segment CD.
b) Determine the slope of CD.
D
c) Determine the slope of a line that is perpendicular to CD.
d) Graph the perpendicular bisector and write its equation in
slope-intercept form (y=mx+b).
C