Chapter 7 Review

Front

A power pole 10 m tall casts a shadow 8 meters long. If a building casts a shadow 14 m long, how tall is the building?

Back

17.5 m

Front

Find the missing length in a proportional relationship where one side is 9 and the corresponding side is unknown. What is the unknown length?

Back

18

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

Front

Solve for x in the equation: 2x + 3 = 21.

Back

9

Front

Find the value of x in the equation: 3x - 5 = 50.

Back

18.67

Front

What is the definition of similar polygons?

Back

Polygons that have the same shape but not necessarily the same size, with corresponding angles equal and corresponding sides proportional.

Front

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

Back

Their corresponding angles are congruent.

Front

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

Back

4:9 (the square of the ratio of the sides).

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height = (Length of shadow of object / Length of shadow of reference) * Height of reference.

Front

In a right triangle, if one angle is 30 degrees, what is the ratio of the lengths of the sides opposite and adjacent to this angle?

Back

1:√3.