Proportionality and Similar Shapes (7th TEKS)

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

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

• F. the ratio of the circumference of the circle to π
• G. exactly 3.14
• H. the ratio of the diameter of a circle to π
• J. the square of the circumference of a circle

3. 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?

• A. 3.2 cm
• B. 19.05 cm
• C. 36.83 cm
• D. 7.62 cm

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

• F. 9 in
• G. 27 in
• H. 20 in
• J. 11 in

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

• A. RT
• B. TS
• C. QS
• D. UT

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

• F. 8.5 in
• G. 7 in
• H. 6.75 in
• J. 5.5 in

7. 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?

• A. 14.4 cm x 5.4 cm
• B. 5.4 cm x 7.2 cm
• C. 7.2 cm x 1.8 cm
• D. 14.4 cm x 7.2 cm

8. 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?

• F. y = 6 in, z = 3.5 in
• G. x = 3.25 in, y = 6 in
• H. x = 3.5 in, y = 6 in
• J. y = 6 in, z = 2.75 in

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

• A. the ratio of the circumference of a circle to its diameter
• B. approximated to be 3.14
• C. approximated to be 22/7
• D. the ratio of the radius of a circle to its circumference

10. A map uses the scale of 3/4 of an inch to represent 3 miles. If the actual distance between two cities is 25 miles, then what is the length on the map? Report your answer to the hundredths place.