Similar Figures and Scale Drawings Review

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit on paper, using a specific ratio to maintain the correct dimensions.

Front

What does the term 'scale factor' mean?

Back

The scale factor is the ratio of the dimensions of a scale drawing to the actual dimensions of the object. It indicates how much larger or smaller the drawing is compared to the real object.

Front

If a scale drawing uses a scale of 1 cm = 2 m, how wide should a 10 m object be drawn?

Back

5 cm (because 10 m ÷ 2 m/cm = 5 cm).

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 in proportion.

Front

How do you find the perimeter of a similar figure when the scale factor is known?

Back

Multiply the perimeter of the original figure by the scale factor to find the perimeter of the similar figure.

Front

If a rectangle has dimensions of 4 cm by 6 cm, what are the dimensions of a similar rectangle with a scale factor of 3?

Back

12 cm by 18 cm (4 cm × 3 = 12 cm and 6 cm × 3 = 18 cm).

Front

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

Back

The ratio of their areas is equal to the square of the scale factor. If the scale factor is k, then the area ratio is k².

Front

If two similar triangles have a scale factor of 2, how does this affect their areas?

Back

The area of the larger triangle is 4 times the area of the smaller triangle (since 2² = 4).

Front

What is the formula to calculate the area of a rectangle?

Back

Area = length × width.

Front

If a blueprint has a scale of 1 cm = 5 m, how would you represent a 15 m wall on the blueprint?

Back

3 cm (because 15 m ÷ 5 m/cm = 3 cm).