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WorksheetsGeometric Constructions Review
Total questions: 25
Worksheet time: 21mins
Name
Class
Date
1.
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.
2.
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
3.
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
4.
Name the construction.
a)
Corresponding angles
b)
Parallel line to a point not on the line
c)
Perpendicular line to a point not on the line
d)
Angle bisector
5.
Name the construction.
a)
Angle bisector
b)
Di-sect an angle
c)
Copy an angle
d)
Vertical angles
6.
What was duplicated?
a)
line
b)
line segment
c)
ray
d)
angle
7.
What type of construction do you see?
a)
midpoint
b)
angle bisector
c)
perpendicular bisector
d)
altitude
8.
What type of construction do you see?
a)
midpoint
b)
angle bisector
c)
perpendicular bisector
d)
altitude
9.
Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4
10.
The given diagram is what kind of construction?
a)
Perpendicular bisector
b)
Congruent angles
c)
Angle bisector
d)
Congruent line segments
11.
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
12.
This construction forms a __________.
a)
Perpendicular Bisector
b)
Perpendicular Line
c)
A lowercase "t" flipped to the side
d)
Line Segment
13.
Connecting the points where the arcs intersect the circle will finish the construction of what polygon?
a)
isosceles triangle
b)
square
c)
hexagon
d)
rectangle
14.
Classify the triangle in the construction.
a)
scalene triangle
b)
equilateral triangle
c)
isosceles triangle
d)
right triangle
15.
The steps shown are a part of the construction of which figure?
a)
square
b)
rectangle
c)
equilateral triangle
d)
regular hexagon
16.
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
17.
To inscribe a hexagon inside a circle, which length should you set your compass to?
a)
The radius
b)
The diameter
c)
Half of the radius
d)
It depends on the size of the circle
18.
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
19.
When bisecting an angle, the straightedge should be used to:
a)
Mark the point M
b)
Measure the angle AOB
c)
Copy the angle with an arc
d)
Connect point M and vertex O
20.
To inscribe a square inside a circle, first you must draw a diameter anywhere across the circle. What should your next step be?
a)
Construct a perpendicular bisector
b)
Draw a second diameter to the circle
c)
Construct a line tangent to the circle
d)
Set your compass the length of the radius.
21.
Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?
a)
A
b)
B
c)
C
d)
D
22.
Given: angle A
What is the first step in constructing the angle bisector of angle A?
What is the first step in constructing the angle bisector of angle A?
a)
Draw ray AD
b)
Draw a line segment connecting points B and C.
c)
From points B and C, draw equal arcs that intersect at D.
d)
From point A, draw an arc that intersects the sides of theangle at points B and C.
23.
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
24.
Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?
a)
a line through P parallel to line l
b)
a line through P intersecting line l
c)
a line through P congruent to line l
d)
a line through P perpendicular to line l
25.
When bisecting an angle, the angle AOM is congruent to :
a)
angle AOB
b)
angle MOB
c)
Need to measure the angles with a protractor
d)
None of the other angles
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