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Geometry
January 31, 2017
6.1-3 QUIZ REVIEW
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Solve for x:
1. 4x + 40 + 3x = 180
2. 6x – 50 = 4x + 30
3. 5x – 6 = 2x
4. x + 55 + 2x – 15 = 180
Announcement
QUIZ WEDNESDAY
On 6.1, 6.2, 6.3
Today’s Objectives
1. Review and apply basic properties of
parallelograms
2. Review Polygon Angle Sum Theorem and
Exterior Angle Sum Theorem
Review: Parallelogram
Definition: A quadrilateral with two pairs of
parallel sides.
Review: Properties/tests of a parallelogram
1. Both pairs of opposite sides are congruent.
2. Both pairs of opposite angles are congruent.
3. Consecutive pairs of angles are
supplementary.
4. The diagonals bisect each other.
5. One pair of sides is parallel and congruent.
Properties 1-3
Properties 4-5
Practice
Review: Polygon Angle Sum Theorem
The sum of the interior angles:
𝑛 − 2 ⋅ 180°
Each interior angle of a regular polygon:
𝑛 − 2 ⋅ 180°
𝑛
Review: Exterior Angle Sum Theorem
The sum of the exterior angles:
360°
Each exterior angle of a regular polygon:
360°
𝑛
Practice