Review Unit 4 Bell Ringer (1/2 unit)

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but keeps its shape the same, defined by a scale factor.

Front

If (x, y) transforms to (2x, 2y), what type of transformation is this?

Back

This is an example of a dilation with a scale factor of 2.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their sides are proportional.

Front

What is the AA similarity theorem?

Back

The AA (Angle-Angle) similarity theorem states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SAS similarity theorem?

Back

The SAS (Side-Angle-Side) similarity theorem states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the SSS similarity theorem?

Back

The SSS (Side-Side-Side) similarity theorem states that if the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

If a triangle has sides of lengths 3, 4, and 5, what is the ratio of its sides?

Back

The ratio of the sides is 3:4:5.

Front

What is the definition of congruent shapes?

Back

Congruent shapes are figures that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the relationship between similar triangles and their corresponding sides?

Back

In similar triangles, the lengths of corresponding sides are proportional.