Geometry study guide for friday 12/19/25

for study :)

VAT

If two angles are vertical angles then they are congruent

PAIA

If two lines are parallel then the alternate interior angles are congruent

PCA

If two lines are parallel, then the corresponding angles are congruent

Angle bisector

If a ray bisects an angle, then it cuts into two congruent angles

Reflective

If two triangles share an angle or side then it is congruent to itself

Perpendicular

If two lines are perpendicular then it creates right angles and they are congruent

Midpoint

The midpoint of a segment creates two congruent segments

BAT

If two sides of a triangle are congruent then those base angles are congruent

CST

If two angles are supplementary to the same angle then they are congruent

CPCTC

Corresponding parts of congruent triangles are congruent

Five ways to prove triangles congruent

SSS, SAS, ASA, AAS, HL

Two ways that can't prove triangles congruent

AAA, ASS

SSS

Three sets of corresponding sides are congruent

SAS

Two sets of sides and a between angle

ASA

Two sets of angles and a between side

AAS

Two sets of angles and a non between side

HL

Right angle with a hypotenuse and leg