8.5 Kites & Trapezoids Proving Kite Properties
Kite Non-vertex Angles Thm The non-vertex angles of a kite are congruent. Kite Angle Bisector Thm The vertex angles of a kite are bisected by a diagonal. Kite Diagonals Thm The diagonals of a kite are perpendicular. Kite Diagonal Bisector Thm The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal. Proving Trapezoid Properties
Trapezoid Consecutive Angles Thm The consecutive angles between the bases of a trapezoid are supplementary. Isosceles Trapezoid Thm The base angles of an isosceles trapezoid are congruent. Converse Isosceles Trapezoid Diagonals Thm A trapezoid is isosceles if and only if its diagonals are congruent. Examples (Discovering Geometry by Serra)
3 6 12 Determine the perimeter. 1. z 2. Examples (Discovering Geometry by Serra)
4. 3. Exercises (p. 540, Larson) Midsegments 5.1 of a Triangle 8.5 of a Trapezoid The 3 midsegments of a triangle divide it into 4 congruent triangles. Examples (p.297, Larson) Exercises (Discovering Geometry by Serra)
12 z 2. 1. 3. 4. 5. Exercises (Discovering Geometry by Serra)
6. 8. 7. Exercises (p.540, Larson) In Summary (pp.544 - 549, Larson) In Summary (pp.544 - 549, Larson) In Summary (pp.544 - 549, Larson) In Summary (pp.544 - 549, Larson) In Summary (pp.544 - 549, Larson) In Summary (pp.544 - 549, Larson) In Summary (pp.544 - 549, Larson) In Summary (pp.544 - 549, Larson) In Summary (pp.544 - 549, Larson)