Multiple Choice Construction Practice

Multiple Choice Construction Practice

9th - 12th Grade

20 Qs

quiz-placeholder

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Multiple Choice Construction Practice

Multiple Choice Construction Practice

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSG.CO.D.12, HSG.CO.C.9, HSG.CO.A.1

+9

Standards-aligned

Created by

Jessica Miller

Used 564+ times

FREE Resource

About this resource

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

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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?

A
B
C
D

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.D.12

3.

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

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

6.

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

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

A
B
C
D

Tags

CCSS.HSG.CO.D.12

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