Question

A rectangle is drawn and then translated as shown in the diagram. Which statement is true?

A) The two rectangles are congruent because all rectangles are congruent.

B) The two rectangles are not congruent because a translation changes side length.

C) The two rectangles are not congruent because a translation changes angle measures.

D) The two rectangles are congruent because a translation does not change size and shape.

Answer 1

The answer is D, translations only move the shape it doesn't change the shape in any way.

Answer 2

The correct answer option is D) The two rectangles are congruent because a translation does not change size and shape.

Explanation:

We know that a rectangle is drawn and then translated to it's bottom right side.

In geometry, translation is a term used describe a function which moves an object to a certain distance. However, the object is not altered in terms of rotation, reflection or resizing except for the change in its position.

So here, the rectangles are congruent because their position is changed only.