Solving Proportions-Similar Figures

Front

What are similar figures?

Back

Two objects that are the same shape but not the same size.

Front

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

Back

The ratios of the lengths of corresponding sides of similar figures are equal.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

How do you find a missing side in similar figures?

Back

Set up a proportion using the lengths of corresponding sides and solve for the missing length.

Front

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

Back

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

Front

If one triangle has sides of length 3, 4, and 5, and another triangle is similar with a longest side of 10, what are the lengths of the other sides?

Back

The other sides are 6 and 8.

Front

True or False: All congruent figures are similar.

Back

True.

Front

True or False: All similar figures are congruent.

Back

False.

Front

What is the scale factor in similar figures?

Back

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

Front

If two similar rectangles have a scale factor of 2, and the shorter side of the smaller rectangle is 5, what is the length of the shorter side of the larger rectangle?

Back

10.