Similar Figures and 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 their corresponding sides are proportional.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or a place that is proportionally smaller or larger than the actual size, using a specific ratio to maintain the same shape.

Front

If two figures are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar figures are equal.

Front

If the scale factor of two similar figures is 3:1, what does this mean?

Back

This means that for every 3 units in the larger figure, there is 1 unit in the smaller figure.

Front

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

Back

To find the scale factor, divide the length of a side of the larger figure by the length of the corresponding side of the smaller figure.

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.

Front

If a triangle has sides of lengths 4 cm, 6 cm, and 8 cm, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

The lengths of the sides of the similar triangle would be 8 cm, 12 cm, and 16 cm.

Front

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

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what is the area?

Back

The area of the rectangle is 50 cm² (Area = length * width = 10 cm * 5 cm).

Front

What is the importance of using scale drawings in real life?

Back

Scale drawings are important in architecture, engineering, and design as they allow for accurate representations of large objects or spaces in a manageable size.