Geometry Unit 6 Test Review

Vocabulary-

  • Polygon: a) a closed plane figure with at least 3 sides that are segments. (b) each segment intersects exactly two other segments at their endpoints

  • Regular Polygon: a polygon with all sides and angles equal

  • Irregular Polygon: a polygon with sides and angles that are not all the same

  • Convex Polygon: a polygon with all the vertices pointing “out”.

  • Concave Polygon: a polygon with one or more vertices “caving in”.

  • Isosceles Triangle: a triangle with at least two sides of equal length

  • Parallelogram: a Quadrilateral where both pairs of opposite sides are parallel

Classifying a Polygon by the Number of Sides:

  • Triangle: 3 sides

  • Quadrilateral: 4 sides

  • Pentagon: 5 sides

  • Hexagon: 6 sides

  • Heptagon: 7 sides

  • Octagon: 8 sides

  • Nonagon: 9 sides

  • Decagon: 10 sides

  • Undecagon: 11 sides

  • Dodecagon: 12 sides

How to find the Value Chart:

To Find:

Interior ∠s

Exterior ∠s

Sum of all ∠s

(n - 2) 180

360

Each ∠ of a

Regular Polygon

(n - 2) 180/ n

360/n

Number of sides

Given ∠ sum

(n - 2) 180 = ∠ sum

N/A

Number of Sides

Given each ∠

(n - 2) 180/ n = each ∠

360/ n = each ∠

Theorems of a Parallelogram-

  • Opposite sides of a parallelogram are ≅

  • Opposite ∠s of a parallelogram are ≅

  • Consecutive ∠s of a parallelogram are supp.

  • Diagonals of a parallelogram bisect each other

  • One angle is supp. to both consecutive ∠s

  • Both pairs of opp. sides are parallel

  • One pair of opp. sides are both ll and congruent