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 proportional.

Front

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

Back

In similar figures, the lengths of corresponding sides are in the same ratio. This means that if one side of a figure is twice as long as the corresponding side of another figure, all other sides will also be twice as long.

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

How do you find a missing side in similar figures?

Back

To find a missing side in similar figures, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

If triangle A has sides of 3, 4, and 5, and triangle B has a side of 6, what is the length of the corresponding side in triangle B?

Back

The corresponding side in triangle B is 8, because the sides are proportional (3:4:5 = 6:x = 3:4).

Front

True or False: All similar figures are congruent.

Back

False. Similar figures have the same shape but can be different sizes, while congruent figures are the same size and shape.

Front

What is the scale factor in 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 2:3, and the shorter side of the first rectangle is 4, what is the length of the corresponding side in the second rectangle?

Back

The corresponding side in the second rectangle is 6, because 4 * (3/2) = 6.

Front

Which two figures are similar: A (2, 4), B (4, 8), C (3, 6)?

Back

Figures A and B are similar because their sides are in the ratio of 1:2.

Front

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

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding sides.