Download Geometry Name Chapter 4A Review A Period ______ 1. Given: X

Geometry
Chapter 4A Review
1.
Name _____________________________
Period _______
A
̅̅̅̅ ≅ 𝐵𝐶
̅̅̅̅
Given: 𝐴𝐵
a. Solve for x.
b. Is the triangle equilateral?
4
B
X-2
C
X-5
2.
A triangle has measures of 60˚, 60˚, and 60˚. Choose the term that describes the triangle.
a) scalene
b) obtuse
c) right
d) acute
3.
A triangle has measures of 90˚, 47˚, and 43˚. Choose the term that describes the triangle.
a) scalene
b) obtuse
c) right
d) acute
4-8. Find the value of the variable(s).
4.
5.
x
y
46˚
52
x
112˚
7. In the diagram,  B   E and  C   F.
6.
x˚
32˚
8.
y
116˚
9.
x
50
Find the value of x and then use it to find the measures of all three angles of the triangle.
(3x + 50)˚
5x
(x - 5)˚
10.
Classify each triangle as equilateral, isosceles, or scalene.
L
3
5
M
5
N
4
A
X
5
Y
9
9
Z
5
C
B
12
11.
Given:  XYW   ABC. Complete the statements.
Sketch the triangle and label all the information you will use.
a. AB  __ _____
b.  XYW  ______
12.
Draw  LMN   XYZ, label the following information.
LM = 27 feet, m  M = 39˚, and m  Z = 34˚. Which of the following is FALSE?
a.
b.
c.
d.
13.
X L
YX = LM
m  L = 107˚
ZX = 27 feet
A) How many obtuse angles can an isosceles triangle have?
B) How many obtuse angles can an equilateral triangle have?
14.
Find  A,  B, and  C.
45˚
C
A
15.
28˚
B
20˚
The two triangles are congruent. Find the missing side lengths and angle measures.
a.
__________
b.
____ ____
c.
__________
d.
__________
e.
____ ____
f.
____ ____
c
90
b
20ft
a
25 ft
15 ft
f
d
43˚
e
16. Find x and the measure of the interior angles (round to the nearest tenth.)
Then classify the triangle by its angles.
X = _________________
m  A = _________________
m  B = __________________
m  C = __________________
17. Find the measure of the exterior angle.
X = ___________________
Measure of exterior angle = ________