Download I can identify parallel and perpendicular lines based on their slopes

Geometry
Name ___________________________
Unit 3 Review: Parallel and Perpendicular Lines Hour __________ Date ____________
1. The points R(2, 3), S(–3, 2), T(-8, 3), L(2, 8) form a quadrilateral with sides RS, ST, TL and LR.
Determine which lines are parallel, perpendicular or neither. Show your reasoning.
2. Name a point for D such that CD is perpendicular to AB. Show your reasoning.
I can write the equation of a perpendicular line of a line through a given point
Questions 3-5 use the diagram to the right. Assume these points are A(2, 3) and C(6, 11)
3. Find the equation of AB.
4. Find the perpendicular bisector of BC.
5. Find the equation of the line that is parallel to AB, but passes through point C.
6. Write an equation of a line passes through point (2, -1) and is parallel to the line y  8( x  2)  7 .
7. Write the equation of a line that passes through point (2, -1) and is perpendicular to the line y = 8(x -2) +7
8. Find the equation for the perpendicular bisector of the segment JK shown on the graph below.
9. If x = y, determine which lines, if any, are parallel and justify your answer.
a)
b)
10. In the diagram below, lines m and n are parallel. For each angle pair, identify the name for the angle
pair and what you conclude about their relationship. Enter the letter of the correct choice in each box of
the table.
Identify each pair of angles as
A. alternate interior angles
B. alternate exterior angles
C. consecutive interior angles
D. corresponding angles
E. vertical angles
F. linear pair
Based on the given
information (m // n) , what is
the relationship of each pair
of angles.
G. congruent.
H. complementary
I. supplementary
J. cannot be determined
a.  1 and  9
b.  6 and  4
c.  4 and 5
d.  10 and  11
e.  12 and  11
f.  15 and  10
11. Draw the line that will show the shortest distance between the point and the line. Find the distance
between the point (6, 5) and the line y = 2x + 3.
12. Find the missing angles.
a = __________ b = __________ c = ___________ d = ___________ e = ___________ f = _________
g = __________ h = __________ i = ___________ j = ____________ k = ___________ l = _________
m = __________ n = __________ p = __________ r = ____________ s = ___________ t = _________
13. Find the value of x and y.
x = __________, y = __________