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A quadrilateral with 4 equal sides and 4 right angles.
Opposite sides are parallel. |
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A Quadrilateral with 4 sides and 4 right angles.
Opposite sides are parallel |
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| A polygon with 3 sides and 3 angles. |
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| A polygon made with a continuous line which is always the same distance from the center. |
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| A straight path that goes without end in two directions |
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| Part of a line that has one end point and goes in one direction without end. |
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| Part of a line with two end points. |
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| Two rays with the same end point. |
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| An angle that is 90 degrees (It makes a square in the corner). |
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| Line segments of a polygon. |
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| The point where two sides meet. (Shared end points of the line segments of a polygon.) |
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| A polygon with 4 sides and 4 angles. |
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| A quadrilateral (4 sides & 4 angles) where opposites sides are parallel. (ie: Rectangle, square, rhombus, & diamond are parallograms) |
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| A quadrilateral (4 sides & 4 angles) with one pair of parallel sides. |
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| a parallelogram with four equal sides and equal opposite angles. |
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| A triangle that has 3 equal sides. |
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| A triangle that has 2 equal sides. |
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| A triangle that has one right angle. It can also be an isosceles or scalene triangle. |
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| A triangle that has no equal sides. All 3 sides are different lengths. |
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| A plane figure with the same size and shape. |
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| A plane figure that can be folded along a line so the two parts match. |
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| The line that divides two matching parts. It can be vertical, horizontal, or diagonal. |
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| The distance around the figure. |
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| The size a surface takes up, measured in square units. |
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| A solid shape that has: 6 faces (4 rectangles & 2 squares), 8 vertices (corners), and 12 equal edges. |
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| A solid shape that has: 6 square faces all equal in size, 8 vertices (corners), and 12 equal edges. |
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| A solid shape that is perfectly round like a ball. No faces, edges, or vertices. |
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| A solid shape with a circular base and a curved surface that come to a point (vertex). |
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| A solid shape with one curved surface and two congruent circular bases. |
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| A solid shape with a polygon as a base and triangular faces that come to a point (vertex or apex) |
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| The amount of space occupied by a 3D object, measured in cubic units. |
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| The flat surface of a 3D shape. |
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| Where two surfaces join (intersect). |
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| A flat closed shape having only 2 dimensions. |
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| A flat figure that can be closed or not closed. |
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A dot that specifies only location; it has no length, width, or depth. We usually represent a it with a dot on paper, but the dot we make has some dimension, while a true point has dimension 0.
. B (point B) |
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| Two lines that intersect to form right angles |
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| Angles formed by parallel lines |
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| A transformation where a figure is mirrored across a line. |
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| A transformation where a figure rotates around a point P. |
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| A translation where all the points on a figure move in the same direction. |
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| The process of reasoning that something is true. |
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| A statement that you believe to be true based on inductive reasoning. |
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| A fact that proves a conjecture wrong. |
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| A statement written in the form "if p, then q." |
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| The part "p" of a conditional statement. |
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| The part "q" of a conditional statement. |
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| Shows if a conditional statement is true or false. |
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| Is "not p" the negative value of p. |
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| Formed by swapping the hypothesis and the conclusion. |
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| Formed by negating the hypothesis and the conclusion. |
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| Formed by both negating and swapping the hypothesis and the conclusion. |
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| Logically Equivalent Statements |
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| Related conditional statements that have the same truth value as each other. |
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| Process of using logic to draw conclusions from what ever is given. |
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| The law which states that p q is true if p is true and q is true. |
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| The law which states if p q is true, and q r is true, the p r is true. |
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| A statement that is written as "p if and only is q." |
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| A statement that describes a mathematical object. |
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| A closed figure formed by three or more line segments. |
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| An argument that uses logic to prove a point. |
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| Addition Property of Equality |
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Definition
| If a = b, then a + c = b + c. |
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| Subtraction Property of Equality |
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Definition
| If a = b, then a - c = b - c. |
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| Multiplication Property of Equality |
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Definition
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| Division Property of Equality |
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Definition
| If a = b and c ≠ 0, then a/c = b/c. |
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| Reflexive Property of Equality |
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Definition
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| Symmetrical Property of Equality |
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Definition
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| Transitive Property of Equality |
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Definition
| If a = b and b = c, then a = c. |
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| Substitution Property of Equality |
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Definition
| If a = b then b can be substituted for a in any expression.Reflexive Property of Congruence |
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| Reflexive Property of Congruence |
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Definition
| Line segment EF ≅ Line segmentEF. |
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| Symmetrical Property of Congruence |
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Definition
| If angle 1 ≅ angle 2, then angle 2 ≅ angle 1. |
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| Transitive Property of Congruence |
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Definition
| If PQ ≅ RS and RS ≅ TU, then PQ ≅ TU. |
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Definition
| Any statement that you can prove. |
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Definition
| A diagram where you write the proof on the left side on the left side and the matching reasons on the right side. |
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Definition
| If two angles are a linear pair, then they are congruent. |
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| Congruent Supplements Theorem |
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Definition
| If two angles are supplementary to the same angle, then the two angles are congruent. |
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| Right Angle Congruence Theorem |
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Definition
| All right angles are congruent. |
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| Congruent Complements Theorem |
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Definition
| If two angles are complementary to the same angle, then the two angles are congruent. |
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Definition
| A proof system that uses boxes and arrows to show the flow of the proof. |
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Definition
| A proof system that presents the steps of the proof in writing. |
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Definition
| The theorem which states that for four points are collinear and the two points on either end are congruent, then the one from one end to the middle most one on the other end is the same as the other way around. |
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Definition
| The theorem which states that vertical angles are congruent. |
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| Supplementary Congruent Angles Theorem |
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Definition
| The theorem which states that if two congruent angles are supplementary then they must be right angles. |
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Definition
| Lines that are coplanar and do not intersect. |
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Term
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Definition
| Lines that intersect at 90 degree angles. |
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Definition
| Lines that are not coplanar. |
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| Planes that do not intersect. |
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Definition
| The line that intersects to other lines to make eight angles. |
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Definition
| Angles that lie on the same side of the transversal. |
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| Alternate Interior Angles |
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Definition
| Nonadjacent angles that lie on opposite sides of the transversal, between the two other lines. |
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| Alternate Exterior Angles |
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Definition
| Nonadjacent angles that lie on opposite sides of the transversal, outside the two other lines. |
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| Same-Side Interior Angles |
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Definition
| Two angles on the same side of the transversal and both on the interior of the two other lines. |
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Term
| Corresponding Angles Postulate |
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Definition
| If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. |
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| Alternate Interior Angles Theorem |
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Definition
| If two parallel lines are cut by a transversal, then the two pairs of alternate interior angles are congruent. |
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| Alternate Exterior Angles Theorem |
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Definition
| If two parallel lines are cut by a transversal, then the two pairs of alternate exterior angles are congruent. |
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| Same-Side Interior Angles Theorem |
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Definition
| If two parallel lines are cut by a transversal, then the two pairs of same-side interior angles are supplementary. |
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| Converse of the Corresponding Angles Postulate |
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Definition
| If two coplanar lines are cut by a transversal so a pair of corresponding angles are congruent, then the two lines are parallel. |
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Definition
| Through a point P is not on line l, there is one line parallel to l. |
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Term
| Converse of the Alternate Interior Angles Theorem |
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Definition
| If two coplanar lines are cu by a transversal so that a pair of alternate interior angles are congruent, then the two lines are parallel. |
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| Converse of the Alternate Exterior Angles Theorem |
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Definition
| If two coplanar lines are cu by a transversal so that a pair of alternate exterior angles are congruent, then the two lines are parallel. |
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| Converse of the Same-Side Interior Angles Theorem |
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Definition
| If two coplanar lines are cu by a transversal so that a pair of same-side interior angles are supplementary, then the two lines are parallel. |
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