Understand Congruent Figures

Which is a way to show ΔDEF is congruent to ΔD’E’F’?

• A rotation 90° and a translation 1 unit up and 1 unit left

• A reflection across the line y = 1 and a translation 2 units up

• A rotation 180° about the origin and a translation 1 unit up

• A reflection across the y-axis and a translation 1 unit up and 1 unit left

 ∠A = ≅

• ∠M

• ∠N

• ∠L

FD = ≅

• IK

• KJ

• JI

• EF

Q1. How long is the object?

• A) 3 inches

• B) 5 inches

• C) 90 inches

• D) 4 inches

4m

5m

3m

4.5m

• 4m

• 5m

• 3m

• 4.5m

4m 5m 3m 4.5m

• 4m

• 5m

• 3m

• 4.5m

• 4m
• 5m
• 3m
• 4.5m

FD = ≅

• IK

• KJ

• JI

• EF

Tell whether the two figures are congruent.

• Yes, same size and same shape

• No, same shape but different sizes

• No, different size and different shapes

If two figures are congruent, then their corresponding sides and angles are also congruent.

• False, only their corresponding sides.

• False, only their angles.

• True, their corresponding sides and angles are congruent.