7.2 Similar Figures

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 in proportion.

Front

What does the term 'corresponding' mean in geometry?

Back

In geometry, 'corresponding' refers to parts of similar figures that match in position, such as angles or sides.

Front

If two triangles are similar, what can we say about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

If the sides of two similar figures are in the ratio 2:3, what does this mean?

Back

This means that for every 2 units of length in one figure, there are 3 units of length in the other figure.

Front

Solve for X: If a triangle has sides of 4 ft and 6 ft, and a similar triangle has a side of X ft, what is X if the ratio is 2:3?

Back

X = 4 ft.

Front

What is the scale factor between two similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If the scale factor of two similar rectangles is 1:4, and the shorter side of the smaller rectangle is 3 cm, what is the length of the corresponding side in the larger rectangle?

Back

The corresponding side in the larger rectangle is 12 cm.

Front

Find side length X: Triangle A has sides 5 cm, 10 cm, and 15 cm. Triangle B is similar to Triangle A, and one side is 10 cm. What is X?

Back

X = 10 cm.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

Front

If the side lengths of two similar figures are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25.