PAP Geometry Module 1 Review Flashcards

Vocabulary and key term definitions covering Module 1 Geometry topics including basic elements, angle relationships, distance/midpoint formulas, and logical statements.

Coplanar

Points that lie on the same plane.

Plane

A flat surface that has no thickness and extends forever.

Line

A straight path that has no thickness and extends forever.

Point

A location that has no size.

Collinear

Points that lie on the same line.

Adjacent Angles

Two angles in the same plane with a common vertex and a common side.

Complementary Angles

Two angles whose measures have a sum of $90^\circ$.

Supplementary Angles

Two angles whose measures have a sum of $180^\circ$.

Angle Bisector

A ray that divides an angle into two congruent angles.

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite rays.

Intersection of Two Lines

A point where two lines cross.

Intersection of Two Planes

A line formed where two planes cross.

Intersection of a Line and a Plane

A single point where a line penetrates a plane.

Distance Formula

$$d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}$$

Midpoint Formula

$$MP = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$$

Converse Statement

A conditional statement formed by reversing the hypothesis and conclusion ($q \rightarrow p$).

Inverse Statement

A conditional statement formed by negating both the hypothesis and conclusion ($\sim p \rightarrow \sim q$).

Contrapositive Statement

A conditional statement formed by negating and reversing both the hypothesis and conclusion ($\sim q \rightarrow \sim p$).

Biconditional Statement

A statement combining a conditional statement and its converse using the phrase 'if and only if'.