ngle Unit Definitions Name lock Date Term Definition Notes Sketch D djacent ngles Two coplanar angles with a coon side, a coon vertex, and no coon interior points. Must be named with 3 letters OR numbers if provided C D & DC re djacent ngles 1 1 & re djacent ngles Vertical ngles Two angles whose sides are opposite rays Must be named with 3 letters or numbers if provided 1 3 4 1 & 3 are a pair of Vertical ngles & 4 are a pair of Vertical ngles Complementary ngles Two angles whose measures have a sum of 90 Could be adjacent angles OR they can be completely separate. e sure to give angle measures on a sketch that add up to 90 60 30 + = 90 1 1 + = 90 The complement to a 60 angle is 30. Supplementary ngles Two angles whose measures have a sum of 180 Could be adjacent angles OR they can be completely separate. e sure to give angle measures on a sketch that add up to 180 1 11 + = 111111 60 10 + = 111111 The supplement to a 60 angle is 10.
Linear Pair pair of adjacent angles whose noncoon sides are opposite rays. The angles of a linear pair form a straight angle ngles must be named with three letters or numbers if provided. Looks like a line with a ray sticking out of it. 1 D C D & DC are a linear pair 1 & are a linear pair Perpendicular Lines Two lines that intersect to form right angles In a statement we use the symbol to say when something is perpendicular In a sketch we use the right angle mark (little box) to show when something is perpendicular. C CCCC D Parael Lines Coplanar lines that do not intersect In a statement we use the symbol to indicate when lines are parael. On a sketch we use chevrons of the same number (the arrowheads) to indicate when lines are parael. Chevrons C D CCCC Skew Lines Non-coplanar; they are not parael and do not intersect There is no symbol to say that two lines are skew. You just have to write it out in a statement. and CCCC are skew lines
Parael Planes Planes that do NOT intersect When planes do intersect, they intersect in a line. Example: plane C and plane CF intersect at Plane C // plane EFG Transversal line that intersects two or more coplanar lines at distinct points. It is a line so you would name it as a line. Line l is the transversal lternate Interior ngles Nonadjacent interior angles that lie on opposite sides of the transversal. Named in pairs. Name the angles as you would normal angles. 5 4 3 6 4 & 6 3 & 5 Same Side Interior ngles Interior angles that lie on the same side of the transversal. Named in pairs. Name the angles as you would normal angles. 5 4 3 6 4 & 5 3 & 6
lternate Exterior ngles Nonadjacent exterior angles that lie on opposite sides of the transversal. Named in pairs. Name the angles as you would normal angles. 1 8 7 1 & 7 & 8 Corresponding ngles ngles that lie on the same side of the transversal and in corresponding positions. Named in pairs. Name the angles as you would normal angles. 1 4 3 5 6 8 7 1 & 5 3 & 7 & 6 4 & 8 Postulate n accepted statement of fact Conjecture conclusion reached by using inductive reasoning Like a hypotheses in science. Theorem conjecture that is proven. Counterexample n example showing that a statement is false. It only takes one counterexample to keep a conjecture from becoming a theorem. Converse The statement obtained by reversing the hypothesis and conclusion of a conditional
Scalene Triangle triangle that has no congruent sides. When sketching a scalene triangle, be sure to use numbers to indicate that the sides are different lengths. (not tick marks). 6 cm 8 cm 10 cm The two congruent sides are caed legs the third side is caed the base. The vertex angle is where the two legs intersect. Vertex ngle Isosceles Triangle triangle that has at least two congruent sides. The other two angles are caed the base angles. They wi always be across from the congruent sides. Legs ase e sure to include tick marks or measures of the sides to show which sides are congruent. ase ngles Equilateral Triangle triangle whose sides are a congruent to show tick marks or lengths of sides. equilateral triangles are isosceles triangles UT not a isosceles triangles are equilateral. cute Triangle triangle that has a acute angles. to either make a angles look obviously less than 90 or write in angle measures that are a less than 90 and the three add up to 180. 60 85 35 Right Triangle triangle with one right angle. to either include the 90 mark or write in 90.
Obtuse Triangle triangle that has one obtuse angle. to either make the obtuse angle look obviously more than 90 or write in an angle measure that is more than 90 and less than 180. 10 Polygon Equilateral Polygon Equiangular Polygon Regular Polygon closed plane figure formed by 3 or more segments. Each segment intersects exactly other segments at their endpoints. No segments with a coon endpoint are coinear. polygon with a sides congruent polygon with a angles congruent polygon that is both equiangular and equilateral Each segment is caed a side. Each endpoint is caed a vertex. To name a polygon, you start at one vertex and list the vertices in either clockwise or counterclockwise order. DO NOT SKIP ROUND! The number of letters in the name also tes you how many sides the polygon has. On a sketch you must put tick marks or side lengths to show a sides are congruent. On a sketch you must put tick marks or angle measures to show a angles are congruent. On a sketch you must put tick marks or side lengths on a the sides to show sides are congruent ND put tick marks or angle measures for the angles to show a angles are congruent. Examples of names: CDE CDE CDE DEC ECD EDC EDC EDC CED DCE Diagonal segment that coects two nonconsecutive vertices.
Convex Polygon polygon that has no diagonals with points outside the polygon Concave Polygon polygon that has at least one diagonals with points outside the polygon The whole diagonal does not have to be outside of the polygon. It could be a or it could be part of it. Coon Polygon Classifications Number of sides Classification Number of sides Classification 3 Triangle 8 Octagon 4 Quadrilateral 9 Nonagon 5 Pentagon 10 Decagon 6 Hexagon 11 Undecagon 7 Heptagon 1 Dodecagon n n-gon Quadrilaterals Paraelogram quadrilateral with two pairs of parael sides. sides are parael with each other. Do not put extra marks on the sketch. Rectangle n equiangular quadrilateral angles are a congruent with either the 90 mark, 90 written for each angle or tick marks on the angles. Do not put extra marks on the sketch.
Rhombus n equilateral quadrilateral. sides are a congruent with either tick marks on the sides or measures for the side lengths. Do not put extra marks on the sketch. Square regular quadrilateral. to show the sides are a congruent with either tick marks on the sides or measures for the side lengths ND show the angles are a congruent with either the 90 mark, 90 written for each angle or tick marks on the angles. Do not put extra marks on the sketch. Kite quadrilateral with two pairs of consecutive sides that are congruent and no opposite sides congruent. sides are congruent with either tick marks on the sides or measures for the side lengths. Do not put extra marks on the sketch. Trapezoid quadrilateral with exactly one pair of parael sides. sides are parael with each other. Do not put extra marks on the sketch. Trapezoid Isosceles Trapezoid