Dilations & Similar Triangles

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 does dilation mean in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What is a scale factor in dilation?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation.

Front

If a triangle is dilated by a scale factor of 3, what happens to its sides?

Back

Each side of the triangle will be multiplied by 3, making the triangle three times larger.

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 in proportion, 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 happens to the angles of a polygon during dilation?

Back

The corresponding angles of the original polygon and the dilated polygon remain equal.

Front

What is the relationship between the original figure and its image after dilation?

Back

The original figure and its image after dilation are similar, but not necessarily congruent unless the scale factor is 1.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides after a dilation with a scale factor of 2?

Back

The new side lengths will be 6, 8, and 10.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.