QQ#10 Copying & Bisecting Angles

The drawing shows a compass and straight edge construction of...what?

• the bisector of a given angle

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

• a perpendicular to a given line from a point NOT on the line

• an angle congruent to a given angle

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

Tags

CCSS.HSG.CO.C.9

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.L.1.6

CCSS.L.3.6

CCSS.L.K.5A

Name the construction.

• Angle bisector
• Perpendicular line to a point not on a line
• Angle median
• Perpendicular bisector of a line segment

Name the construction.

• Angle bisector
• Di-sect an angle
• Copy an angle
• Vertical angles

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 needle at B

• Place the compass needle at C

• Place the straightedge along A and C
• Place the straightedge along C and D

Tags

CCSS.4.MD.C.6

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 the angle at points B and C.

Tags

CCSS.HSG.CO.C.9

Nate is constructing angle bisector to angle ABC.  Where did he position his compass to create the two arcs that intersect at the interior of the angle?

• He fixed his compass on B and drew both arcs.
• He fixed his compass on points A and C.
• He fixed his compass on points D and E.
• He fixed his compass on points B and E.

Tags

CCSS.HSG.CO.C.9

Tags

CCSS.7.G.B.5