Similar Figures Classwork

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 side lengths are equal.

Front

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

Back

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

Front

How do you find the missing side of similar figures?

Back

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

Front

If triangle A has sides of 4, 6, and 8, and triangle B has a side of 12, what is the length of the corresponding side in triangle B?

Back

The corresponding side in triangle B is 18.

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 between two similar figures is 3:2, what does this mean?

Back

This means that for every 3 units in one figure, there are 2 units in the other figure.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

If a rectangle has a length of 10 and a width of 5, what are the dimensions of a similar rectangle with a scale factor of 2?

Back

The dimensions of the similar rectangle would be 20 (length) and 10 (width).

Front

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

Back

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