Points, Lines, & Planes
What is a point?
A precise location in space or on a plane with zero size, shape, or dimension, acting as a fundamental building block for shapes.
What is the length of a segment?
The measure of the space between two endpoints.
What is a segment bisector?
A line, ray, or segment that cuts another segment into two congruent parts.
What is 12 units?
On a number line, the distance between -5 and 7.
What is a conjecture?
A conclusion reached using patterns or observations.
What is a plane?
A flat surface that extends endlessly in all directions.
What is the midpoint?
A point that divides a segment into two equal parts.
What are x-values and y-values?
The midpoint formula averages these two coordinate types.
What is 6 units?
The distance between points (3, 4) and (3, 10).
What is “If ___, then ___”?
A conditional statement has this form.
What are parallel lines?
Two lines that never intersect and lie in the same plane.
What is a perpendicular segment?
A segment with one endpoint on a line and the other outside the line, forming a right angle.
What is (6, 6)?
Midpoint of the segment connecting (2, 8) and (10, 4).
What is the Pythagorean Theorem?
The distance formula is derived from this theorem.
What is a counterexample?
A statement that proves a conjecture false.
What are collinear points?
Points that are on the same line.
What is the Segment Addition Postulate?
The statement “AB + BC = AC” illustrates this property of segments.
What is the midpoint?
The point that is equidistant from both endpoints of a segment.
What is (𝑥2−𝑥1)2+(𝑦2𝑦1)2(x2−x1)2+(y2−y1)2?
The formula for distance between points.
What is a biconditional?
A statement that is true both forward and backward.
What is an angle?
A figure formed by two rays with the same endpoint.
What is a compass?
A tool used to compare or replicate lengths of segments.
What is a perpendicular bisector?
A bisector that meets the segment at a right angle.
What is 10 units?
The distance from the origin to the point (–8, 6).
What is deductive reasoning?
Reasoning that uses facts, definitions, and laws of logic to reach a conclusion.