4.2 Review Worksheet

4.2.1 Triangle Congruence: SSS and SAS Use SSS to explain why the triangles in each pair are congruent. 1. △ BCD ≅ △ EDC B C 4 in. 2. △ GJK ≅ △ GJL G

3 in.

3 in.

K

L

J

D

E

4 in.

3. The lights shining on a stage appear to form two congruent right triangles. Given EC ≅ DB , use SAS to explain why △ ECB ≅ △ DBC .

E

D

C

B

Show that the triangles are congruent for the given value of the variable. 4. △ MNP ≅ △ QNP , y = 3 M ( 10 y 2 ) ° 5. △ XYZ ≅ △ STU , t = 5 X

S

t 2 – 3

U

3

4

20

22

4 t

N

P

24

Y

Z

y 2 – 6

y + 1

5 t – 1

T

Q

247

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