| A | B |
|---|
| Inductive Reasoning | making a prediction based on patterns |
| Conjecture | what inductive reasoning leads to |
| Conditional Statement | if one thing is true, something else will be true |
| Hypothesis | the "if" part of a conditional statement |
| Conclusion | the "then" part of a conditional statement |
| Countexample | statement that proves a conditional statement false |
| Collinear | points on the same line |
| Coplanar | points or lines that lie on the same plane |
| Intersect | if two figures have one point in common they |
| Parallel Lines | lines that lie in the same plane but do not intersect |
| Skew Lines | lines that do not intersect and are not parallel |
| Ray | a part of a line with one endpoint |
| Vertex | an endpoint of two rays |
| Bisector Angle | a ray or line that divides an angle into two congruent angles |
| Segment | a part of a line with two endpoints |
| Midpoint | divides a segment into two congruent segments |
| Reflect | to transform over a line or plane |
| Rotate | to transform around a given point |
| Translate | to transform a figure in a given direction |
| Image | a new figure after it has been transformed |
| Symmetry | if a figure coincides with its image after a transformation |
| Acute Angle | an angle with a measure below 90 degrees |
| Right Angle | a 90 degree angle |
| Obtuse Angle | an angle over 90 degrees |
| Straight Angle | an angle that is 180 degrees |
| Vertical Angles | angles that are opposite each other and are congruent |
| Linear Pair | two supplementary angles |
| Complement Angles | two angles that measure up to 90 degrees |
| Scalene Triangle | a triangle with no congruent sides |
| Isosceles Triangle | a triangle with two congruent sides |
| Equilateral Triangle | a triangle with three congruent sides |
| Equiangular Triangle | a triangle with three congruent angles |
| Acute Triangle | a triangle with three angles all measuring less than 90 degrees |
| Right Triangle | a triangle with one angle measuring 90 degrees |
| Obtuse Triangle | a triangle with one measure that is greater than 90 degrees |
| Triangle | a polygon with three sides |
| Quadrilateral | a polygon with four sides |
| Pentagon | a polygon with five sides |
| Hexagon | a polygon with six sides |
| Heptagon | a polygon with seven sides |
| Octagon | a polygon with eight sides |
| Nonagon | a polygon with nine sides |
| Decagon | a polygon with ten sides |
| N-Gon | a polygon with N number of sides |
| Equilateral Polygon | a polygon with all sides congruent |
| Equiangular Polygon | a polygon with all angles congruent |
| Regular Polygon | a polygon that is equiangular and equilateral |
| Concave Polygon | a polygon that when the imaginary line is connected, the line will be out of the polygon |
| Convex Polygon | a polygon in which no segment can be drawn outside of the polygon to connect two vertices |
| Consecutive Angles | two angles that share a side |
| Consecutive Sides | two sides that share a vertex |
| Prism | a three dimensional figure, with two congruent faces |
| Bases | faces of a prism |
| Lateral Faces | the other faces of a prism |
| Prism Vertices | connected by segments |
| Edges | segments |
| Rhombus | an equilateral parallelogram |
| Deductive Reasoning | using fats, definitions, and accepted properties in a logical order to reach a conclusion |
| Reflexive Property | A = A |
| Symmetric Property | if A = B, then B = A |
| Transitive Property | if A = B, and B = C, then A = C |
| Addition Property | if A = B, then A + C = B + C |
| Subtraction Property | if A = B, then A - C = B - C |
| Substitution Property | if A = B, then A can be substituted for B in an expression |
| Theorem | a conjecture that can be proved to be true |
| Paragraph Proof | a proof writtin in complete sentences |
| Exeterior Angle Theorem | the measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it |
| Vertical Angles Theorem | vertical angles are congruent |
| Converse Of A Conditional Statement | interchanging the hypothesis and the conclusion of a statement |
| Conditional Statement (if..then) | if P then Q |
| Inverse | if not P, then not Q |
| Converse | if Q, then P |
| Contrapositive | if not Q, then not P |
| Distance Formula | (square root of)[ (x2 - x 1) squared + (y2 - y1) squared] |
| Midpoint Formula | (x1 + x2 / 2) , (y1 + y2 /2 ) |
| Slope Formula | y2 - y1 divided by x2 - x1 |
| Slope Intercept | y=m(x) + b |
| Horizontal Line | no y coordinate |
| Vertical Line | no x coordinate |
| Circle | the set of all points in a plane that are equidistant from a given point |
| Center | the given point in a circle |
| Diamter | a line that runs across the whole circle from one point to another |
| Radius | half the diameter |
| Equation Of A Circle With Center (0,0) | x(squared) + y(squared) = r(squared) |
| Equation Of A Circle With Center (H,K) | (x - h)squared + (y - k) squared = r(squared) |
| Same Side Interior Angles (SSI) | angles that lie on the same side of a transversal between the two lines that it intersects |
| Alternate Interior Angles (AIA) | angles that lie on opposite sides of a transversal between the two lines that it intersects |
| Corresponding Angles (CA) | angles that lie on the same side of a transversal, in corresponding positions with respect to the two lines that it intersects |
| Transversal | a line that intersects two or more other lines the same plane at different lines |
| CA Postulate | if two parallel lines are intersected by a transversal, then the CA angles are congruent |
| AIA Theorem | if two parallel lines are intersected by a transversal, then alternate interior angles are congruent |
| SSI Theorem | if two parallel lines are cut by a transversal, then the same side interior angles are congruent |
| Parallel Postulate | through a point not on a given line, there is exactly one line parallel to the given line |
| Perpendicular Postulate | through a point not on a given line, there is exactly one line perpendicular to the given line |
| Converse of the SSI Theorem | if two lines are cut by a transversal and the same side interior angles are supplementary, then the two lines are parallel |
| Dual Perpendiculars Theorem | in ap lane, if two lines are perpindicular to a third line, then the two lines are parallel |
| Distance From A Point To A Line | the length of the perpendicular segment from the point to the line |
| Dual Parallels Theorem | if two lines are both paralell to a third line, then the two lines are parallel |
| Intersecting Planes Theorem | if two parallel planes are intersected by a third plane, then the lines of intersection are parallel |
| Parallel Planes Theorm | if two planes are both parallel to a third plane, then the two planes are parallel |
| Side Side Side Postulate (SSS) | if three sides of a triangle are congruent to three sides of another triangle, then the triangles are congruent |
| Side Angle Side Postulate (SAS) | if two sides an the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent |
| Angle Side Angle Postulate (ASA) | if two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent |
| Ange Angle Side Postulate (AAS) | if two angles and the non included side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent |
| Hypotenuse Leg Theorem (HL) | if the hypotenuse and a laf of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent |
| Perpendicular Bisector Theorem | if a point is on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment |
| Isosceles Triangle Theorem (ITT) | if two sides of a triangle are congruent, then the angles opposite the sides are congruent |
| Converse Of The ITT | if two angles of a triangle are congruent, then the sides opposite the angles are congruent |
| Median | a segment from a vertex to the midpoint of the opposite side |
| Altitude | a perpendicular segment from a vertex to the line that contains the opposite side |
