Similar Figures

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

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of the lengths of their corresponding sides are equal.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

If a rectangle has a length of 30 inches and a width of 18 inches, what is the ratio of its length to its width?

Back

The ratio of the length to the width is 30:18, which simplifies to 5:3.

Front

How do you find the missing side of similar figures?

Back

To find the missing side of similar figures, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all three sides.

Front

How do you use a scale to find actual lengths from a blueprint?

Back

To find actual lengths from a blueprint, multiply the length on the blueprint by the scale factor.

Front

If a 5 ft tall woman casts an 8 ft shadow, what is the relationship between her height and the length of her shadow?

Back

The relationship is a proportional one, where the height of the woman and the length of her shadow maintain a constant ratio.

Front

What is the formula for finding the area of a rectangle?

Back

The area of a rectangle is found using the formula: Area = length × width.

Front

How do you calculate the scale factor from a blueprint?

Back

To calculate the scale factor, divide the actual length by the length on the blueprint.