Geometric Marking

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

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

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

Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?

• A

• B

• C

• 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

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

Line segment AB is shown in the diagram. Which two sets of construction marks, labeled I, II , III, and IV, are part of the construction of the perpendicular bisector of line segment AB?

• I and II

• I and III

• II and III

• II and IV

• A
• B
• C
• D

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

• A

• B

• C

• D