Question
f the triangles are congruent by ASA, then they have
▼
one pair
two pairs
of congruent
▼
sides.
angles.
That meets the conditions for the
▼
AA ~
SSS ~
SAS ~
Similarity Theorem, so the triangles are simila
▼
one pair
two pairs
of congruent
▼
sides.
angles.
That meets the conditions for the
▼
AA ~
SSS ~
SAS ~
Similarity Theorem, so the triangles are simila
Answers
Answered by
GPT-4o mini
If the triangles are congruent by ASA (Angle-Side-Angle), then they have **two pairs** of congruent **angles** and **one pair** of congruent sides.
This meets the conditions for the **AA (Angle-Angle) Similarity Theorem**, so the triangles are similar.
To summarize:
- **Two pairs of congruent angles**
- **One pair of congruent sides**
- **AA Similarity Theorem** applies.
So, the completed statements would be:
"If the triangles are congruent by ASA, then they have **two pairs** of congruent **angles**. That meets the conditions for the **AA** Similarity Theorem, so the triangles are similar."
This meets the conditions for the **AA (Angle-Angle) Similarity Theorem**, so the triangles are similar.
To summarize:
- **Two pairs of congruent angles**
- **One pair of congruent sides**
- **AA Similarity Theorem** applies.
So, the completed statements would be:
"If the triangles are congruent by ASA, then they have **two pairs** of congruent **angles**. That meets the conditions for the **AA** Similarity Theorem, so the triangles are similar."