geometry final

Negation

Opposite of a statement

Conjunction

Both must be true
“I’m tall AND fast”

Disjunction

least one is true
“I’m tall OR fast”

Converse

Flip it
If P → Q becomes If Q → P

Inverse

Negate both
If not P → not Q

Contrapositive

Flip + negate (IMPORTANT)
If not Q → not P

Biconditional

“if and only if”
P ↔ Q (they go both ways)

Transversal

Line cutting across

Alternate Interior

Inside, opposite sides → equal

Alternate Exterior

Outside, opposite → equal

Consecutive Interior

Same side → add to 180°

Corresponding

Same position → equal

Vertical Angles

Across from each other → equal

Linear Pair

Straight line → add to 180°

Complementary

Add to 90°

Supplementary

Add to 180°

Translation

Slide around

Dilation

Resize

Isosceles

2 equal sides

Vertex Angle

Top angle

Base Angle

Bottom angles

Legs

Equal sides

Base

Bottom side

Equilateral

ALL equal

Reflexive Property

it’s itself

Proportional

Same shape, different size
Sides have same ratio

Hypotenuse

Longest side (across from 90°)

Regular Polygon

All sides + angles equal

Perpendicular

90° angle

Central Angle

Angle at center

Inscribed Angle

Angle on edge

Circumference

Distance around

Surface area

Outside area

Lateral Area

Sides only (no top/bottom)