Similar Figures & Scale Drawings

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 corresponding sides are proportional.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or structure that is proportional to its actual size. It uses a specific ratio to show the relationship between the drawing's dimensions and the real object's dimensions.

Front

How do you find the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

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

Back

This means that for every 2 units in the first triangle, there are 3 units in the second triangle. The second triangle is larger.

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor. If the scale factor is a:b, then the ratio of their areas is a²:b².

Front

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

Back

The dimensions of the similar rectangle would be 12 inches (length) and 6 inches (width).

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the scale factor of the figures.

Front

If two similar figures have a scale factor of 1:4, how does this affect their perimeters?

Back

The perimeter of the larger figure will be four times the perimeter of the smaller figure.

Front

What is a proportional relationship in the context of similar figures?

Back

A proportional relationship means that as one quantity changes, another quantity changes at a constant rate, maintaining the same ratio.

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.