Question

1) true or false: Two triangles with three pairs of corresponding congruent angles are congruent.

2) true or false: Two triangles with two pairs of congruent corresponding angles and three pairs of congruent corresponding sides are congruent.​

Answer 1

Step-by-step explanation:

1. True
2. False

For two triangle to be congruent,there must be any three sides or angle including congruent

Answer 2

Congruent triangles have three pairs of corresponding sides that are congruent, while two triangles that have three pairs of corresponding congruent angles are similar and not necessary congruent. Therefore:

• Statement 1 is FALSE.

• Statement 2 is TRUE.

Recall:

• Two triangles having three pairs of corresponding sides have the same shape and size, and are congruent.
• Two triangles having three pairs of corresponding angles have the same shape but may have different sizes. They are rather similar.

1. When the two triangles have the three pairs of corresponding angles that are congruent, they can only be said to be similar. They have the same shape but may be of different sizes.

• They will be congruent if all corresponding three pairs of sides of both triangles are congruent.

Therefore, statement 1 is FALSE.

2. Knowing that three pairs of corresponding sides of two triangles are congruent, it is enough to prove that both triangles are congruent to each other.

Therefore, statement 2 is TRUE.

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