Similar Figures and Proportions Review

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 the lengths of their corresponding sides are proportional.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding sides are equal.

Front

How do you set up a proportion to find a missing side?

Back

To set up a proportion, you can use the formula: (side1/side2) = (side3/side4), where side1 and side3 are corresponding sides of the two figures.

Front

If two triangles are similar, what can be said about their angles?

Back

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

Front

What is the cross-multiplication method in solving proportions?

Back

The cross-multiplication method involves multiplying the numerator of one fraction by the denominator of the other fraction to find the unknown value.

Front

Solve for x: 3/4 = x/8

Back

x = 6

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 the scale factor of two similar figures is 2:3, what does this mean?

Back

This means that for every 2 units in the first figure, there are 3 units in the second figure.

Front

How do you find the length of a side in similar figures?

Back

To find the length of a side in similar figures, use the proportion of the corresponding sides and the known lengths.

Front

Solve for x: 5/x = 10/20

Back

x = 10