Download 4.1,4.2,4.6 Review - Stevenson High School

Geometry
Name
4.1, 4.2, 4.6 Quiz Review
Date
Hour
***Reminder there will be Chapter 1 review material on this quiz, too!***
I can classify triangles based on sides and angles. #1-5
I can apply the Triangle Sum Theorem to solve problems. #4-7
I can apply the Exterior Angle Theorem to solve problems. #8-9
I can identify corresponding angles and sides of two triangles. #18-20
I can write a congruence statement for two congruent figures. #18-20
I can apply the concepts of congruence to solve problems. #21-22
I can apply properties of isosceles and equilateral triangles to solve problems. #10-17
Classify each of the following triangles as specific as possible with side and angle types.
1.
2.
45°
3.
32°
60°
70°
45°
60°
The variable expressions represent the angle measures of a triangle. Find the measure of each
angle. Then classify the triangle by its angles.
4. mA  6 x  11
mB  3x  2
mC  5x  1
x= _____________
m<A = _________
5. mA  3x  17
mB  x  40
mC  2 x  5
x= _____________
m<A = _________
m<B = _________
m<B = _________
m<C = _________
m<C = _________
Classification: __________
Classification: __________
Find the missing angle measures.
6.
7.
80
100
z
x
55
y
60
Write an equation and solve for x. Then find the measure of the exterior angle.
8.
9.
58
(7x – 1)
(10x+30)
2x
(103–x)
(6x–7)
x = __________
x = __________
Measure of ext.  = ________
Measure of ext.  = ________
Solve for x or y in each of the following.
10.
11.
12.
13.
96
3x°
2x + 10
14.
15.
16.
(6x)
(2x)°
17.
3x + 5
10x°
20
Complete the congruence statement for the given triangles.
18.
F
D
W
19.
20.
A
S
C
B
E
Given ∆MJU  ∆KQX, list all of the
corresponding sides and angles
that are congruent.
V
U
T
∆ CAB  ∆__________
∆ UTS  ∆__________
21. Given ∆BIG  ∆CAT. Tick mark the diagrams and find the requested measures and lengths.
A
x = __________
47 4x °
y = __________
I
5y–3
68° G
T
80°
GB = __________
22
B
C
m I= __________
22. Given ∆PQR  ∆LMN. Tick mark the diagrams and find the requested measures and lengths.
x = __________
M
Q
3y+5
17
P
62°
(5x + 2)°
29°
14
R
N
y = __________
L
m  LMN = _____
NL = _________