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Crank
4 years ago
5

Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q

Mathematics
2 answers:
valentinak56 [21]4 years ago
6 0

Answer:

b

Step-by-step explanation:

prohojiy [21]4 years ago
5 0

Answer:

B. of the AAS congruence theorem.

Step-by-step explanation:

Triangles TSR and QRS share side SR

SR=RS

Angle TSR and Angle QRS are right angles, so

∠S= ∠R

Angle T Is-congruent-to Angle Q, so

∠T= ∠Q

From these data, we have one congruent side and two congruent angles. The possible congruence theorem that we can apply will be either ASA or AAS. In the ASA theorem, the congruence side must be between the two congruent angles.

The congruence side required for the ASA theorem for this triangle is ST = RQ. It is wrong because the congruent side we have is SR=RS. The correct option is the AAS theorem.

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