Geometry
Name___________________________________ ID: 1
Assignment
Date________________ Period____
Construct a copy of the angle given.
1)
Construct the bisector of the angle.
2)
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Construct an angle whose measure is twice that of the angle given.
3)
Construct an angle whose measure is equal to the difference of the measures of the angles
given.
4)
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Construct a line segment congruent to each given line segment.
5)
Construct a line segment whose length is equal to the sum of the lengths of the given line
segments.
6)
Construct a line segment whose length is equal to the difference of the lengths of the given line
segments.
7)
Construct a line segment the given number of times longer than the given segment.
8)
3 times as long
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Construct the perpendicular bisector of the segment.
9)
Locate the midpoint of the segment.
10)
Find the midpoint of the line segment with the given endpoints.
11) (−2, 4), (5, −5)
12) (−9, −10), (4, 3)
13) (−5, 10), (−7, 8)
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Draw an angle with the given measurement.
14) 145°
15) 60°
Find the measure of each angle to the nearest degree.
16)
17)
18)
Name the angle in four ways.
19)
I
J
1
20) Find m EFQ if m EFG = 146°
and m QFG = 81°.
Q
H
G
E
F
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21) Find m AGH if m FGA = 32°
and m FGH = 160°.
A
F
G
H
Draw and label an angle to fit each description. If necessary, make sure that it is marked
correctly.
22) a straight angle, ABC
23) an acute angle, 7
24) an obtuse angle, HIJ
25) a right angle, TUV
26) an acute angle, 1
Construct a copy of the triangle given.
27)
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Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
28) AD = 2x + 294, BC = 8x + 632,
BD = 136, and AC = 648 + 8x. Find BC.
29) Find BD if BC = 8x + 588,
AD = 3x + 384, BD = 7x + 608,
and AC = 88.
Locate the incenter of the triangle by constructing at least two angle bisectors and finding their
intersection point.
30)
Locate the circumcenter of the triangle by construcing at least two perpendicular bisectors and
finding their intersection point. Use this point at the center of a circle that intersects the vertices
of the triangle.
31)
State the quadrant or axis that each point lies in.
32) (5, −2)
33) (−4, −2)
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34) (−5, −1)
35) (3, −1)
Plot each point.
36) W (9, −3)
T (−5, −9)
V (−8, −10)
S (−4, 1)
U (−8, 9)
y
10
8
6
4
2
−10
−8
−6
−4
−2
2
4
6
8
10 x
−2
−4
−6
−8
−10
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Answers to Assignment (ID: 1)
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
(
1 1
11) 1 , −
2 2
)
15)
19)
22)
(
1
1
12) −2 , −3
2
2
)
16) 20°
I, 1, JIH, HIJ
23)
A
20) 65°
3 times as long
13) (−6, 9)
14)
17) 90°
18) 110°
21) 128°
24)
J
7
25)
I
B
H
V
U
T
C
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26)
27)
28) 64
1
29) 125
30)
31)
34) III
32) IV
35) IV
33) III
36)
y
U
10
8
6
4
S
2
−10 −8 −6 −4 −2
2
4
6
8
10 x
−2
−4
W
−6
−8
V
T
−10
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