Step 1: We know that angle cap t cap s cap r is congruent to angle cap q cap r cap s because all right angles are congruent. Step 2: We know that angle cap t is congruent to angle cap q because it is given. Step 3: We know that line segment cap s cap r is congruent to line segment cap r cap s because of the reflexive property. Step 4: triangle cap t cap s cap r is congruent to triangle cap q cap r cap s because
Answer
A
of the third angle theorem.
B
of the AAS congruence theorem.
C
all right triangles are congruent.
D
of the ASA congruence theorem.
Explanation
The triangles have two pairs of congruent angles: the right angles ∠TSR and ∠QRS, and the given angles ∠T and ∠Q. They also share the congruent side SR. This side is not between the two known angles, so the triangles are congruent by AAS, not ASA.
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