Geo Chap 8.1-8.3 Flashcards

0
Q

Polygon Exterior Angles Theorem

A

The sum of the measures of the exterior angles of a convex polygon is 360

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1
Q

Polygon Interior Angles Theorem

A

The sum of the measures of the interior angles of a convex n-gob is (n-2) x 180

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2
Q

Parallelogram

A

A quadrilateral with both pairs of opposite sides parallel

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3
Q

Theorem 8.3 Congruent Sides

A

If a quadrilateral is a parallelogram, then it’s opposite sides are congruent

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4
Q

Theorem 8.4 Opposite Angles

A

If a quadrilateral is a parallelogram, then it’s opposite angles are congruent

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5
Q

Theorem 8.5 Supplementary Consecutive Angles

A

If a quadrilateral is a parallelogram, then it’s consecutive angles are supplementary

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6
Q

Theorem 8.6 Diagonals Bisect

A

If a quadrilateral is a parallelogram, then it’s diagonals bisect each other

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7
Q

Theorem 8.7

A

If both sides of opposite sides of a quadrilateral are congruent, then it’s a parallelogram

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8
Q

Theorem 8.8

A

If both pairs of opposite angles of a quadrilateral are congruent, then it’s a parallelogram

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9
Q

Theorem 8.9 Congruent and Parallel

A

If one pair of opposite sides of the quadrilateral are congruent and parallel, then it’s a parallelogram

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10
Q

Theorem 8.10

A

If the diagonals of a quadrilateral bisect each other, then it’s a parallelogram

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11
Q

5 ways to prove a quadrilateral is a parallelogram

A

1) Both pairs of opposite sides are parallel
2) Both pairs of opposite sides are congruent
3) Both pairs of opposite angles are congruent
4) One pair of opposite sides are congruent and parallel
5) The diagonals bisect each other

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