Proofs

Definitions, Theroy's, proving triangles Congurnt, CPCTC

Perpendicular 

Perpendicular lines are two lines which intersect to form a right angle.

Angle Bisectors

An angle bisector is a ray which divides an angle into two congruent angles.

Segment Bisector

A bisector of a line segment is a line  which passes through the midpoint and divides a segment into two congruent segments

Perpendicular Bisector 

divides a line segment into two congruent line segments AND forms congruent right angles

Midpoint

A midpoint of a line segment is a point which divides a segment into two congruent segments

Median

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side

Altitude

an altitude of a triangle is a line segment drawn from a vertex perpendicular to the opposite side.

Vertical Angles 

Intersecting lines form VA or intersecting lines form congruent VA

Transitive Property

Two geometric figures congruent to the same geometric figure are congruent to each other

Symmetric Property

A congruence may be expressed in either order.

Reflexive Property

Any geometric figure is congruent to it’s self 

Subtraction Postulate ( we have more than we need)

If congruent segments/Angles are subtracted from congruent segments/Angles the differences are congruent 

Addition Postulate ( we have less than we need)

If congruent segments/ Angles are added to congruent segments/Angles the sun is congruent 

Complementary Angles

two angles that equial to 90 degrees

Supplementary/Linaer Pairs

A pair of congruent seg/angles that equal 180

Parallel Lines

If two parallel lines are cut by a transversal that a pair of Parallel lines Theromes the angles are congrunent.

SAS

2 sides with angle in between them

When there is no more given’s we look for?

The Reflexive Property

ASA

2 angles with a side in between them

SSS

3 sides

AAS or SAA

2 angles and than a side 

HL

1 90 angle, 1 hypotheneous, 1 leg/ other side 

The methods that don’t work

ASS and AAA

ASS

The donkey therom, not to be confused for HL

AAA

3 angles

Getting the CPCTC

1) Prove Triangles are congruent by AAS, HL, SSS, ASA, SAS

2) Than state the CPCTC