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Transcript
Name_______________________________________
Date_____________
Period______
Geometry w/ Trig
Unit 6 Triangle Congruence Review – Part 2
_____  ______
_____  ______
_____  ______
_____  ______
_____  ______
_____  ______
Congruence Statement: ____________________
_____  ______
_____  ______
_____  ______
_____  ______
_____  ______
_____  ______
_____  ______
_____  ______
Congruence Statement: ___________________
3.
a) List all pairs of congruent sides and angles:
_____  ______
_____  ______
_____  ______
_____  ______
_____  ______
_____  ______
_____  ______
_____  ______
x = _______
y = _______
b) set up equations:
w = ________
z = _________
4. Use the diagram on the right, where LMN  PQR . Mark the corresponding angles and sides congruent.
a. mP  ________ 
e. MNL  _______
b. mM  ________ 
f.
c. R  _______
g. LN
QR  ______
 ______
d. mN  ________ 
5. Given XYZ  RST , find a and b.
a = _____________
b = _____________
For #6-9, state the postulate that proves the triangles congruent. Complete the congruence statement.
6.
7.
Postulate:
Postulate:
_____________
_____________
ΔKLN
ΔPQR

__________
8.

__________
9.
Postulate:
Postulate:
_____________
_____________
ΔGHF
ΔMLN

__________

__________
For #10-12, explain why the two triangles CANNOT be proven congruent.
10.
_____________________________________________________________
_____________________________________________________________
11.
_____________________________________________________________
_____________________________________________________________
12.
_____________________________________________________________
_____________________________________________________________
MULTIPLE-CHOICE: For #13-14, choose the correct answer.
13. In order to use the AAS Postulate to prove ΔABC  ΔDEF, what is the third pair of parts that needs to be
congruent?
A. B  E
B. C  F
C. B  F
D. C  E
14. In order to use the SAS Postulate to prove ΔABC  ΔDEF, what is the third pair of parts that needs to be
congruent?
A. A  F
B. B  E
C. A  D
D. C  D
15. Given ADC  CBA , mark the diagram, solve for x, and find the area of ADC . ( Area  1 bh ).
2
Given: NPM  NPO
NP bi sec ts MNO
16.
Prove: MNP  ONP
Statements
Reasons
1.
1.
2. NP bi sec ts MNO
2.
3.
3. If a segment bisects an ___________
 _______   ________
Then its splits the angle into _________________________________
4.
4.
5.
5.
Given: Q  S
17.
R is the midpoint of PT .
Prove: PRQ  TRS
Statements
Reasons
1.
1. Given
2.
2. If two angles are _____________________,
then they are _______________________.
3. R is the midpoint of PT .
3. Given
4.
4. If a point is the _________________ of a segment,
then it divides the segment into 2
5.
5.

__________________.