GEO #3 Similarity

Front

What are similar figures?

Back

Figures that have the same shape but may differ in size.

Front

What does it mean for two figures to be similar?

Back

Their corresponding angles are equal and their corresponding sides are proportional.

Front

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

Back

The corresponding angles are congruent.

Front

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

Back

The lengths of their corresponding sides are in proportion.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

How do you find a missing side in similar figures?

Back

Use the proportion of corresponding sides to set up a ratio and solve for the missing side.

Front

What is the scale factor in similar figures?

Back

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

Front

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

Back

For every 2 units in the first triangle, there are 3 units in the second triangle.

Front

Which of the following is NOT true about similar figures? A) Similar figures always have the same shape. B) Similar figures always have the same size. C) Similar figures always have corresponding angles that are equal. D) Similar figures always have corresponding sides that are proportional.

Back

B) Similar figures always have the same size.

Front

Find the missing side using proportions: If one triangle has sides 10 and 15, and the other has a side of 20, what is the missing side?

Back

30 (using the proportion 10/20 = 15/x).