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What additional information could be used to prove that the triangles are congruent using AAS or ASA? Select three options. AngleB ≅ AngleP and BC ≅ PQ AngleA ≅ AngleT and AC = TQ = 3.2cm AngleA ≅ AngleT and AngleB ≅ AngleP AngleA ≅ AngleT and BC ≅ PQ AC = TQ = 3.2 cm and CB = QP = 2.2 cm

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Answer:

a b d

Step-by-step explanation:

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akposevictor

The additional information that could be used to prove that ΔABC ≅ ΔPTQ using AAS or ASA are:

1. ∠B ≅ ∠P and BC ≅ PQ

2. ∠A ≅ ∠T and AC = TQ = 3.2cm

4. ∠A ≅ ∠T and BC ≅ PQ

Recall:

  • For two triangles to be congruent by AAS Congruence Theorem, they must have two pairs of congruent angles and a pair of non-included congruent side.
  • For two triangles to be congruent by ASA Congruence Theorem, they must have two pairs of congruent angles and a pair of included congruent side.

We are given:

∠C ≅ ∠Q

To prove that ΔABC ≅ ΔPTQ by ASA, the additional information needed are:

  • ∠B ≅ ∠P
  • BC ≅ PQ

Alternatively, the ASA can be used if the following additional information is given:

  • ∠A ≅ ∠T
  • AC = TQ = 3.2cm

Using the AAS Congruence Theorem, the additional information needed would be:

  • ∠A ≅ ∠T
  • BC ≅ PQ

In summary, the additional information that could be used to prove that ΔABC ≅ ΔPTQ using AAS or ASA are:

1. ∠B ≅ ∠P and BC ≅ PQ

2. ∠A ≅ ∠T and AC = TQ = 3.2cm

4. ∠A ≅ ∠T and BC ≅ PQ

Learn more about Congruence Theorem on:

https://brainly.com/question/2102943

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