Question

Which of the following is the statement below describing? If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

A. Right Triangle Theorem
B. Converse of the Perpendicular Bisector Theorem
C. Perpendicular Bisector Theorem
D. Pythagorean Theorem

Answer 1

ANSWER:C

Explanation:

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Answer 2

(C) Perpendicular bisector theorem

Explanation:

(A) Right angle theorem : The right angle theorem states that if two angles are supplementary and congruent, then these two angles are right angles.

(B) Converse of perpendicular bisector theorem: The converse of perpendicular bisector theorem states that If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of that segment.

(C) Perpendicular Bisector Theorem: The Perpendicular Bisector Theorem states that If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

(D) Pythagorean theorem: The Pythagorean theorem states that in the right angled triangle, the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides that is:

`(Hypotenuse)^2=(Base)^2+(Perpendicular)^2`

Since, the given statement is the statement of the Perpendicular bisector theorem, thus option C is correct.