Geometry: Areas of Similar Figures

What is the relationship between the areas of two similar polygons and their scale factor?

• The areas are proportional to the cube of the scale factor.

• The areas are proportional to the square of the scale factor.

• The areas are inversely proportional to the scale factor.

• The areas are equal to the scale factor.

If the scale factor between two similar figures is 3, what is the ratio of their areas?

• 1:3

• 1:6

• 1:9

• 1:12

How do you isolate the variable X when solving for the area of a larger shape?

• Add the scale factor to both sides.

• Multiply both sides by the scale factor.

• Subtract the scale factor from both sides.

• Cross multiply and divide.

When rounding decimals in calculations, to which place should you round for more accuracy?

• Tenths place

• Thousandths place

• Units place

• Hundredths place

What is the first step in finding the scale factor when given both areas of similar figures?

• Multiply the areas together.

• Divide the larger area by the smaller area.

• Take the square root of the ratio of the areas.

• Add the areas together.

If the scale factor is 1/2, what is the missing side length if the known side is 8?

• 4

• 8

• 32

• 16

How do you handle a situation where the scale factor calculation does not yield a whole number?

• Leave it as a fraction or decimal.

• Ignore the decimal and use the integer part.

• Round to the nearest whole number.

• Multiply by 10 to make it a whole number.

What is the scale factor if the area of the unshaded figure is 54 and the shaded figure is 216?

• 2

• 1

• 1/2

• 1/4

In the context of similar figures, what does the letter 'K' represent?

• The area of the smaller figure

• The perimeter of the figure

• The scale factor

• The area of the larger figure

What is the final step in solving for a missing side using the scale factor?

• Add the scale factor to the known side.

• Multiply the known side by the scale factor.

• Subtract the scale factor from the known side.

• Divide the known side by the scale factor.