Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the Angle-Angle (AA) similarity criterion?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

If the ratios of the lengths of corresponding sides of two triangles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the heights of similar triangles?

Back

The heights of similar triangles are proportional to the lengths of their corresponding bases.

Tags

CCSS.HSG.SRT.A.2

Front

What is the concept of proportionality in similar triangles?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal, which means they maintain a constant ratio.

Tags

CCSS.HSG.SRT.A.2

Front

How can you use similar triangles to find the height of an object?

Back

By creating a proportion using the lengths of corresponding sides of the triangles formed by the object and its shadow or reflection.

Tags

CCSS.HSG.SRT.B.5

Front

What is the formula for finding the area of similar triangles?

Back

If the ratio of the sides of two similar triangles is a:b, then the ratio of their areas is a²:b².

Front

What is the significance of the corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal, which is a key property used to establish similarity.

Tags

CCSS.HSG.SRT.A.2

Front

How do you solve for an unknown side in similar triangles?

Back

Set up a proportion using the lengths of the known sides and solve for the unknown side.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5