Presentation

Geometry Section 6

• Theorem 6-1 Polygon Angle-Sum Theorem
• The sum of the measures of the interior angles of an n-gon is (n-2)180.
• Theorem 6-2 Polygon Exterior Angle-Sum Theorem
• The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.
• Theorem 6-3
• If a quadrilateral is a parallelogram, then its opposite sides are congruent.
• Theorem 6-4
• If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.
• Theorem 6-5
• If a quadrilateral is a parallelogram, then its opposite angles are congruent.
• Theorem 6-8
• If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
• Theorem 6-9
• If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram.

Geometry Vocabulary

• Rhombus- parallelogram with four congruent sides
• Rectangle- parallelogram with four right angles
• Square- parallelogram with four congruent sides and four right angles

Slide 3

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• Caption: Theorem 6-13
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