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Geometry 1: Intro to Geometry
Introduction to Geometry
Name ______________________________________
Period _______________ Date _________________
2e) Name an obtuse angles
G-CO.1: I can define and identify basic geometric terms.
1. Use the figure below. Assume that lines that look
parallel are parallel.
2d) Name an acute angle
a) Name a pair of
parallel lines
2f) Name a pair of vertical angles
3. In the figure MO bisects LMN ,
mLMO  (9 x  14) , and mNMO  ( x  74) .
b) Name a pair of perpendicular lines
Solve for x and find mLMN
2. Use the diagram below to answer the following
questions.
B
C
A
D
O
E
2a) Name a linear pair
4. In the figure ST bisects UX , If UW  8x  4 ,
and WX  2 x  20 . Solve for x and find UX
S
2b) Name two complementary angles
U
W
X
T
2c) Name two supplementary angles
2d) Give at least two pairs of adjacent angles
Geometry: Intro to Geometry Review
(May 30, 2013)
PUHSD Curriculum Team
5. Given mVUT = 175° and mVUJ = (17x - 3)° and
mJUT = (17x + 8)°. Find mVUJ and mJUT.
8. If x < 35, then what are the possible values of y?
y°
x°
9. Using the diagram below, find x and explain how
you would tell a fellow student to solve it.
mVUJ = _______
mJUT = _______
Solve:
6. Given mABC = (17x + 8)° and mABK = 42° and
mKBC = (12x – 4)°. Find mABC and mKBC.
(4x)°
x°
20°
Explain___________________________
__________________________________
__________________________________
mABC = _______
mKB = _______
10. Suppose that, in the diagram, FG is the
perpendicular bisector of both BD and AE. Is
7. If x > 100, then what are the possible values of y?
AB  DE ? Justify your answer.
F
B
x°
y°
A
Geometry 1: Intro to Geometry Review
(May 30, 2013)
E
●
A
●
G
E
PUHSD Geometry Curriculum Team
D
11. Use the figure below to answer the questions.
●
K
12. Excluding straight angles, name at least 7 angles in
the diagram below.
●
J
●
R
●
L
●V
●
T
●Z
●
M
●
N
●
U
●S
11a) Name at least 5 line segments
11b) Name at least 3 rays
11c) Name 3 collinear points
13. Write down as many facts as are observable from
the figure below. (Need at least 3)
11d) Name one line
11e) Write an example of the segment addition
postulate
Geometry 1: Intro to Geometry Review
(May 30, 2013)
PUHSD Geometry Curriculum Team
14. Part A: Draw a diagram that satisfies these three
conditions:
i. AEB  CED
ii. BEC is adjacent to CED
16. Draw acute angle ABC and then construct its
bisector. Label all your points.
iii. AEB  BEC
Part B: If 𝑚∠𝐴𝐸𝐵 = 30°, find
𝑚∠𝐵𝐸𝐶, 𝑚∠𝐶𝐸𝐷 𝑎𝑛𝑑 𝑚∠𝐴𝐸𝐷. Justify your
answers.
_________________________________
__________________________________
__________________________________
__________________________________
G-CO.12 I can make the following constructions:
copy a segment, copy an angle, perpendicular
bisector, angle bisector
17. Draw a right angle and then construct its bisector.
Label all your points. What are the measures of the
two smaller angles?
15. Construct the perpendicular bisector of RP
R
P
Geometry 1: Intro to Geometry Review
(May 30, 2013)
PUHSD Geometry Curriculum Team
18. Construct an angle that is equal to the sum of the
angles.
20. Use a straightedge and compass to construct a
segment that satisfies SN = 2(SU) and that all of the
points are collinear. Explain why U is the midpoint of
SN?
S
U
Explain:
_________________________________
__________________________________
__________________________________
__________________________________
19. Use a straightedge and a compass to double the
angle.
21. Use a straightedge and a compass to construct ST
a segment that is equal to the sum of the two segments
below.
E
F
G
I
Part B: Fill in the equation ST = ________ + _______
Part C: Write the equation that would give the length of
GI .
Geometry 1: Intro to Geometry Review
(May 30, 2013)
PUHSD Geometry Curriculum Team
22. The following coordinate plane is on a 1-mile grid.
Point C is Charles’ house, point B is Bill’s house
and Point A is their work. When Charles drives to
work it is not out of his way to pick up Bryan and
the entire drive is 10 miles. He is considering
buying a helicopter. If he flies from his house to
work, how far will it be? How much further will it
be if he stops at Bill’s house in the helicopter?
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
Answer: _____________
Geometry 1: Intro to Geometry Review
(May 30, 2013)
PUHSD Geometry Curriculum Team