Miscellaneous Theorems

Question 1

Linear Pair Postulate

Answer 1

If two angles form a linear pair, then they are supplementary

Question 2

Congruent Complements Theorem

Answer 2

If A and B are complements and B and C are complements, then A is congruent to C.

Question 3

Congruent Supplements Theorem

Answer 3

If A and B are supplements and B and C are supplements, then A is congruent to C.

Question 4

Shortest Distance Theorem

Answer 4

The shortest distance from a line to a point not on it is the length of the line segment perpendicular to the line through the point

Question 5

Parallel Postulate

Answer 5

Given a line and a point not on that line, there exists exactly one coplanar line that passes through the given point and is parallel to the given line

Question 6

Perpendicular Bisector Theorem

Answer 6

The points on a perpendicular bisector are equidistant from the endpoints of the bisected line

Question 7

Converse of Perpendicular Bisector Theorem

Answer 7

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

Question 8

Midpoint Theorem

Answer 8

If A is the midpoint of segment BC, then BA is congruent to AC