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

a line through P parallel to line l

a line through P intersecting line l

a line through P congruent to line l

a line through P perpendicular to line l

What is being constructed in the figure?

the line perpendicular to line m through a point on the line

the perpendicular bisector of line m

the line parallel to line m through a point NOT on the line

an angle that has line m as its bisector

The drawing shows the arcs used to construct...what?

a perpendicular of a given line at a point on the line

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

Eric should have started by putting the compass needle point at the midpoint of the segment AB.

On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

Janice is attempting to construct the angle bisector of angle JKL. Her first step is shown. What would be the next step?

She would need to open the compass so that the compass needle point is at the intersection point A and the pencil end of the compass is at intersection point B.

Create another arc with the same radius as the first but placing the compass needle point at point L.

She would need to first open the compass so that the compass needle point is at the point K and the pencil end of the compass is at intersection point A.

She would need to use a straight edge and draw a line through point L and point A. She would also need to draw line through point B and point J.

Line Segment Construction

Quiz

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.CO.C.9, 4.G.A.1, 4.MD.C.6

+2

Standards-aligned

Barbara White

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

Draw an arc above point A

Measure the length of segment AB

Draw an arc between point A and point B

Measure half the length of line segment AB

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

The radius

The diameter

Half of the radius

It depends on the size of the circle

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

Place the compass point at B

Place the compass point at C

Place the straightedge along A and C

Place the straightedge along C and D

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

Construct a perpendicular bisector

Draw a second diameter to the circle

Construct a line tangent to the circle

Set your compass the length of the radius.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

A

B

C

D

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What geometric construction is shown in the diagram below?

an angle bisector

a line parallel to a given line

an angle congruent to a given angle

a perpendicular bisector of a segment

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Based on the construction, which statement must be true?

A

B

C

D

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Line Segment Construction

20 questions

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

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

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

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

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

What geometric construction is shown in the diagram below?

Based on the construction, which statement must be true?

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?

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

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