Quiz about Geometric Constructions

Question 1

When copying line segment AB using a straight edge and a compass, the compass should be used to:

Accepted Answer

Measure the length of segment AB

Answer

Draw an arc above point A

Answer

Draw an arc between point A and point B

Answer

Measure half the length of line segment AB

Question 2

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 3

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 4

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 5

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 6

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 7

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 8

What geometric construction is shown in the diagram below?

Accepted Answer

a perpendicular bisector of a segment

Answer

an angle bisector

Answer

a line parallel to a given line

Answer

an angle congruent to a given angle

Question 9

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 10

Based on the construction, which statement must be true?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 11

A straightedge and compass were used to create the construction. Arc EF was drawn from point B, and arcs with equal radii were drawn from E and F.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 12

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 13

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 14

Question 14.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 15

Based on the construction, which conclusion is not always true?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Geometric Constructions

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