Honors Geometry Companion Book, Volume 1

4.2.1 Triangle Congruence: SSS and SAS - Worksheet

Example 1: Use SSS to explain why the triangles in each pair are congruent. 1. △ ABD ≅ △ CDB 2. △ MNP ≅ △ MQP

M

C

B

P

N

D

A

Q

Example 2: 3.  This Texas flag consists of a blue, perpendicular stripe with a white star in the center. The star consists of five triangles. GJ = LG = 20 in., and GK = GH = 13 in. Use SAS to explain why △ JGK ≅ △ LGH .

G

K

H

J

L

Example 3: Show that the triangles are congruent for the given value of the variable. 4. △ GHJ ≅ △ IHJ , x = 4

5. △ RST ≅ △ TUR , x = 18 R 61

H

S

3 x – 9

3

36°

I

G

2 x °

U

T

4 x – 11

2 x – 3

5

J

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