Proportionality and Similar Shapes

Trapezoid FGHI is similar to trapezoid KLMN. What is the length of GH?

• 8.5 in

• 7 in

• 6.75 in

• 5.5 in

The rectangle below is dilated by a scale factor of 3.6 to create a new rectangle. Which of the following could be the dimensions of the new rectangle?

• 14.4 cm x 5.4 cm

• 5.4 cm x 7.2 cm

• 7.2 cm x 1.8 cm

• 14.4 cm x 7.2 cm

Two boxes of tissues are similar in shape and size. The larger tissue box is dilated by a scale factor of 0.5 to create the smaller tissue box. What are the measurements of the smaller tissue box?

• y = 6 in, z = 3.5 in

• x = 3.25 in, y = 6 in

• x = 3.5 in, y = 6 in

• y = 6 in, z = 2.75 in

Micah made a scale model of the Empire State Building. The building has an actual height of 381 meters. Micah’s model used a scale in which 1 cm represents 50 meters. What is the height in centimeters of Micah’s model?

• 3.2 cm

• 19.05 cm

• 36.83 cm

• 7.62 cm

The triangles shown below are similar. Which line segment corresponds to RS?

• RT

• TS

• QS

• UT

• A
• B
• C
• D

• F
• G
• H
• J

• F
• G
• H
• J

• A
• B
• C
• D

• F
• G
• H
• J