Question

a student says that two figures are congruent because one is rotated and then translated onto the other. do you agree? explain using what you know about rigid transformations.

question 6

i can comprehend that congruent figures have equal corresponding side leasures.
and areas,

i can identify and label corresponding points on congruent figures.

Explanation:

Rigid transformations (rotation, translation) preserve shape and size. If one figure can be rotated and translated onto another, their corresponding side lengths and angles are equal. By definition, congruent figures have equal corresponding side lengths and angles.

Answer:

Yes, I agree. Rigid transformations (rotation and translation) preserve the size and shape of a figure. So, if one figure can be rotated and then translated onto another, the two figures are congruent as they have the same size and shape (equal corresponding side lengths and angle measures).