Angle Construction

What is the first step in constructing an angle bisector?

• Draw a straight line and place the compass on the other end of the line.

• Draw a straight line and place the compass on the middle of the line.

• Draw a straight line and place the compass on one end of the line.

• Place the compass pin on the vertex and draw an arc .

What is the purpose of drawing an arc that intersects both sides of the angle in angle bisector construction?

• To determine the length of the angle bisector.

• To find 2-points of intersection, which are the same distance to the vertex of the Angle.

• To create a right angle.

• To find the midpoint of the angle.

Tags

CCSS.HSG.CO.C.9

In angle bisector construction, what is the second step after drawing the first arc?

• Draw 2nd arc by placing pin of compass on one of the intersections of 1st (red) arc and side of the angle

• Draw a straight line

• Draw a circle

• Draw a line segment

Tags

CCSS.HSG.CO.C.9

What is the final step in constructing an angle bisector?

• Draw a line that intersects the angle at a right angle.

• Draw a line that connects the two endpoints of the angle.

• Draw a line that connect the vertex and passes through the intersection of the 2-arcs. This line divides vertex into two equal angles.

• Draw a line that passes through one of the sides of the angle.

Tags

CCSS.HSG.CO.C.9

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

Based on the construction, which statement must be true?

• A

• B

• C

• D

Tags

CCSS.HSG.CO.C.9

What type of construction is illustrated in the diagram?

• Angle congruent to angle D

• Line segment congruent to AD

• Angle congruent to angle D

• Bisection of angle D

Tags

CCSS.HSG.CO.B.7

What is the result of constructing an angle bisector?

• Increases the angle measure

• Forms a straight line

• Creates a right angle

• Divides the original angle into two equal smaller angles

Tags

CCSS.HSG.CO.C.9

Which construction is illustrated in the image?

• copying an angle

• bisecting an angle

• copying a line segment

• bisecting a line segment

List the steps of the angle bisector construction in order from 1 to 4.

a

b

c

d

3

4

2

1

Tags

CCSS.HSG.CO.C.9