Larson Similar Triangles Word Problems

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 proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the length of a side in similar triangles?

Back

Use the proportion of the corresponding sides from the similar triangles.

Tags

CCSS.HSG.SRT.A.2

Front

What is the formula for finding the distance across a lake using similar triangles?

Back

Set up a proportion based on the lengths of the sides of the triangles formed.

Tags

CCSS.HSG.CO.C.9

Front

If triangle A has sides of 3, 4, and 5, and triangle B has a corresponding side of 6, what is the length of the other sides of triangle B?

Back

The sides of triangle B are 4.5 and 6.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for two figures to be similar?

Back

It means they have the same shape but may be different sizes, with corresponding angles equal and sides proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

In a word problem involving similar triangles, what is the first step to solve for an unknown length?

Back

Identify the corresponding sides and set up a proportion.

Tags

CCSS.HSG.SRT.A.2

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9.

Front

What is the significance of rounding answers in word problems?

Back

Rounding provides a more practical answer that is easier to interpret in real-world contexts.

Tags

CCSS.5.NBT.A.4

Front

If one triangle has a height of 10 cm and a base of 5 cm, and a similar triangle has a height of 15 cm, what is the base of the similar triangle?

Back

The base of the similar triangle is 7.5 cm.

Tags

CCSS.HSG.SRT.A.2