Constructions Review

Which one is the correct construction for a perpendicular bisector?

• 1

• 2

• 3

• 4

Put the steps in order to construct the perpendicular bisector of a segment

• Set the compass needle on one endpoint of the segment and open it more than halfway across the segment

• Use a straightedge to draw the line from one of the arcs' intersections to the other

• With the compass needle on the first endpoint, use the existing compass width to draw arcs on either side of the segment

• Place the compass needle on the second endpoint without changing the width then draw arcs on either side of the segment

Tags

MA.912.GR.5.2

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

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

Suppose we wish to construct a perpendicular bisector of line segment EF. We can correctly begin by placing the compass needle end on E and opening the lead end to which point?

• A
• B
• C
• D

This construction forms a __________.

• Perpendicular bisector of line l

• Perpendicular through a noncollinear point

• Perpendicular through a collinear point

• Congruent Line Segment

What is being constructed in the figure?

• Perpendicular bisector of line m

• Perpendicular through a collinear point

• Perpendicular through a noncollinear point

• Parallel through a noncollinear point

Name the construction.

• Angle bisector
• Perpendicular through a noncollinear point

• Congruent angle

• Perpendicular bisector of a line segment

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.

Put the steps in order to draw a segment congruent to existing segment AB.

• Use a straightedge to draw a line between point C and the arc.

• Draw a point separate from segment AB and name it C.

• Open your compass to the width of AB.

• Name the intersection of the line and the arc D. CD is the congruent segment.

• Without changing the width, place the compass point on point C and draw an arc.

Answer explanation

Tags

MA.912.GR.5.1

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