SEGMENT ADDITION POSTULATE
This postulate states that if point B is between points A and C, then AB + BC equals this.
What is AC?
The point where two rays meet to form an angle.
What is the vertex?
This postulate states that if point D is in the interior of angle ABC, then the measure of angle ABC equals the sum of these two angles.
What are angles ABD and DBC?
Two angles whose measures add up to 90 degrees.
What are complementary angles?
This notation represents a line that extends infinitely in both directions through points A and B.
What is line AB (or AB with a double-headed arrow)?
If AB = 15 and BC = 23, and B is between A and C, then AC equals this length.
What is 38?
When naming an angle with three letters, this letter must always be in the middle.
What is the vertex?
If angle PQR = 85° and angle PQS = 40°, with S in the interior of angle PQR, then angle SQR measures this many degrees.
What is 45°?
Two angles whose measures add up to 180 degrees.
What are supplementary angles?
This notation represents a part of a line with two endpoints, A and B.
What is segment AB (or AB with a bar on top)?
If AC = 50 and AB = 18, with B between A and C, then BC equals this length.
What is 32?
If an angle is formed by rays AB and AC, this is one correct way to name the angle using three letters.
What is angle BAC (or angle CAB)?
If angle ABC = 120° and angle ABD = 75°, with D in the interior of angle ABC, then angle DBC measures this many degrees.
What is 45°?
Two angles that share a common vertex and a common side but have no interior points in common.
What are adjacent angles?
This notation represents a part of a line that has one endpoint at A and extends infinitely through point B.
What is ray AB (or AB with a single-headed arrow)?
This is the name for a point that divides a segment into two equal parts.
What is a midpoint?
This symbol is used to denote an angle when writing it mathematically.
What is ∠?
If ray QS bisects angle PQR, and angle PQR = 64°, then angle PQS measures this many degrees.
What is 32°?
The angles formed when two lines intersect; they are equal in measure and opposite each other.
What are vertical angles?
In geometric diagrams, this marking indicates that two segments have equal length.
What are tick marks (or hash marks)?
If M is the midpoint of segment PQ, and PM = 3x + 5, while PQ = 8x - 2, then x equals this value.
What is 3?
Besides using three letters or the vertex letter, angles can also be named using this marking.
What is a number (or arc marking)?
If angle XYZ = 4x + 10 and is bisected by ray YW, making angle XYW = 2x + 15, then x equals this value.
What is 10?
If two angles are complementary and one measures 37°, the other angle measures this many degrees.
What is 53°?
In geometric diagrams, this symbol placed at the vertex indicates a right angle.
What is a small square?