Question

this is a 2 - page document!
determine if the triangles can be proved congruent, if possible, by sss, sas, asa, aas, or hl.
write your answer on the line provided. if not congruent, write
ot congruent.\

1. _____________
2. _____________
3. _____________
4. _____________
5. _____________
6. _____________

Explanation:

Step1: Analyze Triangle 1

Two pairs of sides marked congruent, included angle congruent. This matches SAS: two sides + included angle congruent.

Step2: Analyze Triangle 2

Two pairs of angles marked congruent, included side (shared side) congruent. This matches ASA: two angles + included side congruent.

Step3: Analyze Triangle 3

Right triangles, hypotenuse congruent, one leg congruent. This matches HL: right triangle hypotenuse + leg congruent.

Step4: Analyze Triangle 4

Two pairs of angles congruent, non-included side congruent. This matches AAS: two angles + non-included side congruent.

Step5: Analyze Triangle 5

Three pairs of sides marked congruent. This matches SSS: three sides congruent.

Step6: Analyze Triangle 6

Two pairs of sides marked congruent, but the angle between them is not marked congruent (the arrows indicate parallel sides, not congruent angles). No congruence postulate applies.

Answer:

1. SAS
2. ASA
3. HL
4. AAS
5. SSS
6. not congruent