WorksheetsAngle Bisector and Perpendicular Segment Bisector Constructions
Total questions: 38
Worksheet time: 2hrs 59mins
Name
Class
Date
1.
The given diagram is what kind of construction?
a)
Perpendicular bisector
b)
Congruent angles
c)
Angle bisector
d)
Congruent line segments
2.
What is being constructed in the figure?
a)
the perpendicular bisector of line m
b)
the line perpendicular to line m through a point on the line
c)
the line parallel to line m through a point NOT on the line
d)
an angle that has line m as its bisector
3.
What was duplicated?
a)
line
b)
line segment
c)
ray
d)
angle
4.
What type of construction do you see?
a)
midpoint
b)
angle bisector
c)
perpendicular bisector
d)
altitude
5.
Which of the following constructions is illustrated?
a)
An angle is congruent to a given angle
b)
The bisector of a given angle
c)
The bisector of a given segment
d)
The perpendicular bisector of a given segment.
6.
Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4
7.
What must be true?
a)
1
b)
2
c)
3
d)
4
8.
Select the best answer choice.
a)
A
b)
B
c)
C
d)
D
9.
What is this construction?
a)
Perpendicular Bisector
b)
Perpendicular Through Point Not On Line
c)
Parallel Line Though Given Point
d)
Perpendicular Line Through Point On Line
10.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Angle median
d)
Perpendicular bisector of a line segment
11.
This construction forms a __________.
a)
Perpendicular Bisector
b)
Perpendicular Line
c)
A lowercase "t" flipped to the side
d)
Line Segment
12.
The picture represents a compass and straightedge construction of _________?
a)
Copy an angle
b)
Bisect an angle
c)
Copy a line segment
d)
Bisect a line segment
13.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Perpendicular line to a point on the line
d)
Perpendicular bisector of a line segment
14.
a)
1
b)
2
c)
3
d)
4
15.
Based on the construction, which conclusion is not always true?
a)
A
b)
B
c)
C
d)
D
16.
a)
A
b)
B
c)
C
d)
D
17.
Select the best answer choice.
a)
F
b)
G
c)
H
d)
J
18.
Select the best answer choice.
a)
A
b)
B
c)
C
d)
D
19.
Select the best answer choice.
a)
A
b)
B
c)
C
d)
D
20.
Select the best answer choice.
a)
A
b)
B
c)
C
d)
D
21.
When copying line segment AB using a straight edge and a compass, the compass should be used to:
a)
Draw an arc above point A
b)
Measure the length of segment AB
c)
Draw an arc between point A and point B
d)
Measure half the length of line segment AB
22.
Name the construction.
a)
midpoint
b)
perpendicular through a point on the line
c)
perpendicular through a point NOT on the line
d)
Circumcenter of a right triangle
23.
What type of construction is illustrated in the diagram?
a)
Angle congruent to angle D
b)
Line segment congruent to AD
c)
Angle congruent to angle D
d)
Bisection of angle D
24.
Line segment AB is shown in the diagram. 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?
a)
I and II
b)
I and III
c)
II and III
d)
II and IV
25.
This picture represents a...
a)
construction of a perpendicular bisector
b)
construction of a midpoint
c)
construction of parallel lines
d)
not a full construction, an important step is missing
26.
Name the construction.
a)
isosceles triangle
b)
equilateral triangle
c)
bisect an angle
d)
Circumcenter of an acute triangle
27.
Cody is constructing a line perpendicular to line from point . Which of the following should be his first step?
a)
A
b)
B
c)
C
d)
D
28.
Given the diagram, what is the first step in bisecting angle ADB?
a)
Arc 1
b)
Arc 2
c)
Arc 3
d)
Ray 4
29.
Select the best answer choice.
a)
A
b)
B
c)
C
d)
D
30.
What kind of construction is displayed in this picture?
a)
A circle inscribed in a hexagon
b)
A hexagon inscribed in a circle
c)
A hexagon
d)
A circle
31.
As shown in the diagram below of triangle ABC, a compass is used to find points D and E, equidistant from point A. Next, the compass is used to find point F, equidistant from points D and E. Finally, a straight-edge is used to draw ray AF. Then, point G, the intersection of ray AF and side BC of triangle ABC, is labeled. Which statement must be true?
a)
Ray AF bisects side BC
b)
Ray AF bisects <BAC
c)
Ray AF is perpendicular to BC
d)
Triangle ABG ~ Triangle ACG
32.
Based on the construction below, which statement must be true?
a)
m<ABD = 1/2 m<CBD
b)
m<ABD = m<CBD
c)
m<ABD = m<ABC
d)
m<CBD = 1/2 m<ABD
33.
Suppose we wish to construct a perpendicular bisector of line segment EF. We can correctly begin by placing the compass point on E and marking off the distance to which point?
a)
A
b)
B
c)
C
d)
D
34.
Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?
a)
Place the compass point at B
b)
Place the compass point at C
c)
Place the straightedge along A and C
d)
Place the straightedge along C and D
35.
a)
A
b)
B
c)
C
d)
D
36.
a)
1
b)
2
c)
3
d)
4
37.
a)
1
b)
2
c)
3
d)
4
38.
a)
1
b)
2
c)
3
d)
4
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