Regents Exam Questions G.CO.D.12: Constructions 2 Name: ________________________
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G.CO.D.12: Constructions 2
1 One step in a construction uses the endpoints of
AB
to create arcs with the same radii. The arcs
intersect above and below the segment. What is
the relationship of
AB
and the line connecting the
points of intersection of these arcs?
1) collinear
2) congruent
3) parallel
4) perpendicular
2 Line segment AB is shown in the diagram below.
Which two sets of construction marks, labeled I, II,
III, and IV, are part of the construction of the
perpendicular bisector of line segment AB?
1) I and II
2) I and III
3) II and III
4) II and IV
3 In the construction shown below,
CD
is drawn.
In
ABC
,
CD
is the
1) perpendicular bisector of side
AB
2) median to side
AB
3) altitude to side
AB
4) bisector of
∠
ACB
Regents Exam Questions G.CO.D.12: Constructions 2 Name: ________________________
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2
4 The diagram below shows the construction of the
perpendicular bisector of
AB.
Which statement is not true?
1)
A
C
=
C
B
2)
CB =
1
2
AB
3)
A
C
2
A
B
4)
A
C
+
C
B
=
A
B
5 Based on the construction below, which conclusion
is not always true?
1)
AB ⊥ CD
2)
A
B
=
C
D
3)
A
E
=
E
B
4)
C
E
=
D
E
6 Which diagram shows the construction of the
perpendicular bisector of
AB
?
1)
2)
3)
4)
Regents Exam Questions G.CO.D.12: Constructions 2 Name: ________________________
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3
7 Using a compass and straightedge, locate the
midpoint of
AB
by construction. [Leave all
construction marks.]
8 Using a compass and straightedge, construct the
perpendicular bisector of
AB
. [Leave all
construction marks.]
9 Using only a compass and a straightedge, construct
the perpendicular bisector of
AB
and label it c.
[Leave all construction marks.]
10 Using a compass and straightedge, construct the
perpendicular bisector of
AB
shown below. Show
all construction marks.
11 Use a compass and straightedge to divide line
segment AB below into four congruent parts.
[Leave all construction marks.]
12 On the diagram of
ABC
shown below, use a
compass and straightedge to construct the
perpendicular bisector of
AC
. [Leave all
construction marks.]
Regents Exam Questions G.CO.D.12: Constructions 2 Name: ________________________
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13 Using a compass and straightedge, construct the
perpendicular bisector of side
AR
in
ART
shown
below. [Leave all construction marks.]
14 Triangle XYZ is shown below. Using a compass
and straightedge, construct the circumcenter of
XYZ
.
15 In the diagram of
ABC
shown below, use a
compass and straightedge to construct the median
to
AB
. [Leave all construction marks.]
16 On the accompanying diagram of
ABC
, use a
compass and a straightedge to construct a median
from A to
BC
.
Regents Exam Questions G.CO.D.12: Constructions 2 Name: ________________________
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5
17 Using a compass and straightedge, construct the
median to side
AC
in
ABC
below. [Leave all
construction marks.]
18 Using a compass and straightedge, construct a
midsegment of
AHL
below. [Leave all
construction marks.]
19 Using a compass and straightedge, construct the
line of reflection over which triangle RST reflects
onto triangle R’S’T’. [Leave all construction
marks.]
ID: A
1
G.CO.D.12: Constructions 2
Answer Section
1 ANS: 4 REF: 081005ge
2 ANS: 2 REF: 061101ge
3 ANS: 2 REF: 011628ge
4 ANS: 3 REF: fall0804ge
5 ANS: 2 REF: 061305ge
6 ANS: 1 REF: 011120ge
7 ANS:
REF: 061532ge
8 ANS:
REF: 011430ge
ID: A
2
9 ANS:
REF: 060435a
10 ANS:
REF: 060734a
11 ANS:
REF: 081437ge
ID: A
3
12 ANS:
REF: 081130ge
13 ANS:
REF: 011530ge
14 ANS:
REF: spr2406geo
ID: A
4
15 ANS:
REF: 081628geo
16 ANS:
REF: 060325a
17 ANS:
REF: 061829geo
18 ANS:
REF: 082329geo
ID: A
5
19 ANS:
REF: 011725geo