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 in similar figures to be proportional?

Back

It means that the ratios of the lengths of corresponding sides of the figures are equal.

Front

True or False: Corresponding angles in similar figures are congruent.

Back

True

Front

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

Back

The lengths of their corresponding sides are in proportion.

Front

How do you find a missing side length in similar figures?

Back

You can set up a proportion using the lengths of the corresponding sides and solve for the missing length.

Front

If one triangle has sides of lengths 4, 6, and 8, and is similar to another triangle, what could be the lengths of the sides of the second triangle?

Back

The sides could be in the ratio of 2:3:4, such as 8, 12, and 16.

Front

What is the scale factor in similar figures?

Back

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

Front

If triangle A has a side length of 5 and triangle B has a corresponding side length of 10, what is the scale factor from triangle A to triangle B?

Back

The scale factor is 2.

Front

True or False: Similar figures can have different shapes.

Back

False. Similar figures have the same shape.

Front

If two rectangles are similar and one has a length of 4 and a width of 2, what could be the dimensions of the other rectangle if the scale factor is 3?

Back

The dimensions of the other rectangle could be 12 (length) and 6 (width).