Quiz about Construction of inscribed and circumscribed circle

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

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 3

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 4

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 5

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 6

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 7

The picture represents a compass and straightedge construction of _________?

Accepted Answer

Copy a line segment

Answer

Bisect a line segment

Answer

Copy an angle

Answer

Bisect an angle

Question 8

Which of the following best describes the construction?

Accepted Answer

Ray OC bisects angle BOA.

Answer

Ray OC trisects angle BOA.

Answer

Ray OC is parallel to ray OA.

Answer

Ray OC is parallel to both rays OA and OB.

Question 9

What is the tool being used called?

Accepted Answer

Compass

Answer

Circle creator

Answer

Pencil swingy-thing

Answer

Arc maker

Question 10

Name the construction.

Accepted Answer

equilateral triangle inscribed in a circle

Answer

circumscribed triangle

Answer

inscribed scalene triangle

Answer

inscribed hexagon

Construction of inscribed and circumscribed circle

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