Triangle SImilarities, Proportions, and Dilations

Front

What is the AA Similarity Theorem?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SAS Similarity Theorem?

Back

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 Similarity Theorem?

Back

If the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

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.

Front

How do you determine if two triangles are similar using angle measures?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar by the AA Similarity Theorem.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

How do you perform a dilation on a point?

Back

To dilate a point, multiply its coordinates by the scale factor.

Front

If triangle ABC is similar to triangle JKL, what can be said about their corresponding angles?

Back

The corresponding angles of triangle ABC and triangle JKL are equal.

Front

If the scale factor is 1/2, what happens to the size of the figure?

Back

The figure is reduced to half its original size.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.