Angle Bisector Construction

What is the definition of an angle bisector?

• A line or ray that divides an angle into three congruent angles.

• A line or ray that divides an angle into two congruent angles.

• A line or ray that divides an angle into two unequal angles.

• A line or ray that divides an angle into two parallel lines.

Which tool is commonly used to construct an angle bisector?

• Compass

• Protractor

• Pencil

• Ruler

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.

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

In angle bisector construction, what is the third step after drawing the 2nd arc?

• Draw 3rd arc by placing pin of compass on the other intersections of 1st arc and side of the angle

• Draw a straight line

• Draw a circle

• Draw a line segment

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.

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

Can an angle bisector be constructed for any angle?

• No

• Only for acute angles

• Only for obtuse angles

• Yes

What is the angle bisector of a straight angle?

• A line that divides the straight angle into three equal angles, each measuring 60 degrees.

• A line that divides the straight angle into two equal angles, each measuring 180 degrees.

• A line that divides the straight angle into two equal angles, each measuring 90 degrees.

• A line that divides the straight angle into two unequal angles, each measuring 45 degrees.