Chapter 8 Quadrilaterals
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| polygon interior angles theorom | the sum of the measures of the interior angles of a convex n-gon is (n-2)X 180.
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| interior angles of a quad. thrm | the sum of the measures of the interior angles of a quad is 360.
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| polygon exterior angles thrm. | the sum of the measures of sthe exterior angles of a convex polygon, one angle at a vertex, is 360
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| 8.3 | if a quad is a parallelogram this its opp sides are congruent
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| 8.4 | if a quad is a parallelogram the its opp angles are congruent
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| 8.5 | if a quad us a parallelogram then its consecutive angles are supp
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| 8.6 | if a quad is a parallelogram then its diagonals bisect each other
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| 8.7 | if both pairs of opp sides of a quad are congruent then the quad is a parallelogram
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| 8.8 | if both pairs of opp angles of a quad are congruent then the quad is a parallelogram
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| 8.9 | if one pair of opp sides of a quad are congruent then the quad is a parallelogram
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| 8.10 | if the diagonals of a quad bisect each other the the quad is a parallelogram
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| rhombus corollary | a quad is a rhombus if and only if it has four congruent sides
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| rectangle corollary | a quad is a rectangle if and only if it has four right angles
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| square corollary | a quad is a square if and only if its a rhombus and a rectgangle
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| 8.11 | a parallelogram us a rhombus if and only if its diagonals are perpendicular
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| 8.12 | a parallelogram is a rhombus if and only if each diagonal bisects a pair of opp angles
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| 8.13 | a parallelogram is a rectangle if and only if its diagonals are congruent
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| 8.14 | if a trapezoid is isosceles, then each pair of base angles are congruent
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| 8.15 | if a trapezoid has a pair of congruent base angles, then its an isosceles trapezoid
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| 8.16 | a trapezoid is isosceles if and only if its diagonals are congruent
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| 8.17 | the midsegment of a trapezoid is parallel to each base and its length is one half the sume of its bases
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| 8.18 | if a quad is a kite, then its diagonals are perpendicular
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| 8.19 | if a quad is a kite, then exactly one pair of opp angles ar congruent
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