Dilations, Similarity, & Angle Relationships

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same, using a scale factor.

Front

What does it mean for two figures to be similar?

Back

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

Front

What is the scale factor in a dilation?

Back

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

Front

If the scale factor is less than one, what happens to the figure?

Back

The figure undergoes a reduction, becoming smaller.

Front

What are acute angles?

Back

Acute angles are angles that measure less than 90 degrees.

Front

What are congruent figures?

Back

Congruent figures are figures that are the same size and shape.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the relationship between the angles in similar figures?

Back

In similar figures, corresponding angles are equal.

Front

What is the formula for finding the missing side in similar triangles?

Back

The formula is (side1 / side2) = (missing side / corresponding side).

Front

What is an enlargement in geometry?

Back

An enlargement is a transformation that increases the size of a figure using a scale factor greater than one.