Similar Shapes and Scale Drawings 7.5C

Front

What are similar shapes?

Back

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

Front

What is a scale drawing?

Back

A drawing that represents an object or area with accurate proportions, but at a different size.

Front

What is the scale factor?

Back

The ratio of the lengths of two corresponding sides of similar figures.

Front

What are corresponding angles?

Back

Angles that are in the same position in two similar shapes.

Front

What does it mean for sides to be proportional?

Back

The lengths of the sides of similar shapes maintain a constant ratio.

Front

If two shapes are similar, what can be said about their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

How do you find the height of a window in a similar shape problem?

Back

Use the scale factor to set up a proportion between the corresponding dimensions of the shapes.

Front

What is the relationship between congruent angles and similar figures?

Back

In similar figures, corresponding angles are congruent.

Front

If a door is 186 cm tall and a window is similar with a height of 150 cm, what is the scale factor?

Back

The scale factor is 150/186 or approximately 0.806.

Front

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

Back

Area = length × width.