Geometric Constructions Mastery

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

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

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

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

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.

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