Question

determine if the two figures are congruent by using transformations. explain your reasoning. (examples 1 and 2)

Explanation:

Step1: Check number of squares

The red - colored figure has 5 squares and the green - colored figure has 5 squares.

Step2: Try to match shapes

By rotating and translating the red figure, we can see that we can make it coincide with the green figure. All corresponding sides and angles will match.

Answer:

The two figures are congruent because we can use rotations and translations to make one figure coincide with the other, and they have the same number of identical - sized squares.