Question

1. choose the definition or theorem with the correct words.

if a point is on an angle bisector, it is equidistant from each side of the angle.
converse of the perpendicular bisector theorem
angle bisector theorem
locus
converse of the angle bisector theorem

1. choose the definition or theorem with the correct words.

a set of points whose location is determined by a specific set of conditions.
converse of the angle bisector theorem
locus
equidistant
converse of the perpendicular bisector theorem

Explanation:

• For the first question:
• The Angle Bisector Theorem states that if a point is on an angle bisector, it is equidistant from each side of the angle.
• The Converse of the Perpendicular Bisector Theorem is about points equidistant from the endpoints of a segment.
• A locus is a set of points satisfying a condition (used in the second question).
• The Converse of the Angle Bisector Theorem is if a point is equidistant from the sides of an angle, then it lies on the angle bisector.
• For the second question:
• The definition of a locus is a set of points whose location is determined by a specific set of conditions.
• The other options are theorems or a term (equidistant) not matching the given definition.

Answer:

1. B. Angle Bisector Theorem
2. B. locus