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Geometry
Ch 4 In-Class Review
Name
Period
Tell whether each statement is true or false. If the statement is false, correct the statement.
1. An equilateral triangle is always equiangular.
2. An obtuse triangle has 3 obtuse angles.
3. The angles of a right triangle are complementary.
4. Each angle of an equilateral triangle measures 60º.
5. CPCTC stands for Congruent Parts of Corresponding Triangles are Congruent.
6.
Given ΔSKI  ΔMTN, name the corresponding parts.
S
Find the lettered angles.
7.
8.
MN 
I
For each problem below, determine which 2 triangles could be proven congruent and then
state the method which could be used to prove them congruent. If no triangles can be
proven congruent, write CANNOT BE DETERMINED on the blanks below.
J
9.
U
10.
11.
D
C
I
J
N
U
L
Y
E
ΔJUL 
ΔENU 
Y
R
ΔDRY 
Find the value of x. Show work.
12.
100º
(6x + 4)º
140°
12.
13.
86º
xº
13.
14.
47º
54º
56º
xº
14.
E
15.
Find m  A and m  ABC
D
B
mA =
A
16.
C
m  ABC =
Find x and BC. (Try to find a way to write an equation to solve for x)
B
8x - 3
BC =
5x + 9
A
17.
x=
D
C
Complete this proof.
Given:
Show:
A is the midpoint of ES
R
E
E  S
A
ΔBEA ≅ ΔRSA
S
B
A is the midpoint of 𝐸𝑆
∠𝐸 ≅ ∠𝑆
𝛥𝐵𝐸𝐴 ≅ 𝛥𝑅𝑆𝐴
18.
B
Complete this proof.
A
Given: AC ||BD
A  D
Show: AB  DC
D
C
AIA Theorem
∆________≅ ∆ ________
19.
Complete this proof.
B
Given: D is the midpoint of AC
1  2
Show: ΔABC is Isosceles
A
1 2
D
C
D is the midpoint of 𝐴𝐶
1  2
Definition of Isosceles
20.
Complete this proof.
W
Given: WA|| RT
2
W  R
4
T
Prove: WT ||RA
1
A
1
3
R
2
3
W  R
7
6
5
Δ____ Δ_____
Converse of the
_________
Theorem
4
21.
Complete this proof.
C
Given: M is the midpoint of CD .
A  B
B
M
A
Prove: AD  BC
1
D
2
3
A  B
4
5
6
Y
22.
Write a proof to show how ∆𝑋𝑌𝑊 ≅ ∆𝑍𝑌𝑊 if ∆𝑋𝑌𝑍 is isosceles and point W is
the midpoint of 𝑋𝑍.
X
W
Z
Determine whether it is possible to have a triangle with sides of the given lengths.
23.
11, 13, 24
25.
The measure of 2 sides of a triangle are 32 and 50. Between what 2 numbers must the
measure of the 3rd side fall?
26. Complete the statement.
24.
7, 24, 25
27. Which one describes a restriction of x?
x
4
REVIEW YOUR CONSTRUCTIONS and CONJECTURES!!!
a.
b.
c.
d.
𝑥
𝑥
𝑥
𝑥
> 10
< 10
>4
<4