6-6 Trapezoids and Kites.ppt
- 1. Section 6-6 Spi.3.2.H Jim Smith JCHS
- 2. Trapezoids are quadrilaterals with exactly 1 pair of parallel sides Leg Leg Base Base A B C D Base Angles A + C = 180 B + D = 180 › ›
- 3. Isosceles Trapezoids Have Congruent Legs 1) Base Angles Are Congruent 2) Diagonals Are Congruent
- 4. The Endpoints Of The Median Of A Trapezoid Are The Midpoints Of The Legs Median
- 5. Median Median = ½ ( b1 + b2 ) or 2 Median = ( b1 + b2 ) or The Median Is The Average Of The 2 Bases b1 b2
- 6. 6 24 X 2X = 6 + 24 2X = 30 X = 15 X + 2 X + 20 4X + 32 2 ( X + 20 ) = X + 2 + 4X + 32 2X + 40 = 5X + 34 40 = 3X + 34 6 = 3X 2 = X median
- 7. Sometimes it’s helpful to know that 2 heights of a trapezoid form a rectangle. This can help us find the length of a base. If it’s an isosceles trapezoid, the triangles will also be congruent.
- 8. Kites Kites are quadrilaterals with exactly 2 pairs of consecutive congruent sides Opposite sides are NOT parallel or congruent.
- 9. Diagonals of a kite are perpendicular. Only one pair of opposite angles in a kite are congruent
- 10. Can you find Congruent triangles? What method did you use? ☺ ☺ ☻ ☻
- 11. If GHJK is a kite, find each measure. 1. Find m∠JRK. 2. If m∠GHJ = 90, find m∠HGJ. 3. If HJ = 7, find HG. 4. If GR = 5, find RJ. 5. If m∠GHJ = 96 and m∠GKJ = 52, find m∠HGK. G H J K R 1. 90° 2. 45° 3. 7 4. 5 5. 106°