Download 1. Determine if these two ratios form a proportion: 5/7, 15/23 2

Geometry, Unit 8: Review_teacher, page 1
1. Determine if these two ratios form a
proportion: 5/7, 15/23
2. Determine if these two ratios form a
proportion: 20/9, 60/27
3. Determine if these polygons are
similar.
4. Determine if these two triangles are
similar.
5. Describe three ways of determining if triangles are similar.
(1)
(2)
(3)
AA- If two angles of one triangle are equal to two
angles of another triangle.
SAS- if a pair of corresponding sides are
proportional and the angles between them are equal.
SSS- If all three pairs of corresponding sides are
proportional.
6. Find x.
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Geometry, Unit 8: Review_teacher, page 2
7. Dilate triangle ABC so as to produce triangle A’B’C’. The point of dilation is T
and the scale factor is 3.
8. A 32 ft tree is 63 ft from the base of a building. A point on the ground another
21 ft beyond the tree is in perfect alignment with the top of the tree and the top
of the building. How tall is the building?
9. A 5’ 6’’ woman gazes down at a mirror lying on the ground 10 ft away from her
and sees the reflection of the top of a tree whose base is 30 ft on the other side of
the mirror. How tall is the tree?
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Geometry, Unit 8: Review_teacher, page 3
10. Cities A, B, and C form a triangle on a map. On the map the distance from A to
B is 3.5” and the distance from A to C is 6”. The actual distance from A to C is 620
miles. What is the actual distance in miles from A to B?
11. At 10:00 AM in the morning a 6’ man’s shadow is 3.2’ long while a nearby flag
pole’s shadow is 11.5’ long. How tall is the flag pole?
12. Find x.
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13. If AD = 18, determine if AB || EC.
Geometry, Unit 8: Review_teacher, page 4
14. Find x.
16. Find x if PQ = 24.
17. Find x and y.
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15. Find x.
Geometry, Unit 8: Review_teacher, page 5
18. Triangle A’B’C’ is a dilation of triangle ABC using T as the point of dilation.
What is the scale factor?
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