Constructions

What is this?

• Compass

• Circle Creator

• Straightedge

• Arc Maker

Tags

CCSS.HSG.C.A.3

CCSS.HSG.C.A.4

CCSS.HSG.CO.D.12

Name the construction.

• Angle Bisector

• Perpendicular lines to a point NOT on a line

• Perpendicular to a point ON a line

• Perpendicular bisector of a line segment

Tags

CCSS.HSG.CO.B.6

Name the construction.

• Angle bisector

• Perpendicular lines to a point NOT on a line

• Angle median

• Perpendicular bisector of a line segment

Tags

CCSS.HSG.CO.D.12

Name the construction.

• Angle bisector

• Copying an angle

• Copying a line segment

• Perpendicular bisector

Tags

CCSS.HSG.CO.D.12

What does the word BISECT mean?

• To cut something into more than five pieces

• It is a plane with two sets of wings

• A shape that has three sides

• To cut something into two congruent pieces or in half

Tags

CCSS.HSG.CO.C.9

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?

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

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

• C. 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.

• D. 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.C.9

What is being constructed?

• A congruent segment

• Parallel lines

• Perpendicular bisector

• Angle bisector

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.4.G.A.1

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

• A

• B

• C

• D

Tags

CCSS.HSG.CO.D.12

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 the angle at points B and C

Tags

CCSS.HSG.CO.C.9