Similar Figures: Finding Missing Sides and Angles

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 corresponding sides are proportional.

Front

How do you find the missing side of similar figures?

Back

To find the missing side of similar figures, set up a proportion using the lengths of corresponding sides from the two figures.

Front

What is the formula for finding the ratio of corresponding sides in similar figures?

Back

The ratio of corresponding sides in similar figures is given by the formula: \( \frac{a}{b} = \frac{c}{d} \), where a and b are sides of one figure, and c and d are sides of the other.

Front

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

Back

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

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are in proportion.

Front

How do you solve for a missing angle in similar triangles?

Back

To solve for a missing angle in similar triangles, use the fact that the sum of angles in a triangle is 180 degrees and that corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, and angle A = 30°, what is angle D?

Back

Angle D = 30° because corresponding angles in similar triangles are equal.

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 one figure, there are 3 units in the other figure.

Front

How do you find the length of a side in a similar figure if you know the scale factor?

Back

Multiply the length of the corresponding side in the smaller figure by the scale factor to find the length in the larger figure.