Question

2 match the vocabulary word to the correct definition.
if c is a point on the perpendicular bisector of ab, the distance from c to a is the same distance from c to b.
an extra line drawn on a figure to show hidden structure
corresponding parts of congruent triangles are congruent
in an isosceles triangle, the base angles are congruent
drag & drop the answer
auxiliary line | isosceles triangle theorem | perpendicular bisector theorem | cpctc

Explanation:

1. The first definition describes the rule that points on a perpendicular bisector are equidistant from the segment's endpoints, which matches the Perpendicular Bisector Theorem.
2. An extra line added to a figure to reveal hidden structure is the definition of an Auxiliary Line.
3. "Corresponding Parts of Congruent Triangles are Congruent" is the full form of the acronym CPCTC.
4. The statement about base angles of an isosceles triangle being congruent is the Isosceles Triangle Theorem.

Answer:

• If C is a point on the perpendicular bisector of AB, the distance from C to A is the same distance from C to B. → Perpendicular Bisector Theorem
• an extra line drawn on a figure to show hidden structure → Auxiliary Line
• Corresponding Parts of Congruent Triangles are Congruent → CPCTC
• In an isosceles triangle, the base angles are congruent → Isosceles Triangle Theorem