1 / 18

Trapezoids and Kites

Trapezoids and Kites. Notes 24 – Section 6.6. Essential Learnings. Students will understand and be able to recognize and apply the properties of trapezoids and kites. Trapezoid. A trapezoid is a quadrilateral with exactly one pair of parallel sides. Base. Leg. Leg. Base.

knoton
Download Presentation

Trapezoids and Kites

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. Trapezoids and Kites Notes 24 – Section 6.6

  2. Essential Learnings • Students will understand and be able to recognize and apply the properties of trapezoids and kites.

  3. Trapezoid • A trapezoid is a quadrilateral with exactly one pair of parallel sides. Base Leg Leg Base

  4. Isosceles Trapezoid • If the legs of a trapezoid are congruent then it is an isosceles trapezoid. Base Leg Leg Base

  5. Isosceles Trapezoids • If a trapezoid is isosceles, then each pair of base angles is congruent. A B D C

  6. Isosceles Trapezoids • If a trapezoid has one pair of congruent base angles, then it is an isosceles trapezoid. A B D C

  7. Isosceles Trapezoids • A trapezoid is isosceles if and only if its diagonals are congruent. A B D C

  8. Example 1 JKLM is an isosceles trapezoid. Find m∠K and x. J K 2x 14 112º L M

  9. Midsegment of a Trapezoid • The midsegment of a trapezoid is a segment that connects the midpoints of the legs of the trapezoid.

  10. Trapezoid Midsegment Theorem • The midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases. x m y

  11. Example 2 For trapezoid JKLM, P and Q are midpoints of the legs. If JK = 18 and PQ = 28, find LM. J K P Q M L

  12. Kite • A kite is a quadrilateral with exactly two pairs of consecutive congruent sides.

  13. Kites • If a quadrilateral is a kite, then its diagonals are perpendicular. • One diagonal is bisected. B A C D

  14. Kites • If a quadrilateral is a kite, then exactly one pair of opposite angles is congruent.

  15. Example 3 If WXYZ is a kite, find m∠XYZ. W Z 48º 110º X Y

  16. Example 4 If MNPQ is a kite, find NP. P 4 N Q 7 11 M

  17. Example 5 If m∠WXY = 72, m∠WZY = 4x and m∠ZWX = 10x, find m∠ZYX. W U Z X Y

  18. Assignment Pages 440-442: 8-11, 17, 19, 21, 26, 27, 35-39, 41, 43, 49, 50, 53-57 Unit Study Guide 4 – Due Monday (12/10)

More Related