Construction Angle Bisector

Which construction is illustrated in the image?

• copying an angle

• bisecting an angle

• copying a line segment

• bisecting a line segment

What type of construction do you see?

• midpoint

• angle bisector

• perpendicular bisector

• altitude

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 .

Name the construction.

• Angle bisector

• Perpendicular line to a point not on a line

• Angle median

• Perpendicular bisector of a line segment

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

What must be true?

• 1

• 2

• 3

• 4

What construction is this?

• Perpendicular Bisector of a Segment

• Equilateral Triangle

• Angle Bisector

• Regular Hexagon

By using a compass, D and G were marked equidistant from Vertex E. The compass was then used to locate point F, distant from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of DEF and GEF

• are equal

• are NOT equal

• sum to 45°

• sum to 30°

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.