Dilations and Similarity

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape. It is defined by a center point and a scale factor.

Front

What does similarity mean in geometry?

Back

Similarity in geometry refers to figures that have the same shape but may differ in size. Corresponding angles are equal, and corresponding sides are proportional.

Front

What is AA Similarity?

Back

AA Similarity states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is SAS Similarity?

Back

SAS Similarity states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What is SSS Similarity?

Back

SSS Similarity states that if the three sides of one triangle are proportional to the three sides of another triangle, the triangles are similar.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

How do you determine if two triangles are similar?

Back

To determine if two triangles are similar, check if their corresponding angles are equal or if their corresponding sides are proportional.

Front

What transformation occurs when applying the rule (x,y) → (x,-y)?

Back

This transformation reflects a point across the x-axis.

Front

What transformation occurs when applying the rule (x,y) → (-x,y)?

Back

This transformation reflects a point across the y-axis.

Front

What transformation occurs when applying the rule (x,y) → (kx, ky) where k < 1?

Back

This transformation is a dilation that reduces the size of the figure by a scale factor of k.