Basic Geometric Constructions

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

Which image shows the construction of congruent segments?

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Which construction illustrates “copy an angle”?

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It allows you to construct lines, angles, and polygons with the simplest of tools.

• Geometry

• Geometric Sequence

• Geometric Constructions

3 or more points on a line

• plane

• angle

• collinear

• points

The drawing shows the arcs used to construct...what?

• a bisector of a given line

• a bisector of a given angle

• a perpendicular of a given line at a point on the line

• an angle congruent to a given angle

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 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

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

• A

• B

• C

• 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.