Congruent Shapes and Rigid Transformations

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape.

Front

If Δ ABC is congruent to Δ DEF, which angles are congruent?

Back

∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

Front

What is a rigid transformation?

Back

A rigid transformation is a movement of a shape that preserves its size and shape, including translations, rotations, and reflections.

Front

What is the result of a translation?

Back

A translation moves a shape from one location to another without changing its size, shape, or orientation.

Front

What is the result of a rotation?

Back

A rotation turns a shape around a fixed point at a certain angle.

Front

What is the result of a reflection?

Back

A reflection flips a shape over a line, creating a mirror image.

Front

If LMNO is congruent to WZYX, which angle corresponds to ∠O?

Back

∠O corresponds to ∠X.

Front

How can you determine if two figures are congruent?

Back

Two figures are congruent if you can match them up perfectly through rigid transformations.

Front

What is the corresponding angle of angle B in Δ ABC if it is congruent to Δ DEF?

Back

The corresponding angle is ∠E.

Front

What does it mean if two shapes are not congruent?

Back

It means they are either different in size, shape, or both.