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Name_________________________________________Date_______________
Geometry
Unit 1 Review
Directions: Write the answers in the spaces provided. Show all work.
Use the figure at right for Exercises 1-3.
1.
What is another name for plane Z ?
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2.
Name two opposite rays in the diagram.
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3.
Where would the plane STL intersect plane Z ?
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Use the figure below for Exercises 4–6. Name each of the following.
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4.
Name two points that are four units from K.
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5.
Name a segment congruent to GJ.
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6.
Name the coordinate of the midpoint of NH.
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Use the figure at the right for Exercises 7–10.
7.
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Name a pair of vertical angles.
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8.
Name a pair of adjacent angles with vertex M.
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9.
Name a pair of adjacent angles with vertex S.
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10.
Name a linear pair.
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Use the segment below for Exercises 11–12.
11.
Construct a segment that is congruent to AB.
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12.
Construct a perpendicular bisector of AB.
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Unit 1 Review
Directions: Write the answers in the spaces provided.
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13.
QR has endpoints Q(9, −2) and R(3, 5). What are the coordinates of its
midpoint X?
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14.
GI bisects ∠DGH so that m∠DGI = ( x − 3)° and m∠IGH = (2x −13)°
What is the value of x?
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30º
65º
For Questions 15-18, use the diagram at right.
115º
40º
75º
15.
Is ∠ABC acute, obtuse or neither?
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16.
If m∠DCB = 110°,what is m∠DCA ?
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17.
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How many angles have their vertices at D?
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18.
Compare the measures of the following angles: (<, >, =)
m∠DAE ____?___ m∠BEC.
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For Questions 19-20, use the diagram at right.
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What is the perimeter of the polygon?
Round to the nearest tenth.
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20.
What is the area of the polygon?
Round to the nearest tenth.
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21.
What is the circumference of a circle with the
radius of 17 inches? Leave answer in terms of π.
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22.
What is the area of a circle with the diameter of 8 cm?
Leave answer in terms of π.
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⎛ x + x 2 y1 + y 2 ⎞
Midpoint Formula: M = ⎜ 1
,
⎟
⎝ 2
2 ⎠
Circumference: C = πd
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Distance: d =
Area of Circle: A = πr 2
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2
( x 2 − x1) + ( y 2 − y1)
2
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Unit 1 Review Answers
plane LTV (or any three non-collinear points)
TL and TX
XL
G and O
HK (or any segment with measure of 3 units)
−3
∠LSM and ∠OSN or
∠LSO and ∠MSN
∠LMS and ∠SMN
∠LSM and ∠MSN
or ∠NSO and ∠OSL
∠OSN and ∠NSM
construction with a straight edge and a compass
construction with a straight edge and a compass
⎛ 3 ⎞
⎜6, ⎟
⎝ 2 ⎠
x = 10
acute
35°
3
=
21.2
28 units2
34 π inches
16 π cm2