CFA: Similar Figures & Indirect Measure

Front

What are similar figures?

Back

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

Front

What does it mean for sides to be proportional in similar polygons?

Back

In similar polygons, the lengths of corresponding sides are in the same ratio, meaning they can be expressed as a fraction of each other.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are congruent, meaning they have the same measure.

Front

How do you calculate the area of a figure on a blueprint given its actual dimensions?

Back

To find the area on a blueprint, first determine the scale factor between the actual dimensions and the blueprint dimensions, then apply that scale factor to calculate the area.

Front

If a gymnasium is 96 feet long and 76 feet wide, what is its area in square feet?

Back

The area is 96 feet * 76 feet = 7296 square feet.

Front

What is the area of the gymnasium on a blueprint if it is 4.75 inches wide?

Back

The area on the blueprint is 28.5 square inches.

Front

What is the measure of angle E in triangles STU and DEF if they are similar?

Back

m∠E = 105 degrees.

Front

What is the measure of angle D in triangles STU and DEF if they are similar?

Back

m∠D = 29 degrees.

Front

How do you find the value of x in similar triangles?

Back

Use the properties of similar triangles, setting up a proportion based on corresponding sides.

Front

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

Back

Corresponding sides are proportional, and corresponding angles are congruent.