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Geometry Notes I. II. III. IV. Terms we need to know for Geometry a. Plane Figures- A flat 2 dimensional figure i. Example: Show examples b. Congruent- means equal in length or degree i. Examples drawings. Also show the symbols for congruencies. c. Parallel- two or more lines on the same plane that never touch. i. Show the symbol for parallel. d. Right angle- A 90 degree angle. i. Show symbol for right angle. e. Regular Figure- Any plane figure that all sides are congruent and all angles are congruent. i. Example: Show example Angles- Angles are measured in degrees. a. Right Angle- A 90 degree angle b. Obtuse angle- An angle greater than 90 degrees c. Acute angle- An angle less that 90 degrees Polygons- to be a polygon a figure must have the following traits: a. Have at least three sides b. All sides are straight c. The figure must be closed. d. All polygons are named by the number of sides they have. i. Triangle- A three sided polygon ii. Quadrilateral- A four sided polygon iii. Pentagon- a five sided polygon. iv. Hexagon- A six sided Polygon v. Octagon- An eight sided Polygon vi. Decagon- A ten sided Polygon. Triangles- We identify triangles two ways. a. We identify triangles by number of congruent sides. i. Equilateral triangle- All sides of the triangle are Congruent. ii. Isosceles Triangle- Two sides of the triangle are equal. iii. Scalene triangle- No sides of a triangle are congruent. b. We identify triangles by there interior angles. Interior means angles inside the triangle. i. Right triangle- One of the three angles is a right angle. ii. Acute Triangle- all three angles in the triangle are less than 90 degrees. iii. Obtuse Triangle- One of the angles is greater than 90 degrees. c. We can put both together to get the following types of triangles. i. Right Scalene Triangle- Has a right angle and no sides are congruent ii. Right Isosceles triangle- A right angle and two sides are congruent. iii. Can we have a Right Equilateral triangle?- NO V. iv. Obtuse Scalene Triangle- One angle greater than 90 degrees and sides are congruent. v. Obtuse Isosceles triangle- One angle greater than 90 degrees and no sides are congruent. vi. Can we have an Obtuse Equilateral triangle- NO vii. Acute Equilateral triangle- all angles are equal and all sides are congruent. viii. Can we have an Acute Scalene triangle- Yes ix. Can we have an Acute Isosceles Triangle – Yes d. Important fact about Triangles to make the above easier to remember.i. If two angles are congruent the sides opposite them must be congruent. Quadrilaterals- Any 4 sided polygon a. Types of Quadrilateralsi. A trapezoid1. One pair of opposite sides has to be parallel. ii. A Parallelogram1. Opposite sides are Parallel 2. Opposite angles are congruent iii. A Rhombus1. Opposite sides are Parallel 2. Opposite angles are congruent 3. All sides are congruent. iv. A Rectangle1. Opposite sides are Parallel 2. All angles are 90 degrees v. A Square1. Opposite sides are Parallel 2. All angles are 90 degrees 3. All sides are congruent