Question

Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
J = 90° J' = 90°
K = 65° K' = 65°
L = 25° L' = 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°.

Answer 1

Answer:

The correct option is 3.

Step-by-step explanation:

Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.

J = 90°, J' = 90°

K = 65°, K' = 65°

L = 25°, L' = 25°

In a rigid transformation the  image and pre-image are congruent. Reflection, translation and rotation are rigid transformation.

In a non rigid transformation the image and pre-image are similar. Dilation is a non rigid transformation.

In a rigid or a nonrigid transformation, the corresponding angles are same. If the corresponding sides are same, then it is a rigid transformation and if the corresponding sides are proportional, then it is a non rigid transformation.

It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.

Therefore option 3 is correct.

Answer 2

The correct option is 3.

The following information should be considered:

• In a rigid transformation, the  image & pre-image are congruent.
• Reflection, translation and rotation are rigid transformation.
• In a non-rigid transformation the image and pre-image are similar.
• Dilation is a non rigid transformation.
• In a rigid or a nonrigid transformation, the corresponding angles are same.
• If the corresponding sides are same, then it is a rigid transformation.
• If the corresponding sides are proportional, then it is a non rigid transformation.
• It can be a rigid or a nonrigid transformation based on whether the corresponding side lengths have the same measures.

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