Geometric Constructions Mastery

Select the best answer choice.

• F

• G

• H

• J

Select the best answer choice.

• A

• B

• C

• D

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.

What is this?

• Compass

• Circle creator

• Pencil swingy-thing

• Arc maker

What is being constructed?

• A congruent segment

• Parallel Lines

• Perpendicular Bisector

• Angle Bisector

What does this symbol mean?

≅

• not equal

• congruent

• equal

• half

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

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

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.

Based on the construction, which statement must be true?

• A

• B

• C

• D