Congruency & Similarity Review

Front

What does it mean for two figures to be congruent?

Back

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

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but different sizes.

Front

If a rectangle has a side length of 4 inches and is dilated by a scale factor of 2, what is the new side length?

Back

8 inches

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of a side of the dilated figure to the length of the corresponding side of the original figure.

Front

What is the result of reflecting a figure over the x-axis?

Back

The y-coordinates of the points of the figure change sign, while the x-coordinates remain the same.

Front

What is the result of reflecting a figure over the y-axis?

Back

The x-coordinates of the points of the figure change sign, while the y-coordinates remain the same.

Front

How can you determine if two figures are congruent by comparing their angles and sides?

Back

If all corresponding angles are equal and all corresponding sides are equal, the figures are congruent.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape.

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Yes, if the corresponding angles are also equal, the triangles are similar.

Front

What is the difference between congruence and similarity?

Back

Congruence means same size and shape; similarity means same shape but different sizes.