Angle Unit Definition Packet

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1 ngle Unit Definition Packet Name lock Date Term Definition Notes Sketch djacent ngles Two angles with a coon, a coon you normay name and, and no coon interior points and 4 Vertical ngles Two angles whose are rays. you normay name 4 and 3 and 4 3 Complementary ngles Two angles whose measures have a sum of. Each angle is caed the of the other. you normay name Can be adjacent or separate. e sure to indicate angles add up to = = 90

2 Supplementary ngles Two angles whose measures have a sum of. Each angle is caed the of the other. you normay name Can be adjacent or separate. e sure to indicate angles add up to = = 80 pair of angles whose non-coon Linear Pair sides are rays. The angles of a linear pair form you normay name and are a linear pair a angle. Scalene Triangle triangle that has congruent sides. When sketching a scalene triangle, be sure to use numbers to indicate that the sides are different lengths. (not tick marks). 5 cm 5 cm 0 cm

3 Isosceles Triangle triangle that has congruent sides. The two congruent sides are caed legs the third side is caed the base. The vertex angle is where the two legs intersect. The other two angles are caed the base They wi always be across from the congruent sides. e sure to include tick marks or measures of the sides to show which sides are congruent. Equilateral Triangle triangle whose sides are congruent equilateral triangles are isosceles triangles UT not a isosceles triangles are equilateral. When sketching be sure to include congruency tick marks on a 3 sides or side measurements Perpendicular Lines Two lines that intersect to form The symbol means is perpendicular to On a sketch we make the perpendicular mark on the sketch or write in that the measure of the angle is 90. D C line, segment, or ray that is Perpendicular isector of a Segment to the segment at its. On a sketch you must have the tick marks to show the midpoint ND the perpendicular symbol to show that it s a perpendicular bisector. C E D is the perpendicular bisector of CCCC. E is the midpoint of CCCC

4 Parael Lines lines that do not. On a sketch, we use chevrons to show that lines are parael. In a statement we use or // to show when lines are parael. C D // CCCC ; Skew Lines 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 that do NOT. When planes do intersect, they intersect in a line. Example: plane C and plane CF intersect at Plane C // plane EFG line that Transversal two or more lines at distinct points. It is a line so you would name it as a line Line l is the transversal

5 lternate Interior ngles angles that lie on opposite sides of the transversal. Name the angles as you would normal & 6 3 & 5 lternate Exterior ngles angles that lie on opposite sides of the transversal. Name the angles as you would normal 8 7 & 7 & 8 Same Side Interior ngles angles that lie on the side of the transversal. Name the angles as you would normal & 5 3 & 6

6 Corresponding ngles ngles that lie on the side of the transversal and in Name the angles as you would normal positions. & 5 3 & 7 & 6 4 & 8 n Postulate statement of. Conjecture reached by using inductive reasoning Like a hypotheses in science. Theorem that is. Counterexample n showing that a statement is. It only takes one counterexample to keep a conjecture from becoming a theorem. The statement obtained by Converse the hypothesis and conclusion of a conditional.

7 closed plane figure formed by or more segments. Each segment intersects exactly two other Each segment is caed a side. Each endpoint is caed a vertex. Polygon segments at their. No two segments with a coon endpoint are. To name a polygon, you start at one vertex and list the vertices in either clockwise or counterclockwise order. DO NOT SKIP ROUND! Examples of names: CDE CDE CDE DEC ECD EDC EDC EDC CED DCE segment that coects two Diagonal vertices. convex polygon has no with points Convex Polygon the polygon concave polygon has at least one Concave Polygon with points the polygon

8 Polygon Classifications Number of sides Classification Number of sides Classification 3 Triangle 8 Octagon 4 Quadrilateral 9 Nonagon 5 Pentagon 0 Decagon 6 Hexagon Undecagon 7 Heptagon Dodecagon n n-gon Term Definition Notes Sketch polygon with a Equilateral Polygon. On a sketch you must put tick marks or side lengths to show a sides are congruent. Equiangular Polygon polygon with a. On a sketch you must put tick marks or angle measures to show a angles are congruent. Regular Polygon polygon that is both and. 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.

Angle Unit Definitions

Angle Unit Definitions 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

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