Geometry and Radical Simplification Review

Vocabulary flashcards covering core geometry topics including points, lines, planes, angle relationships, segment properties, distance, midpoint, and simplifying radicals.

Adjacent Angles

Two angles that are next to each other and share a common side.

Vertical Angles

Two angles across from each other on intersecting lines that are always congruent.

Complementary Angles

Any two angles whose sum is $90^\circ$.

Supplementary Angles

Any two angles whose sum is $180^\circ$.

Linear Pair

Two angles that are adjacent and supplementary, forming a straight line.

Segment Bisector

A line or line segment that divides a line segment into two equal parts, such that $AB = BC$.

Midpoint

A point that is exactly halfway between two points, calculated as the average of the x-coordinates and the average of the y-coordinates to produce an ordered pair.

Midpoint Formula

The mathematical formula $M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$ used to locate the point halfway between two endpoints.

Distance

The length or measure of a straight line segment, resulting in a single numerical value.

Distance Formula

The formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ used to find the measure of a straight line segment.

Multiplying Radicals

The mathematical operation of multiplying radical expressions together, such as $5\sqrt{15} \times -2\sqrt{20}$, before simplifying.

Dividing Radicals

The mathematical operation of dividing radical expressions, such as $\frac{\sqrt{15}}{\sqrt{5}}$, to simplify the quotient.