Chapter 4 Geometry Test Review

My dog, Stella, is playing in the park and sees a tree 100 m away.  Since she is the dog of a mathematics teacher, she knows how to calculate the angle of elevation to the top of the tree and finds it to be about 25°.  About how tall is the tree?

• 32 m
• 47 m
• 15 m
• 42 m

Tags

CCSS.HSG.SRT.C.8

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Tags

CCSS.HSG.CO.A.2

Which similarity theorem, if any, proves that these triangles are similar?
(Hint: Look for non-labeled parts!)

• SSS
• SAS
• AA
• None, the triangles are not similar

Tags

CCSS.HSG.SRT.B.5

Which series of transformations could be used to show ΔABE is similar to ΔDCE?

• Reflection over BC and a dilation of ¹/₂ about point E
• Reflection over AD and a dilation of ¹/₂ about point E
• Rotation 90^o about point E and a dilation of ¹/₂ about point E
• Rotation 180^o about point E and

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Find the value of x.

• x = 4.5
• x = 9
• x = 30
• x = 3

Tags

CCSS.HSG.SRT.B.4

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

Tags

CCSS.8.G.B.8

Find the distance between (-5, -8) and (-1, -16).

• 8.9
• 9.8
• 10.3
• 11

Tags

CCSS.HSG.GPE.B.7

40% of students in a school wore blue on a Spirit Day. If two students are randomly selected, what is most likely the probability that both students will not be wearing blue?

• 16%
• 36%
• 40%
• 60%

• 17.5%
• 10%
• 12.5%
• 25%

Find the Area.

• 91 ft²
• 77 ft²
• 78 ft²
• 105 ft²

Tags

CCSS.6.G.A.1