Similar Triangles

Front

What are similar triangles?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle ABC is similar to triangle DEF, what can be said about the ratios of their corresponding sides?

Back

The ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the similarity statement for triangles?

Back

A statement that indicates two triangles are similar, often written as ΔABC ∼ ΔDEF.

Tags

CCSS.HSG.SRT.A.2

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to triangle ABC with a side length of 6, what is the length of the corresponding side in triangle DEF?

Back

The corresponding side length in triangle DEF is 8.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Scale Factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle XYZ is similar to triangle PQR and the length of side XY is 10 and side PQ is 5, what is the scale factor?

Back

The scale factor is 2.

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are the same shape and size.

Tags

CCSS.8.G.A.2

Front

If two triangles have a scale factor of 3:2, how do their areas compare?

Back

The area of the larger triangle is (3/2)² = 9/4 times the area of the smaller triangle.

Tags

CCSS.7.G.A.1

Front

What is the relationship between the perimeters of similar triangles?

Back

The ratio of the perimeters of similar triangles is equal to the ratio of their corresponding side lengths.