Proportionality and Similar Shapes Quick Check

Figure ABCD is similar to figure WXYZ. Which proportion must be true for these figures?

• $\frac{AB}{BC}=\frac{ZW}{WZ}$

• $\frac{BD}{DC}=\frac{ZY}{XY}$

• $\frac{AB}{DC}=\frac{WX}{ZY}$

• $\frac{DA}{ZY}=\frac{CD}{XY}$

Which of these best describes d, the diameter of a circle?

• the ratio of the circumference of the circle to π

• exactly 3.14

• the ratio of the diameter of a circle to π

• the square of the circumference of a circle

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

• 19.05

• 36.83

• 7.62

Triangle JKL is similar to triangle MNO. What is the perimeter of triangle MNO?

• 9 in

• 27 in

• 20 in

• 11 in

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

• RT

• TS

• OS

• UT

Trapezoid FGHI is similar to trapezoid KLMN. What

is the length of GH?

• 8.5 in

• 7in

• 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

Which of the following is not a true statement about pi?

• the ratio of the circumference of a circle to its

  diameter

• approximated to be 3.14

• approximated to be 22/7

• the ratio of the radius of a circle to its circumference

A map uses the scale of an inch represents 3 miles. If the actual distance between two cities is 25 miles, then what is the length on the map?