finding missing sides of similar triangles

Front

What is the definition of similar triangles?

Back

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

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

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

Back

The corresponding sides of similar triangles are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

Find the missing side length X if Triangle A has sides 10, 15, and Triangle B has sides X and 22.

Back

X = 6.818 (approximately) when using the proportion 10/15 = X/22.

Tags

CCSS.HSG.CO.C.9

Front

What is the formula to find the missing side in similar triangles?

Back

The formula is: (side length of triangle A) / (side length of triangle B) = (corresponding side length of triangle A) / (corresponding side length of triangle B).

Tags

CCSS.HSG.SRT.A.2

Front

If Triangle A has a side length of 5 and Triangle B has a corresponding side length of 15, what is the scale factor?

Back

The scale factor is 3 (15/5).

Tags

CCSS.7.G.A.1

Front

Using a proportion, find the height of a tree if a 2 ft stick casts a 1 ft shadow and the tree casts a shadow of 8 ft.

Back

Height of the tree = 16 ft.

Tags

CCSS.7.G.A.1

Front

What does it mean for two triangles to be congruent?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If Triangle A has sides 4, 6, and 8, and Triangle B has a corresponding side of 12, what is the missing side length of Triangle B?

Back

The missing side length of Triangle B is 9 (using the proportion 4/6 = 12/X).

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If the sides of Triangle A are 3, 4, and 5, and Triangle B is similar with a scale factor of 2, what are the sides of Triangle B?

Back

The sides of Triangle B are 6, 8, and 10.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2