Geometric Foundations and Construction

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

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

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.

Which of the following constructions is illustrated?

• An angle is congruent to a given angle

• The bisector of a given angle

• The bisector of a given segment

• The perpendicular bisector of a given segment.

Name the construction.

• Angle bisector

• Perpendicular line to a point not on a line

• Perpendicular line to a point on the line

• Perpendicular bisector of a line segment

Name the construction.

• Angle bisector

• Perpendicular line to a point not on a line

• Angle median

• Perpendicular bisector of a line segment

Which one is the correct construction for a perpendicular bisector?

• 1

• 2

• 3

• 4

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

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