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Geometric constructions

Mathematics

10th Grade

CCSS covered

Used 14+ times

Geometric constructions
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10 questions

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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

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

3.

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

4.

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

5.

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Tags

CCSS.HSG.CO.C.9

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

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

Draw ray AD
Draw a line segment connecting points B and C.
From points B and C, draw equal arcs that intersect at D.
From point A, draw an arc that intersects the sides of theangle at points B and C.

Tags

CCSS.HSG.CO.C.9

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