Question

write the congruence statements for problems 6 - 16. match the question number with the answer below. color the picture accordingly. blue: sas yellow: aas blue: △rst≅△uts yellow: △abc≅△ red: △efg≅△jkg purple: △abc≅△def red: △rst≅△vuw purple: △sru≅△ green: sss brown: △sru≅△tur green: △efg≅△jlk brown: hl black: △rst≅△uvt orange: asa black: △abc≅△dfe orange: △rst≅

Explanation:

Step1: Recall congruence postulates

• SAS (Side - Angle - Side): Two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.
• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.
• AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle.
• SSS (Side - Side - Side): All three sides of one triangle are congruent to all three sides of another triangle.
• HL (Hypotenuse - Leg): In right - triangles, the hypotenuse and one leg of one right - triangle are congruent to the hypotenuse and one leg of another right - triangle.

Step2: Analyze each pair of triangles

Problem 5

• There are three pairs of congruent sides. So the congruence postulate is SSS.

Problem 6

• There are two pairs of congruent sides and the included angles are congruent. So the congruence postulate is SAS.

Problem 7

• There are two pairs of congruent angles and the included side is congruent. So the congruence postulate is ASA.

Problem 8

• There are two pairs of congruent sides and the included angles are congruent. So the congruence postulate is SAS.

Problem 9

• There are two pairs of congruent angles and the included side is congruent. So the congruence postulate is ASA.

Problem 10

• There are three pairs of congruent sides. So the congruence postulate is SSS.

Problem 11

• There are two pairs of congruent angles and a non - included side is congruent. So the congruence postulate is AAS.

Problem 12

• There are two pairs of congruent angles and the included side is congruent. So the congruence postulate is ASA.

Problem 13

• There are two pairs of congruent sides and the included angles are congruent. So the congruence postulate is SAS.

Problem 14

• There are three pairs of congruent sides. So the congruence postulate is SSS.

Problem 15

• There are three pairs of congruent sides. So the congruence postulate is SSS.

Problem 16

• There are two pairs of congruent sides and the included angles are congruent. So the congruence postulate is SAS.

Answer:

1. SSS
2. SAS
3. ASA
4. SAS
5. ASA
6. SSS
7. AAS
8. ASA
9. SAS
10. SSS
11. SSS
12. SAS