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Geometry Notes Types of Angles 1. Acute- less than 90° 2. Obtuse- more than 90 ° 3. Right- exactly 90° 4. Straight- exactly 180° Triangles (classified by sides) (always classify by sides unless directions ask otherwise) 1. Equilateral: All sides are congruent (equal length) All angles are congruent (equal degree measurement- 60°) 3 lines of symmetry 2. Isosceles: 2 sides are congruent (equal length) 2 angles are congruent (equal degree measurement) 1 line of symmetry 3. Scalene: No sides are congruent (no equal lengths) No angles are congruent (no equal degree measurements) No lines of symmetry Triangles (classified by sides angles) (only classify by angles if directions ask you to) 1. Right: One 90° angle 2. Acute: Three acute angles (all less than 90°) 3. Obtuse: One obtuse angle (more than 90°) You can never have more than one obtuse angle in a triangle Quadrilaterals (all of the following shapes are quadrilaterals; these shapes have four sides) 1. Parallelogram: Opposite sides are parallel Opposite sides are congruent (equal length) Opposite angles are congruent (equal angle measurements) 2. Rectangle: Four right angles (all angles measure 90°) Parallelogram 3. Square: All four sides are congruent (equal lengths) Four right angles (all angles measure 90°) Rectangle Parallelogram 4. Rhombus: Opposite angles are congruent (equal angle measures) All sides are congruent (equal lengths) Parallelogram May be a square 5. Trapezoid: One pair of parallel lines 6. Kite: 2 pairs of congruent sides No parallel lines Polygons (Shapes with 3 or more straight sides that meet) Regular polygons: all sides and angles are congruent; these are the shapes we are used to seeing 1. Triangle 3 sides 6. Octagon 8 sides 2. Quadrilateral 4 sides 7. Nonagon 9 sides 3. Pentagon 5 sides 8. Decagon 10 sides 4. Hexagon 6 sides 9. Undecagon 11 sides 5. Heptagon 7 sides 10. Dodecagon 12 sides