Angle Bisector Construction

Front

What is the result of constructing an angle bisector?

Back

Divides the original angle into two equal smaller angles.

Tags

CCSS.HSG.CO.C.9

Front

What is the first step in constructing an angle bisector?

Back

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

Front

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

Back

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

Tags

CCSS.HSG.CO.C.9

Front

What type of construction do you see?

Back

Angle bisector.

Tags

CCSS.HSG.CO.C.9

Front

Which tool is commonly used to construct an angle bisector?

Back

Compass.

Tags

CCSS.HSG.CO.C.9

Front

Define an angle bisector.

Back

A line or ray that divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

What is the relationship between the angles formed by an angle bisector?

Back

The two angles are congruent.

Front

How can you verify that a line is an angle bisector?

Back

By measuring the angles on either side of the bisector; they should be equal.

Tags

CCSS.HSG.CO.C.9

Front

What geometric shape is formed when an angle bisector is drawn from the vertex of an angle?

Back

Two adjacent angles.

Tags

CCSS.HSG.GPE.B.6

Front

What is the importance of using a compass in angle bisector construction?

Back

It helps to ensure that the distances from the vertex to the points of intersection are equal.