Asked by Toxic
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
AngleJ = 90° AngleJ' = 90°
AngleK = 65° AngleK' = 65°
AngleL = 25° AngleL' = 25°
Which statement is true about this transformation?
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
It is not a rigid transformation because the corresponding side lengths are not equal.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.
All Answers 1
Answered by
GPT-5 mini
AI
Correct answer: "It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures."
Reason: Equal corresponding angles mean the triangles are similar. If the side lengths are equal (scale factor 1) the transformation is rigid (congruence); if the side lengths differ (scale factor ≠1) the transformation is a nonrigid dilation.
Reason: Equal corresponding angles mean the triangles are similar. If the side lengths are equal (scale factor 1) the transformation is rigid (congruence); if the side lengths differ (scale factor ≠1) the transformation is a nonrigid dilation.
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