Question

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options.

Answer 1

Answer:

1. HL

2. SAS

3. SSS

Step-by-step explanation:

Triangles ABR and ACR share side AR (hypotenuse of two right triiangles).

Angles ABR and ACR are right angles.

Sides AB and AC are congruent.

Sides BR and CR are congruent.

1. You can use HL theorem, because two triangles have congruent pair of legs and congruent hypotenuses.

2. You can use SAS theorem, because two triangles have two pairs of congruent legs and a pair of included right angles between these legs.

3. You can use SSS theorem, because two triangles have two pairs of congruent legs and  congruent hypotenuses.

Answer 2

Answer

1. HL

2. SAS

3. SSS

Step-by-step explanation:

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