Finding Missing Lengths in Similar Figures

What does it mean when figures are described as similar in geometry?

• They are congruent.

• They can be resized to match each other exactly.

• They have the same angles but different side lengths.

• They have the same color and texture.

What is a scale factor in the context of similar figures?

• A number that adds to each side to increase its length.

• A number that divides each side to reduce its size.

• A constant that determines the color of the figure.

• A number used to multiply the sides of a figure to scale it up or down.

How do you calculate the scale factor from two corresponding sides of similar figures?

• Subtract the smaller side from the larger side.

• Add the lengths of both sides.

• Multiply the lengths of the corresponding sides.

• Divide the length of a side from one figure by the corresponding side of the other figure.

If the scale factor is 1.2, what is the length of a side in the larger figure if the corresponding side in the smaller figure is 10 meters?

• 10.2 meters

• 12 meters

• 15 meters

• 8 meters

Using a scale factor of 1.2, what would be the length of a side marked 'x' if the corresponding side in the smaller figure is 8 meters?

• 7.5 meters

• 10 meters

• 9.6 meters

• 8.5 meters

What is the process to find an unknown side length in a similar figure using a scale factor?

• None of the above.

• Multiply the known side length by the scale factor.

• Divide the known side length by the scale factor.

• Subtract the scale factor from the known side length.

If two rectangles are similar and one side of the smaller rectangle is 8 meters, what is the corresponding side length in the larger rectangle with a scale factor of 1.2?

• 10 meters

• 7.5 meters

• 6.8 meters

• 9.6 meters