MATH REVIEWER

Consecutive Exterior = Supplementary

Consecutive Interior = Supplementary

Alternating Exterior = Congruent

Alternating Interior = Congruent

Diagonals bisect each other, dividing each other into equal parts.

Perpendicular = 2 lines that make 90 degree angles when intersecting.

DEFINITION AND PROPERTIES OF QUADRILATERALS

Quadrilateral is a polygon with four sides.
General Quadrilateral is a four sided polygon that has NO parallel sides.

PARALLELOGRAM = Has 2 pairs of parallel sides.

RECTANGLE = Has 4 right angles and the opposite sides are congruent.

SQUARE = Has 4 right angles and 4 equal sides.

RHOMBUS = A parallelogram with 4 equal sides, the opposite angles are congruent.

TRAPEZOID = One pair of parallel sides.
ISOSCELES TRAPEZOID = Pair of parallel sides, non-parallel is congruent.

KITE = 2 pairs of distinct sides that are congruent.

*A square can be a rhombus or a rectangle but a rhombus or a rectangle cannot be a square.

TRIANGLE CONGRUENCE POSTULATES

SSS = Side Side Side postulate, when 3 sides of 2 triangles are congruent

SAS = Side Angle Side postulate, when 2 sides and an included angle of 2 triangles are congruent

AAS = Angle Angle Side postulate, 2 angles and an NON-INCLUDED side are congruent

ASA = Angle Side Angle postulate, 2 angles and an INCLUDED side are congruent

CPCTC = Corresponding parts of corresponding triangles are congruent

RIGHT TRIANGLE THEOREMS

LL = Leg Leg Theorem, when 2 legs of 2 right triangles are congruent

LA = Leg Angle theorem, when the leg and acute angle of 2 triangles are congruent

HL = Hypotenuse Leg theorem, when the hypotenuse and leg of 2 right triangles are congruent

HA = Hypotenuse Angle theorem, when the hypotenuse and acute angle of 2 triangles are congruent

SIMILARITY POSTULATES

Similarity = Corresponding sides are proportional and corresponding angles are congruent.

AA = Angle Angle, When 2 corresponding angles are congruent

SSS = Side Side Side, When the lengths of all 3 sides of corresponding angles are proportional

SAS = Side Angle side, when 2 sides of corresponding triangles are proportional and 1 angle is congruent