Midsegments and Bisectors of Triangles Jeopardy

Enter Category Name

100

Perpendicular Bisector: A line _________ to a segment at its _________.

A line perpendicular to a segment at its midpoint. 

200

Draw segment OK. Draw line M that that is the perpendicular bisector of OK. 

300

Perpendicular Bisector Theorem:

If a point is on the ______ of a segment, then it is ______ from the endpoints of the segment.

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

400

T or F: If a point is on the perpendicular bisector of a segment, then it is not equidistant from the endpoints of the segment.

False

Enter Category Name

100

Angle Bisector: A ________ that divides an angle into two congruent ________ .

A line that divides an angle into two congruent angles.

200

Draw ∠ABC. Draw ray BX that is the angle bisector. 

300

Converse of the Perpendicular Bisector Theorem:

If a point is ______ from the endpoints of a segment, then it is on the ______ of the segment.

If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

400

T or F: If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.

True 

Enter Category Name

100

Equidistant: When a point is the same ________ from two or more objects.

When a point is the same distance from two or more objects.

200

Draw two angles that are congruent and share a line.

300

Angle Bisector Theorem:

If a point is on the _____ of an angle, then it is _____ from the sides of the angle.

If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.

400

T or F: if a point is in the interior of an angle and equidistant from the sides, then it lies outside of the bisector of that angle.

False

Enter Category Name

100

Midpoint: Point that divides a ____ into two congruent ______ .

Point that divides a segment into two congruent segments.

200

Draw obtuse ∠CAT. Draw the ray AS as an angle bisector.

300

Converse of the Angle Bisector Theorem:

If a point in the interior of an angle is ______ from the sides of the angle, then it is on the ______ of the angle.

If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle.

400

T or F: The distance from a point to a line is the length of the perpendicular segment from that point to the line. 

True