Similar Triangles

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.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

What is the symbol used to denote similarity between triangles?

Back

The symbol for similarity is '∼'. For example, if triangle ABC is similar to triangle TRS, it is written as ΔABC ∼ ΔTRS.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

You can determine if two triangles are similar by setting up a proportion between the lengths of their corresponding sides and checking if the ratios are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the proportion to check if triangles with sides 12, 16, 18, and 24 are similar?

Back

The proportion is \( \frac{12}{16} = \frac{18}{24} \).

Tags

CCSS.HSG.SRT.A.2

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.HSG.CO.B.6

CCSS.8.G.A.2

Front

What is the value of x if \( \frac{8}{x} = \frac{12}{15} \)?

Back

The value of x is 10.

Tags

CCSS.7.RP.A.2B

Front

How do you find the missing side length in similar triangles?

Back

To find the missing side length, set up a proportion using the known side lengths of the similar triangles.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the ratios of the sides of similar triangles?

Back

The ratios of the corresponding sides of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 5 and 10 respectively, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

What is the value of x in the proportion \( \frac{8}{x} = \frac{12}{15} \)?

Back

The value of x is 10.

Tags

CCSS.7.G.A.1