Exploring Similar Polygons

What does it mean if two segments are congruent?

• They have the same angle.

• They are perpendicular.

• They have the same length.

• They are parallel.

What is the definition of similar polygons?

• Polygons with the same shape but not necessarily the same size.

• Polygons with the same size and shape.

• Polygons with the same angles but different side lengths.

• Polygons with the same side lengths but different angles.

Which of the following pairs of angles are congruent in similar polygons?

• Angle D and Angle H

• Angle A and Angle B

• Angle G and Angle J

• Angle E and Angle F

What is the scale factor in similar polygons?

• The product of the lengths of corresponding sides.

• The sum of the lengths of corresponding sides.

• The difference in the lengths of corresponding sides.

• The ratio of the lengths of corresponding sides.

What is the ratio of KL to XY if KL is 10 and XY is 15?

• 4/5

• 1/2

• 2/3

• 3/4

How do you determine if two trapezoids are similar?

• By comparing the lengths of their diagonals.

• By comparing their areas.

• By comparing their perimeters.

• By comparing the ratios of corresponding sides.

What are the dimensions of the largest complete poster that will fit in a space 3 feet high by 4 feet wide?

• 18 inches by 24 inches

• 28.8 inches by 48 inches

• 30 inches by 40 inches

• 36 inches by 48 inches

If the ratio of EF to AB is 6 to 9, what is the value of y when 9y equals 30?

• 3.33

• 3

• 2

• 4

How do you find the actual height of a tower using a scale drawing?

• By measuring the drawing and multiplying by the scale factor.

• By adding the scale factor to the drawing measurement.

• By measuring the drawing and dividing by the scale factor.

• By subtracting the scale factor from the drawing measurement.

Which triangles are similar if triangle ABS is similar to triangle PRS?

• Triangle ABS and triangle RSP

• Triangle BSA and triangle SPR

• Triangle BSA and triangle PRS

• Triangle BSA and triangle RSP