Understanding Similar Figures

What is a key property of similar figures?

• They have the same size.

• They have congruent angles.

• They have different shapes.

• They have equal perimeters.

In similar triangles ABC and XYZ, which angle corresponds to angle A?

• Angle Y

• Angle Z

• Angle X

• Angle B

How do you determine the corresponding side to AB in similar triangles ABC and XYZ?

• XY

• XZ

• YZ

• BC

What is the first step in solving for a missing side using proportions?

• Subtract the smaller side from the larger side.

• Add all sides together.

• Multiply all angles.

• Identify corresponding sides.

In the example with triangles ABCD and MNO, what is the value of X if MO = 3 and AC = 12?

• 8.25

• 8.5

• 8.25

• 9.5

When setting up a proportion, why is it important to match corresponding sides?

• To ensure the shapes are identical.

• To maintain the ratio between the figures.

• To make the calculation easier.

• To avoid using angles.

In the nested boxes example, what is the scale factor if the width of the larger box is 13.5 cm and the smaller box is 9 cm?

• 2.0

• 1.8

• 1.5

• 1.2

How can you find the length of the smaller box using the scale factor?

• Subtract the scale factor from the width of the smaller box.

• Multiply the scale factor by the width of the larger box.

• Divide the length of the larger box by the scale factor.

• Add the scale factor to the length of the larger box.

What is the length of the smaller box if the scale factor is 1.5 and the length of the larger box is 24 cm?

• 20 cm

• 14 cm

• 16 cm

• 18 cm

Which method can be used to solve for a missing side in similar figures?

• Using a protractor

• Using proportions

• Using a ruler

• Using a calculator