Congruent figures, translations, and reflections

Front

What does it mean when two figures are congruent?

Back

The figures are the same size and same shape.

Front

What are the properties of congruent figures?

Back

Congruent figures have equal corresponding angles and equal corresponding sides.

Front

How can you determine if two figures are congruent?

Back

By superimposing one figure over the other to see if they match exactly.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is a reflection in geometry?

Back

A reflection is when a figure is flipped over a line, creating a mirror image.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected.

Front

What is the difference between a translation and a reflection?

Back

A translation slides a figure without changing its orientation, while a reflection flips it over a line.

Front

Can two figures be congruent if one is a translation of the other?

Back

Yes, translations preserve size and shape, so the figures remain congruent.

Front

What does it mean for figures to be similar?

Back

Similar figures have the same shape but may differ in size; their corresponding angles are equal, and their sides are proportional.

Front

What is the effect of a reflection on the coordinates of a point?

Back

The coordinates of a point change based on the line of reflection; for example, reflecting over the x-axis changes (x, y) to (x, -y).