Which triangle congruence criterion would you use to state that the given triangles are congruent? (1 point) Responses SSA SSA ASA ASA AAS AAS SAS SAS

Answer 1

To determine the appropriate triangle congruence criterion to state that two triangles are congruent, we need to understand the definitions of each criterion:

1. SSA (Side-Side-Angle): Not a valid congruence criterion because it can produce ambiguous cases (triangle could be formed in two different ways).

2. ASA (Angle-Side-Angle): Valid criterion where two angles and the included side are known.

3. AAS (Angle-Angle-Side): Valid criterion where two angles and any side not between them are known.

4. SAS (Side-Angle-Side): Valid criterion where two sides and the included angle are known.

Given this information, you would use:

• ASA if you know two angles and the included side,
• AAS if you know two angles and a non-included side,
• SAS if you know two sides and the included angle.

If you identify which pieces of information you have about the triangles, you can choose the correct option from the list. If specific information about the triangles was part of your question, please provide that to give a targeted recommendation.

Answer 2

Which triangle congruence criterion would you use to state that the given triangles are congruent? (1 point) Responses SSA SSA ASA ASA AAS AAS SAS SAS

Answer 3

It seems there are duplicated options in your responses for triangle congruence criteria. However, based on what you provided, here’s a quick summary of their meanings:

• SSA: Not valid for determining congruence due to the ambiguity it can create.
• ASA: Angles-Side-Angles; valid if two angles and the included side are known.
• AAS: Angles-Angle-Side; valid if two angles and a non-included side are known.
• SAS: Side-Angle-Side; valid if two sides and the included angle are known.

To give you a specific answer regarding which criterion to use to state that the triangles are congruent, I need more details about what information you have about the triangles in question. Please specify the given measures (angles and sides) for accurate guidance.