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29 November, 06:12

Kira drew traingle pqr and stu so that angle p is congruent to angle s, angle q is congruent to angle t, pr equals 12, and su equals 3. Are triangles pqr and stu similar? If so identify the similarity postulate or theorem that applies

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  1. 29 November, 06:18
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    The similarity postulate theorem is;

    Similar - AA

    Step-by-step explanation:

    We are told that angle p is congruent to angle s, angle q is congruent to angle t.

    Thus it is an AA similarity theorem because AA similarity theorem states that: If two angles in one triangle are congruent/respectively equal to two angles of another triangle, then the 2 triangles are similar.

    For example, if we assume ΔABC and ΔDEF to be two triangles such that ∠A = ∠D and ∠B = ∠E. Then the two triangles are equiangular and thus they are similar by AA.
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