Download 1. Factor 12x 2 – 5x – 3 2. Factor and solve 10x + 39x + 14=0 3. The

Geometry Honors
Chapter 2 Study guide
1. Factor 12x2 – 5x – 3
Name:
2. Factor and solve 10x2 + 39x + 14=0
3. The ratio of the complement of an angle to its supplement is 2 to 7. Find the measure of two thirds of
the angle.
4. The sum of an angle and two-thirds of the supplement is 40 degrees greater than the complement. Find
the measure of the supplement.
5. The supplement of the complement exceeds the sum of the angle and the complement by 10 degrees.
Find the supplement of the complement.

6. Given m 1  15x2

m 3   2x  8
Find:
m 1
1
2
3
4
Use the following diagram to answer questions 7 and 8.
1 is comp. 2
m1=(6 x  7 y  16)
7. Given:
1 2
m2  (5x  12 y  17)
3
m3  (10 y  2 x  100)
4
m4  (5x  2 y  133)
Find: m1

8. Do not use the givens from problem 7! Is 3  4 if m3  10 x2

and m4   25x  15 ?
D
9.
Given: Diagram as shown
DV  DI and EV  LI
a. By the _____________________ property, _______  _______.
2x + 7
5x - 2
E
L
b. Solve for x, y, and DV.
3x - 1
V
I
T
10. Given: TYE  MIA
YE bisects TYL
IM bisects WIA
W
E
Y
Why is TYL WIA?
I
A
L
L
M
Given: LCK  MCD
Why is LCM KCD?
M
K
D
C
11. Given:
LCK  MCD
mLCD  68
L
M
K
mLCM  2x  y 
mMCK   x  y 
D
mKCD  5y  4 
Find:
mMCK (exact answer)
C
12-15 True or False
12
If two complementary angles are congruent, then each is a right angle. __________
13.
If m Q = 100 degrees, then Q has no complement. ____________
14.
It is possible for two lines to intersect in such a way that three of the angles formed have
measures of 20, 70, and 20. _____________
15.
If two angles are complementary, they are both acute angles. _____________
16
If the measure of an angle is 90 – x, what is the measure of its complement?
17.
If the measure of an angle is x, what is the measure of the supplement of the complement?
18.
Find the difference between the measures of the supplement and the complement of an angle.
A good sheet to review! Section 2.5 & 2.6 Warm Up and Cool Down!!