What type of construction is illustrated in the figure?

A line segment congruent to segment AB

What geometric construction is shown in the diagram below?

a perpendicular bisector of a segment

a line parallel to a given 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?

Eric 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.

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

Nate is constructing angle bisector to angle ABC. Where did he position his compass to create the two arcs that intersect at the interior of the angle?

He fixed his compass on points D and E.

He fixed his compass on B and drew both arcs.

He fixed his compass on points A and C.

He fixed his compass on points B and E.

What is Aaron constructing in the diagram?

A line parallel to PQ, through R.

An angle bisector to angle RJQ.

A line perpendicular to PQ, through R.

A perpendicular bisector to PQ.

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

It depends on the size of the circle

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.

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.

Based on the construction, which conclusion is not always true?

A B ‾ = C D ‾ \overline{AB}=\overline{CD} A B = C D

C B ‾ = C A ‾ \overline{CB}=\overline{CA} C B = C A

C D ‾ ⊥ A B ‾ \overline{CD}\perp\ \overline{AB} C D ⊥ A B

C B ‾ = B D ‾ \overline{CB}=\overline{BD} C B = B 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 is the construction of an equilateral triangle given side AB?

A) Using a compass and straightedge

Math

Authored by Amy Bronson

Mathematics

9th Grade

CCSS covered

Used 2+ times

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

a bisector of a given angle

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

an angle congruent to a given angle

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following shows the construction of an angle bisector?

Tags

CCSS.HSG.CO.C.9

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Math

What is this?

What kind of construction is displayed in this picture?

By using a compass, D and G were marked equidistant from Vertex E. The compass was then used to locate point F, distant from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of DEF and GEF

Which of the following constructions is illustrated?

What type of construction do you see?

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

Which of the following shows the construction of an angle bisector?

What must be true?

What type of construction is illustrated in the figure?

What geometric construction is shown in the diagram below?

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