Similar Triangles and Proportions Flashcard

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 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 A is similar to triangle B, and the scale factor is 1/2, what does this mean?

Back

It means that every side of triangle A is half the length of the corresponding side of triangle B.

Tags

CCSS.HSG.SRT.A.2

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

What is a proportion in mathematics?

Back

An equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

Solve for X: If 3/4 = X/8, what is X?

Back

X = 6.

Tags

CCSS.7.RP.A.2B

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the scale factor?

Back

The scale factor is 2.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal or their corresponding sides are not in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Solve the proportion: 5/x = 10/20. What is x?

Back

x = 2.

Tags

CCSS.7.RP.A.2B