Quiz about Geometric Constructions Review

Question 1

Which of the following constructions is illustrated?

Accepted Answer

The bisector of a given angle

Answer

An angle is congruent to a given angle

Answer

The bisector of a given segment

Answer

The perpendicular bisector of a given segment.

Question 2

Name the construction.

Accepted Answer

Perpendicular bisector of a line segment

Answer

Angle bisector

Answer

Perpendicular line to a point not on a line

Answer

Perpendicular line to a point on the line

Question 3

Name the construction.

Accepted Answer

Angle bisector

Answer

Perpendicular line to a point not on a line

Answer

Angle median

Answer

Perpendicular bisector of a line segment

Question 4

Name the construction.

Accepted Answer

Parallel line to a point not on the line

Answer

Corresponding angles

Answer

Perpendicular line to a point not on the line

Answer

Angle bisector

Question 5

Name the construction.

Accepted Answer

Copy an angle

Answer

Angle bisector

Answer

Di-sect an angle

Answer

Vertical angles

Question 6

What was duplicated?

Accepted Answer

line segment

Answer

line

Answer

ray

Answer

angle

Question 7

What type of construction do you see?

Accepted Answer

perpendicular bisector

Answer

midpoint

Answer

angle bisector

Answer

altitude

Question 8

What type of construction do you see?

Accepted Answer

angle bisector

Answer

midpoint

Answer

perpendicular bisector

Answer

altitude

Question 9

Which one is the correct construction for a perpendicular bisector?

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 10

The given diagram is what kind of construction?

Accepted Answer

Congruent angles

Answer

Perpendicular bisector

Answer

Angle bisector

Answer

Congruent line segments

Question 11

Name the construction.

Accepted Answer

perpendicular through a point NOT on the line

Answer

midpoint

Answer

perpendicular through a point on the line

Answer

Circumcenter of a right triangle

Question 12

This construction forms a __________.

Accepted Answer

Perpendicular Line

Answer

Perpendicular Bisector

Answer

A lowercase "t" flipped to the side

Answer

Line Segment

Question 13

Connecting the points where the arcs intersect the circle will finish the construction of what polygon?

Accepted Answer

hexagon

Answer

isosceles triangle

Answer

square

Answer

rectangle

Question 14

Classify the triangle in the construction.

Accepted Answer

equilateral triangle

Answer

scalene triangle

Answer

isosceles triangle

Answer

right triangle

Question 15

The steps shown are a part of the construction of which figure?

Accepted Answer

square

Answer

rectangle

Answer

equilateral triangle

Answer

regular hexagon

Question 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?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 17

To inscribe a hexagon inside a circle, which length should you set your compass to?

Accepted Answer

The radius

Answer

The diameter

Answer

Half of the radius

Answer

It depends on the size of the circle

Question 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?

Accepted Answer

Place the compass point at B

Answer

Place the compass point at C

Answer

Place the straightedge along A and C

Answer

Place the straightedge along C and D

Question 19

When bisecting an angle, the straightedge should be used to:

Accepted Answer

Connect point M and vertex O

Answer

Mark the point M

Answer

Measure the angle AOB

Answer

Copy the angle with an arc

Question 20

To inscribe a square inside a circle, first you must draw a diameter anywhere across the circle. What should your next step be?

Accepted Answer

Construct a perpendicular bisector

Answer

Draw a second diameter to the circle

Answer

Construct a line tangent to the circle

Answer

Set your compass the length of the radius.

Question 21

Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 22

Given: angle A
What is the first step in constructing the angle bisector of angle A?

Accepted Answer

From point A, draw an arc that intersects the sides of theangle at points B and C.

Answer

Draw ray AD

Answer

Draw a line segment connecting points B and C.

Answer

From points B and C, draw equal arcs that intersect at D.

Question 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?

Accepted Answer

I and III

Answer

I and II

Answer

II and III

Answer

II and IV

Question 24

Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?

Accepted Answer

a line through P parallel to line l

Answer

a line through P intersecting line l

Answer

a line through P congruent to line l

Answer

a line through P perpendicular to line l

Question 25

When bisecting an angle, the angle AOM is congruent to :

Accepted Answer

Need to measure the angles with a protractor

Answer

angle AOB

Answer

angle MOB

Answer

None of the other angles

Geometric Constructions Review

25 questions

Which of the following constructions is illustrated?

Name the construction.

Name the construction.

Name the construction.

Name the construction.

What was duplicated?

What type of construction do you see?

What type of construction do you see?

Which one is the correct construction for a perpendicular bisector?

The given diagram is what kind of construction?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics