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Worksheet
1. Triangle EFG is similar to [pic]HJI.
[pic]
If e = 13 cm, f = 14.5 cm, g = 10 cm, and h = 26 cm, what is the measure of j?
|[pi|A. |23.3 cm |
|c] | | |
|[pi|B. |33.8 cm |
|c] | | |
|[pi|C. |29 cm |
|c] | | |
|[pi|D. |20 cm |
|c] | | |
2. In the figure below, [pic]STU is congruent to [pic]VWU.
[pic]
Note: picture not drawn to scale.
If m[pic]UWV = 41° and m[pic]WUV = 118°, what is the measure of [pic]UST?
|[pi|A. |21° |
|c] | | |
|[pi|B. |69° |
|c] | | |
|[pi|C. |24° |
|c] | | |
|[pi|D. |49° |
|c] | | |
3. In the triangles below, [pic]x [pic][pic]y, e = f = 11 inches, and h = i = 13.75 inches.
[pic]
If g = 15.4 inches, what is the measure of j?
|[pi|A. |19.25 in |
|c] | | |
|[pi|B. |15.4 in |
|c] | | |
|[pi|C. |12.32 in |
|c] | | |
|[pi|D. |15.785 in |
|c] | | |
4. Triangle VZX is similar to [pic]RPQ where ZX corresponds to PQ.
[pic]
If VZ = 6 cm, ZX = 4.8 cm, VX = 8.4 cm, and PQ = 3.84 cm, what is the measure of RQ?
|[pi|A. |7.5 cm |
|c] | | |
|[pi|B. |6.72 cm |
|c] | | |
|[pi|C. |3.072 cm |
|c] | | |
|[pi|D. |4.8 cm |
|c] | | |
5. A 36-inch tall boy is standing next to a 40-foot tall building. The boy casts a shadow that is 24 inches long. What is the length of the building's shadow?
|[pi|A. |[pic] |
|c] | | |
|[pi|B. |[pic] |
|c] | | |
|[pi|C. |[pic] |
|c] | | |
|[pi|D. |[pic] |
|c] | | |
6. Triangle PRQ is similar to [pic]MON.
[pic]
If r = 7.5 cm, q = 9 cm, p = 10 cm, and o = 4.5 cm, what is the measure of n?
|[pi|A. |6 cm |
|c] | | |
|[pi|B. |3.75 cm |
|c] | | |
|[pi|C. |5.4 cm |
|c] | | |
|[pi|D. |5 cm |
|c] | | |
7. Triangle FGH is similar to [pic]JKM.
[pic]
If f = 14.4 cm, g = 16.56 cm, h = 25.92 cm, and k = 9.2 cm, what is the measure of m?
|[pi|A. |14.4 cm |
|c] | | |
|[pi|B. |5.104 cm |
|c] | | |
|[pi|C. |10.58 cm |
|c] | | |
|[pi|D. |8 cm |
|c] | | |
8. Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length. If Wally, who is 71 inches tall, casts a shadow that is 41 inches in length, what is the height of the statue?
|[pi|A. |308 inches |
|c] | | |
|[pi|B. |95 inches |
|c] | | |
|[pi|C. |260 inches |
|c] | | |
|[pi|D. |284 inches |
|c] | | |
9. Cassie wants to determine the length of the shadow that a 40-foot tall telephone pole casts without measuring it. If Cassie's mailbox, which is 42 inches in height, casts a shadow that is 21 inches in length, how long is the shadow that the telephone pole casts?
|[pi|A. |25 feet |
|c] | | |
|[pi|B. |27 feet |
|c] | | |
|[pi|C. |20 feet |
|c] | | |
|[pi|D. |30 feet |
|c] | | |
10. In the triangles below, [pic]x [pic][pic]y, e = f = 9 inches, and h = i = 11.25 inches.
[pic]
If g = 12.6 inches, what is the measure of j?
|[pi|A. |15.75 in |
|c] | | |
|[pi|B. |12.915 in |
|c] | | |
|[pi|C. |12.6 in |
|c] | | |
|[pi|D. |10.08 in |
|c] | | |
Answers
1. C
2. A
3. A
4. B
5. D
6. C
7. A
8. D
9. C
10. A
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