Dilations and Similarity Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, 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 sides are proportional.

Front

What is the SAS Triangle Similarity Theorem?

Back

The SAS (Side-Angle-Side) Triangle 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 the SSS Triangle Similarity Theorem?

Back

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

Front

How do you determine if two triangles are similar using side lengths?

Back

To determine if two triangles are similar using side lengths, check if the ratios of the lengths of corresponding sides are equal.

Front

What is a scale factor in dilations?

Back

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

Front

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

Back

The lengths of the sides of the similar triangle would be 6, 8, and 10.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

Can rectangles be similar?

Back

Yes, all rectangles are similar because they have the same shape (right angles) and their sides are proportional.

Front

If the scale factor of a dilation is 1:2, what does this mean?

Back

This means that the image is twice the size of the original figure.