1 / 17

GEOMETRY: Chapter 6

GEOMETRY: Chapter 6. 6.5: Use Properties of Trapezoids and Kites. A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides are the bases . A trapezoid has two pairs of base angles . The nonparallel sides are the legs of the trapezoid.

renee-donaldson
Download Presentation

GEOMETRY: Chapter 6

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. GEOMETRY: Chapter 6 6.5: Use Properties of Trapezoids and Kites

  2. A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides are the bases. A trapezoid has two pairs of base angles. The nonparallel sides are the legs of the trapezoid. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 542.

  3. If a trapezoid is isosceles, then each pair of base angles is congruent. Theorem 6.14 Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 543.

  4. Theorem 6.15 If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 543.

  5. Theorem 6.16 A trapezoid is isosceles if and only if its diagonals are congruent. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 543.

  6. Ex.1: Show that XYZW is a trapezoid. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 543.

  7. Ex.1: Show that XYZW is a trapezoid. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 543.

  8. Ex. 2: The top of the table in the diagram is an isosceles trapezoid. Find the measures of angle N, angle O, and angle P. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 543.

  9. Ex. 2: The top of the table in the diagram is an isosceles trapezoid. Find the measures of angle N, angle O, and angle P. Answer: 1150, 1150, 65o Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 543.

  10. Theorem 6.17 Midsegment Theorem for Trapezoids The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 544.

  11. Ex. 3: In the diagram, segment HK is the midsegment of trapezoid DEFG. Find HK. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 544.

  12. Ex. 3: In the diagram, segment HK is the midsegment of trapezoid DEFG. Find HK. Answer: 12 cm Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 544.

  13. Theorem 6.18: If a quadrilateral is a kite, then its diagonals are perpendicular. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 545.

  14. Theorem 6.19 If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 545.

  15. Ex. 4: Find the measure of angle C in the kite shown. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 544.

  16. Ex. 4: Find the measure of angle C in the kite shown. Answer: 68o Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 544.

  17. 6.5, p. 359

More Related