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If two angles are right angles, then

they are congruent

If two angles are straight angles, then

they are congruent

If a conditional statement is true, then

the contrapositive of the statement is also true (If p, then q <=> if ~q, then ~p.)

If angles are supplementary to the same angle, then

they are congruent

If angles are supplementary to congruent angles, then

they are congruent

If angles are complementary to congruent angles, then

they are congruent

If angles are complementary to congruent angles, then

they are congruent

If a segment is added to two congruent segments, then

the sums are congruent. (Addition property)

If an angle is added to two congruent angels, then

the sums are congruent. (Addition property)

If congruent segments are added to congruent segments, then

the sums are congruent. (Addition property)

if congruent angles are added to congruent angles, then

the sums are congruent. (Addition property)

If a segment (or angle) is subtracted from congruent segments (or angles), then

the differences are congruent. (Subtraction Property)

If congruent segments (or angles) are subtracted from congruent segments (or angles), then

the differences are congruent. (Subtraction Property)

If segments (or angles) are congruent, then

their like multiples are congruent. (Multiplication Property)

If segments (or angles) are congruent, then

their like divisions are congruent. (Division Property)

If angles (or segments) are congruent to the same angle (or segment), then

they are congruent to each other. (Transitive Property)

If angles (or segments) are congruent to congruent angles (or segments), then

they are congruent to each other. (Transitive Property)

Vertical angles are

congruent

All radii of a circle are

congruent

If two sides of a triangle are congruent, then

the angles opposite the sides are congruent.

If two angles of a triangle are congruent, then

the sides opposite the sides are congruent.

If A = (x1, y1) and B = (x2, y2), then

the midpoint M = (xm, ym) of AB can be found by using the midpoint formula

If two angles are both supplementary and congruent, then

they are right angles

If two points are each equidistant from the endpoints of a segment, then

the two points determine the perpendicular bisector of that segment