Question

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

A) The two triangles are congruent because all rectangles are congruent.
B) The two triangles are not congruent because a translation changes side length.
C) The two triangles are not congruent because a translation changes angle measures.
D) The two triangles are congruent because a translation does not change size and shape.

Answer 1

D

Explanation:

Congruent means the same. Translating it just moves it somewhere else.

Answer 2

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

Explanation:

• A translation is a kind of rigid motions that moves a geometric figure on a xy plane by some distance in a particular direction .

Since all rigid motions create congruent figures , it means it do not change the shape and size of the figure.

So, translation does not change size and shape.

If a triangle is drawn and then translated, then they are congruent because a translation does not change size and shape.