Similarity Flashcard Geometry Honors 24

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 proportional.

Front

What is the AA criterion for triangle similarity?

Back

The AA (Angle-Angle) criterion 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 criterion for triangle similarity?

Back

The SAS (Side-Angle-Side) criterion 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 criterion for triangle similarity?

Back

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

Front

When figures are similar, what can be said about their corresponding sides?

Back

Their corresponding sides are proportional.

Front

What is a scale factor in dilation?

Back

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

Front

If a triangle has vertices A(2,0), B(3,-1), and C(-2,-5), what are the coordinates after dilation by a scale factor of 3?

Back

A'(6,0), B'(9,-3), C'(-6,-15).

Front

How do you find the scale factor when a point is dilated?

Back

The scale factor can be found by dividing the coordinates of the dilated point by the coordinates of the original point.

Front

What is the scale factor if the point (8, 12) is dilated to (2, 3)?

Back

The scale factor is 1/4.

Front

What is the relationship between the areas of similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding sides.