Similar Figures and Scale Factor!

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 their corresponding sides are proportional.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similar figures, it is the ratio of the lengths of corresponding sides.

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 the scale factor from figure X to figure Y is 2, what does this mean?

Back

This means that each side of figure Y is twice as long as the corresponding side of figure X.

Front

What is the scale factor if a triangle's side length increases from 3 cm to 6 cm?

Back

The scale factor is 2, since 6 cm is twice 3 cm.

Front

If two triangles have side lengths of 4 cm and 8 cm, are they similar?

Back

Yes, they are similar because the side lengths are proportional (4:8 = 1:2).

Front

What is the actual distance if the scale is 1 cm = 5 km and two cities are 10 cm apart on the map?

Back

The actual distance is 50 km (10 cm x 5 km/cm).

Front

If a rectangle has a length of 4 cm and a width of 2 cm, what are the dimensions of a similar rectangle with a scale factor of 3?

Back

The dimensions would be 12 cm (length) and 6 cm (width).

Front

What does it mean for side lengths to be proportional?

Back

Side lengths are proportional if the ratios of the lengths of corresponding sides are equal.

Front

If triangle A has sides of 3 cm, 4 cm, and 5 cm, and triangle B has sides of 6 cm, 8 cm, and 10 cm, are they similar?

Back

Yes, triangle A and triangle B are similar because their corresponding sides are proportional (3:6, 4:8, 5:10).