What geometric construction is shown in the diagram below?

a perpendicular bisector of a segment

a line parallel to a given line

an angle congruent to a given angle

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

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

Draw a line segment connecting points B and C.

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

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

Which of the following best describes the construction?

Ray OC is parallel to both rays OA and OB.

Consider the beginning of a construction of a square inscribed in circle Q. Step 1: label point R on circle Q. Step 2: Draw a diameter through R and Q. Step 3: Label the point where the diameter intersects the circle as point T. What is the next step in this construction?

Construct the perpendicular bisector of RT.

Construct a line segment parallel to RT.

What does the word BISECT mean?

To cut something into two congruent pieces or in half.

To cut something into more than five pieces.

It is a plane with two sets of wings.

To cut something into two parts (of any size)

Name the construction.

equilateral triangle inscribed in a circle

Multiple Choice Construction Practice

Authored by Jessica Miller

Mathematics

9th - 12th Grade

CCSS covered

Used 564+ times

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This quiz covers geometric constructions using compass and straightedge, specifically focusing on fundamental construction techniques taught in high school geometry courses at the 9th through 10th grade level. Students need to understand the precise steps and procedures for creating basic geometric figures and relationships, including copying line segments and angles, bisecting angles and line segments, constructing perpendicular bisectors, creating parallel lines, and inscribing regular polygons (squares, hexagons, and triangles) within circles. The core mathematical reasoning involves understanding congruence relationships, the properties of circles and regular polygons, and the logical sequence of construction steps. Students must recognize the specific roles of the compass (for measuring distances and creating arcs) and straightedge (for drawing straight lines) in each construction, as well as identify completed constructions from diagrams showing construction marks and auxiliary lines. Created by Jessica Miller, a Mathematics teacher in the US who teaches grades 9-12. This comprehensive quiz serves as an excellent formative assessment tool for students learning classical geometric constructions, suitable for use as guided practice during instruction, homework assignments, or review before summative assessments. Teachers can use individual questions as warm-up problems to reinforce specific construction techniques, or deploy the entire quiz to evaluate student mastery of multiple construction methods simultaneously. The varied question formats, including procedural steps, diagram interpretation, and vocabulary recognition, make this resource particularly valuable for differentiated instruction and identifying specific areas where students need additional support. This quiz aligns with Common Core State Standards G-CO.12 and G-CO.13, which require students to make formal geometric constructions with a variety of tools and methods, and construct an equilateral triangle, square, and regular hexagon inscribed in a circle.

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 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

Tags

CCSS.HSG.CO.D.12

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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?

Tags

CCSS.HSG.CO.D.12

CCSS.HSG.CO.A.1

MULTIPLE CHOICE QUESTION

1 min • 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

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

MULTIPLE CHOICE QUESTION

45 sec • 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

Tags

CCSS.4.MD.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Mark the point M

Measure the angle AOB

Copy the angle with an arc

Connect point M and vertex O

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

Tags

CCSS.HSG.CO.D.12

CCSS.HSG.CO.D.13

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSG.CO.D.12

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Multiple Choice Construction Practice

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

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?

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?

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

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?

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

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?

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Given: angle A
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