Question

practice 4.6
name: sophie rower
determine if the triangles are congruent by asa, aas, hl or not congruent.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.

Explanation:

Step1: Analyze Triangle 2

Two pairs of angles are congruent (marked right angles and shared vertical angle), and the included side is shared. This matches ASA.

Step2: Analyze Triangle 3

Both are right triangles, share the hypotenuse, and have a congruent leg. This matches HL.

Step3: Analyze Triangle 4

Two pairs of angles are congruent (marked acute angles and right angles), and a non-included side is congruent. This matches AAS.

Step4: Analyze Triangle 6

Two pairs of angles are congruent (marked acute angles and right angles), and a non-included side is congruent. This matches AAS.

Step5: Analyze Triangle 7

Two pairs of angles are congruent (marked right angles and shared angle), and the included side is shared. This matches ASA.

Step6: Analyze Triangle 8

Both are right triangles, share the hypotenuse, and have a congruent leg. This matches HL.

Step7: Analyze Triangle 9

Two pairs of angles are congruent (vertical angles and marked angles), and a non-included side is congruent. This matches AAS.

Step8: Analyze Triangle 10

Two pairs of angles are congruent (marked acute angles and right angles), and a non-included side is congruent. This matches AAS.

Answer:

1. ASA
2. ASA
3. HL
4. AAS
5. HL
6. AAS
7. ASA
8. HL
9. AAS
10. AAS