geometry chapter 8
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22 terms
Terms | Definitions |
|---|---|
 Diagonal | segment in a polygon that joins two nonconsecutive vertices |
| Polygon Interior Angles Thm. | sum of the interior angles of a convex n-gon is (n-2)180 |
| Interior angles of a quadrilateral | sum of the angles of a quadrilateral is 360 |
| Polygon Exterior Angles Thm. | sum of the exterior angles of a convex polygon one angle at each vertex is 360 |
| Parallelogram | quadrilateral with both pairs of opposite sides parallel |
| Properties of Parallelograms | 1.Opposite sides are congruent 2.Opposite angles are congruent 3.Consecutive angles are supplementary 4.Diagonals bisect eachother |
| Ways to Prove a Quadrilateral is a Parallelogram | 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.Diagonals bisect eachother 5.One pair of opposite sides are congruent and parrallel |
| Rhombus | parallelagram with four congruent sides |
| Rectangle | parallelagram with four right angles |
| Square | parallelagram with four congruent sides and four right angles |
| Properties of a Rhombus | 1.all the properties of a parallelagram 2.sll sides congruent 3.diagonal bisects opposite congruent angles 4.diagonals perpendicular |
| Properties of a Rectangle | 1.all properties of a parallelagram 2.four right angles 3.diagonals are congruent |
| Properties of a Square | 1.All the properties of a parallelagram 2.All the properties of a rhombus 3.All the properties of a rectangle |
| Trapezoid | quadrilateral with exactly one pair of parallel sides |
| Isosceles Trapezoid | trapezoid with congruent legs |
| If a trapezoid is isosceles, then | each pair of base angles is congruent |
| If a trapezoid has a pair of congruent base angles, then | it is an isosceles trapezoid |
| A trapezoid is isosceles if and only if | its diagonals are congruent |
| Midsegment of a Trapezoid | segment that joins the midpoint of the legs |
| Midsegment Thm. for Trapezoids | the midsegment of a trapezoid is 1.parallel to each base 2.half the sum of the bases |
| Kite | quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent |
| Properties of a Kite | 1.diagonals perpendicular 2.one pair of opposite sides congruent |
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