# Geometry Practice Test - Unit 4a

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```					Geometry Practice Test – Unit 4a                     ☺Name: ___________________☺
Triangle Relationships                                Date: ___________ Pd: ____

Definitions (1-4)
1) Isosceles triangle

2) Scalene triangle

3) Side Angle Side Congruence Postulate (SAS)

4) Triangle Sum Theorem

5) Name 4 ways of proving triangles congruent.

6) Which, if any, congruence theorem or postulate would prove the triangles are congruent?

C                      F

A                  B D                        E

Write a congruence statement if possible: ___________________________

7) Which, if any, congruence theorem or postulate would prove the triangles are congruent?
D
C

A
B

Write a congruence statement if possible: ___________________________

Unit 4a: Practice Test                 Triangle Relationships                      Page 1 of 4
8)    Find the value of x.

40°

x°

9)    Find the value of x.

(3x + 5) °

55°                        x°

10)    Find the value of x.

60°

(2x – 30)°                   (x + 10) °

11)    In the figure below, ABCDE ≅ LMNOP . Which side of LMNOP corresponds to CD ?

B                                             N
C
O
M
A
D
P
L
E

Unit 4a: Practice Test                         Triangle Relationships               Page 2 of 4
12)   Given that ΔABC ≅ ΔMNO , AC = 4 ( x + 3) and MO = ( 7 x − 6) , find the value of x.
HINT – Draw & label the picture!

13)   Given that ΔDEF ≅ ΔLMN , m ∠D = (2x + 15)°, m ∠L = (3x − 6)°, and DF = ( 4x − 68 ) ,
find LN. HINT – Draw & label the picture!

14) Fill in the blank:
Corresponding Parts of _____________ Triangles are Congruent.              (CPCTC)

Unit 4a: Practice Test                  Triangle Relationships                             Page 3 of 4
15) State the reason for the statement in Step 4.

Proof of Theorem: Base angles of an isosceles triangle are congruent

Given: ∆ABC is isosceles                                     C
Prove: ∠ A ≅ ∠ B

A       X         B
Statements                         Reasons

1) ∆ABC is isosceles               1) Given
2) AC ≅ BC                         2) Def. Isosceles ∆
3) Draw ∠ bisector CX              3) Construction
4) ∠ACX ≅ ∠BCX                     4) ______________________
5) CX ≅ CX                         5) Reflexive property
6) ΔAXC ≅ ΔBXC                     6) SAS
7) ∠A ≅ ∠B                         7) CPCTC

16)   Write a two-column proof.
C                                   B
Given: CE ≅ BE and AE ≅ DE

Prove: ΔAEC ≅ ΔDEB                                          E

A
D

Unit 4a: Practice Test                Triangle Relationships                             Page 4 of 4

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