Properties of Similar Figures Test

Front

What are similar figures?

Back

Figures that have the same shape but not necessarily the same size.

Front

What does it mean for two figures to be similar?

Back

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

Front

How do you determine if two figures are similar?

Back

Check if the ratios of the lengths of corresponding sides are equal.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

6, 8, and 10.

Front

What is a scale factor?

Back

A number that scales, or multiplies, some quantity.

Front

If the original figure is 10 units and the scale factor is 1/2, what is the size of the scaled figure?

Back

5 units.

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 side lengths.

Front

If two similar figures have a scale factor of 3:1, what is the ratio of their areas?

Back

9:1.

Front

What is the formula to find the missing side in similar triangles?

Back

(Side of Triangle 1) / (Side of Triangle 2) = (Missing Side of Triangle 1) / (Missing Side of Triangle 2).

Front

If a model is built at a scale of 1:100, how would you find the real-life size of an object that is 2 cm in the model?

Back

Multiply the model size by the scale factor: 2 cm * 100 = 200 cm.