Fast and Curious: Similar Figures

Front

What is a similarity statement?

Back

A similarity statement is a mathematical statement that indicates two figures are similar, meaning they have the same shape but not necessarily the same size. It is often written in the form of a ratio of corresponding sides.

Front

What does it mean for two triangles to be 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 AA Similarity Postulate?

Back

The AA (Angle-Angle) Similarity Postulate 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 SSS Similarity Theorem?

Back

The SSS (Side-Side-Side) Similarity Theorem states that if the lengths of 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 is a scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. It is the ratio of the lengths of corresponding sides of the original figure to the dilated figure.

Front

How do you find the similarity ratio of two similar figures?

Back

The similarity ratio is found by taking the ratio of the lengths of corresponding sides of the two figures.

Front

What is the formula for finding the area ratio of similar figures?

Back

The area ratio of two similar figures is the square of the similarity ratio of their corresponding sides.

Front

If the scale factor is k = 3, what does this mean for the dimensions of the figure?

Back

If the scale factor is k = 3, it means that each dimension of the original figure is multiplied by 3 in the dilated figure, making it three times larger.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.