Geometric Constructions Pop Quiz

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.

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.D.12

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

• A

• B

• C

• 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

Tags

CCSS.HSG.CO.C.9

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.

Tags

CCSS.HSG.CO.C.9

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.

Which statement is false?

• 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

Tags

CCSS.HSG.CO.C.9

As shown in the diagram of triangle ABC, a compass is used to find point D and E, equidistand from point A. Next, the compass is used to find point F, equidistand from D and E. Finally, a straight edge is used to draw ray AF. Then point G, the intersection of AF and BC is labeled.

Which statement must be true?

• A

• B

• C

• D

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

• Eric should have started by putting the compass needle point at the midpoint of the segment AB.

• On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

• Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

• Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

Tags

CCSS.HSG.CO.D.12