Scale Factor and Similar Figures

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If a map has a scale of 1 cm = 5 km, how do you find the actual distance between two points on the map?

Back

Multiply the distance on the map by the scale factor. For example, if two cities are 3 cm apart, the actual distance is 3 cm * 5 km/cm = 15 km.

Front

What are corresponding sides in similar figures?

Back

Corresponding sides are sides that are in the same position in different similar shapes.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal.

Front

How do you determine the measure of an unknown angle in similar figures?

Back

Use the property that corresponding angles are equal to find the measure of the unknown angle.

Front

What is the formula to calculate the scale factor between two similar figures?

Back

Scale Factor = Length of a side in the new figure / Length of the corresponding side in the original figure.

Front

If two similar triangles have a scale factor of 4, what does this mean for their areas?

Back

The area of the larger triangle is 4^2 = 16 times the area of the smaller triangle.

Front

What is a practical application of scale factors in real life?

Back

Scale factors are used in maps, models, and blueprints to represent larger objects or distances in a smaller, manageable size.

Front

If a rectangle has a length of 8 cm and a width of 4 cm, what are the dimensions of a similar rectangle with a scale factor of 2?

Back

The dimensions would be 16 cm (length) and 8 cm (width).

Front

What does it mean if two figures are similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal while their corresponding sides are proportional.