Similar Triangles - Indirect Measurement

Front

What is the definition of similar triangles?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding sides are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If the sides of two similar triangles are in the ratio 2:3, what does this imply about their areas?

Back

The areas of the two triangles are in the ratio of the squares of the sides' ratio, which is 4:9.

Front

How can you find the height of an object using similar triangles?

Back

You can set up a proportion using the heights and distances of two similar triangles to solve for the unknown height.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the sides of similar figures?

Back

The sides of similar figures must be proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If a statue's height is 25 feet and a person's height is 5 feet, what is the ratio of the statue's height to the person's height?

Back

The ratio is 25:5, which simplifies to 5:1.

Tags

CCSS.7.G.A.1

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

If two triangles have a height ratio of 3:4, what is the ratio of their areas?

Back

The ratio of their areas is 9:16.

Front

What is indirect measurement?

Back

Indirect measurement is a technique used to measure an object that is difficult to measure directly, often using similar triangles.