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Which conclusion can be drawn from Amrit’s transformations?

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Which conclusion can be drawn from Amrit’s transformations?

Amrit shows that ΔQTS is congruent to ΔSRQ by rotating ΔQTS 180° around point C so it matches up with △SRQ exactly. Which conclusion can be drawn from Amrit’s transformations?

– If one pair of angles is congruent, then all pairs of angles are congruent.
– If two pairs of angles and the included side are congruent, the triangles are congruent.
– If the triangles share one side, the triangles are congruent.
– If two triangles are congruent, a dilation can be used to match them up exactly.




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    1. Quizzma Team

      The correct conclusion that can be drawn from Amrit’s transformations is:

      – If two pairs of angles and the included side are congruent, the triangles are congruent.

      Explanation: Since Amrit was able to rotate triangle ΔQTS 180° around point C to match triangle ΔSRQ exactly, it implies that the two triangles are congruent. In general, if two triangles have two pairs of congruent angles and the included side (the side between the two angles) is also congruent, then by the Angle-Side-Angle (ASA) postulate, the triangles are indeed congruent. Great job thinking about transformations and congruence! If you have more questions, feel free to ask.

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