Geometric Constructions

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

Based on the construction, which statement must be true?

• A

• B

• C

• D

A straightedge and compass were used to create the construction. Arc EF was drawn from point B, and arcs with equal radii were drawn from E and F.

• 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

Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?

• a line through P parallel to line l

• a line through P intersecting line l

• a line through P congruent to line l

• a line through P perpendicular to line l

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

• A

• B

• C

• D

Which image shows the construction of a perpendicular bisector?

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Which construction illustrates “copy an angle”?

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