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Geometry
Lessons 7-1/7-5 WS
Name_______________________________
Choose 2 of the following. Write the ratio of the first measurement to the second
measurement. Make sure your ratios are written in lowest terms!
1. Length of a tennis racket: 2 ft. 4 in.
Length of a table tennis paddle: 10 in.
2. Diameter of a table tennis ball: 40 mm
Diameter of a tennis ball: 6.8 cm
3. Length of a tennis court: 26 yd.
Length of a table tennis table: 9 ft.
Choose 2 of the following. Write and solve an equation. Then answer the question.
4. The measures of two supplementary angles are in the ratio 5:7. What is the measure of the
larger angle?
5. The lengths of the sides of a triangle are in the extended ratio 6:7:9. The perimeter of the
triangle is 88 cm. What are the lengths of the sides:
6. The measures of the angles of a triangle are in the extended ratio 4:3:2. What is the measure
of the largest angle?
Choose 2 of the following. Solve the proportion.
7.
1
2

7y 5 9y
8.
5
3

x  2 x 1
Use the Side-Splitter Theorem or its Corollary to solve for x.
10.
11.
9.
2b  1 b  2

4
12
Use the Triangle-Angle-Bisector Theorem to solve for x.
12.
13.
In Washington D.C., E. Capitol Street, Independence Avenue, D Street, and D Street are
parallel streets that intersect Kentucky Avenue and 12th Street.
14. How long (to the nearest foot) is Kentucky Avenue
between C Street and D Street?
15. How long (to the nearest foot) is Kentucky Avenue
between E. Capitol Street and Independence Avenue?
Solve for x.
16.
17.
Use the Side-Splitter Theorem to determine if the segments are parallel.
18.
19.
20.