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Geometry Chapter 1

Chapter 1 only

TermDefinition
Point A dot in space. A location with no dimension.
Line A connected straight path. It has no thickness and continues forever.
Plane A flat surface. It has no thickness but goes on forever.
Line Segment A line but it is bounded by two points. It has no thickness.
Ray A line with a fixed starting point but has no endpoint.
Parallel Two lines that don't intersect on the same plane.
Coplanar Two points on the same plane.
Collinear Two points on the same line.
Postulate A statement believed true without a proof.
Segment Addition Postulate Let A, B and C be 3 collinear points If B is between A&C, then AB+BC= AC
Distance Formula d=√((x_2-x_1)²+(y_2-y_1)²)
Midpoint The point that divides the line segment into two segments of the same length.
Segment Bisector Any line ray or segment that passes through midpoint.
Midpoint Formula (x₁ + x₂)/2, (y₁ + y₂)/2
Angle A figure formed by two rays.
Vertex Common endpoint of angle.
Degrees Common measurement unit for circular arcs
Acute Angle An angle that is more than 0 degrees but less than 90.
Right Angle An angle that is equal to 90 degrees.
Obtuse Angle An angle that is more than 90 degrees but less than 180.
Angle Bisector A ray that divides an angle into 2 angles of the same measure.
Angle Addition Postulate If point A is in the interior of ∠ SYR then m ∠SYR= m ∠SYA + m ∠RYA
Transformation A function that changes position, size, or shape of a figure.
Image Image after the change
Preimage Image before the change.
Rigid motion Move shape without changing size or shape (translation, reflection, rotation)
Conjecture A statement believed to be true.
Inductive reasoning A type of reasoning that uses specific cases to make a rule of belief that is true.
Deductive Reasoning The process of using logic to prove all cases are true.
Theorem A statement that you can prove using a series of logical steps.
Counterexample An example that shows a conjecture to be false.
Addition Property of Equality If a=b then a + c = b + c
Subtraction Property of Equality If a=b then a - c = b - c
Multiplication Property of Equality If a=b then ac = bc
Division Property of Equality If a=b then a/c=b/c, c can't be 0
Reflexive Property of Equality A number is always equal to itself, a = a
Symmetric Property of Equality If a=b then b = a
Transitive Property of Equality If a=b and b=c then a=c
Substitution Property of Equality If a=b then you can substitute b in for a in any expression
Linear Pair Theorem If two angles form a linear pair, then the measures of the angles add up to 180 degrees.
Created by: user-1713614
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