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, meaning all corresponding sides and angles are equal.

Front

What does it mean for two shapes to be not congruent?

Back

Two shapes are not congruent if they do not have the same size and shape, meaning at least one pair of corresponding sides or angles is different.

Front

Are all angles in similar figures congruent?

Back

False. In similar figures, corresponding angles are equal, but the figures can be different sizes.

Front

What is the translation of triangle ABC to triangle A'B'C'?

Back

The translation is down 9 units and right 4 units.

Front

What must be true about the sides of similar figures?

Back

The sides of similar figures must be proportional, meaning the ratios of corresponding sides are equal.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape.

Front

Name the four types of transformations in geometry.

Back

The four types of transformations are translation, rotation, reflection, and dilation.

Front

What is a translation?

Back

A translation is a transformation that slides a shape in a straight line from one position to another without changing its size or shape.

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

What is a reflection?

Back

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