Review Ch 4 - Congruent Polygons

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Geometry

Ch.

Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, state the congruence postulate you would use. (SSS, SAS, ASA, AAS, HL, or not  ) 1. _____________________ 2. _____________________ 3. _____________________ 4. _____________________ Δ XVY & Δ ZVW

X Y E V Z W

Δ

M

MPN &

Q

Δ

P

QPR

R N

7. Identify all pairs of congruent corresponding angles and corresponding sides.

D

Δ BCE &

E C

Δ DCE

B

Angles:  D  _________ Sides:

DE

 __________

D C B

 DEC  _________

CD

 __________  ECD  _________

EC

 __________ 8. Write a congruency statement for the Triangles above: _  ______________  __  ______________

9-11: Find the values of x and y 9. x = ________, y = _______ 10. x = ________, y = _______

60

y

x

 12. Quadrilateral ABCD

A 100

17

 Quadrilateral EFHG

B 97

H 6 J y

x

50

75

G 25 D 4a 2 b+9 K 3b-6 47 C c 10 F m+2 4

2x+8



E

13. 11. x = ________, y = _______ .

Find x and

x

 a = ________ b = ________ c = ________ m = _______  C = ______ .

y

 = ___________

14. Complete the proof.

3._________________________________ 6._________________________________

15. Classify each triangle by its angle measures: 16. Classify each triangle by its side lengths:         17.

    Find   the   value   of   x   and   all   of   the   side   lengths.

                 

18.

   Find   the   value   of   x   and   the   measure   of    ACB.

          19.

Find the measure of < B. 20.

Find the measure of < HEF.

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