1 / 8

Kites & Trapezoids

Kites & Trapezoids. To recognize and apply the properties of trapezoids. Definitions. Trapezoid - Quadrilateral with exactly one pair of parallel sides. Bases - the parallel sides in a trapezoid. Legs - the non parallel sides. Base angles - angles formed with the base and legs.

mircea
Download Presentation

Kites & Trapezoids

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. Kites & Trapezoids To recognize and apply the properties of trapezoids

  2. Definitions Trapezoid - Quadrilateral with exactly one pair of parallel sides Bases - the parallel sides in a trapezoid Legs - the non parallel sides Base angles - angles formed with the base and legs Isosceles trapezoid - trapezoid w/ congruent legs

  3. Theorems Isosceles Trapezoid Both pairs of base angles of an isosceles trapezoid are congruent The diagonals of an isosceles trapezoid are congruent

  4. Definition Median - segment that joins the midpt of the legs of a trapezoid AKA-midsegment Theorem The median is ll to the bases and its measure is 1/2 the sum of the measures of the bases

  5. Example G H K L J I Given trap. GHIJ w/ median KL, find x 3x - 1 10 7x + 1 KL = 1/2(GH + JI) 10 = 1/2 (3x - 1 + 7x + 1) 10 = 1/2 (10x) 10 = 5x 2 = x

  6. Example E 4x - 10 Z 13 B A 3x + 8 O I Find x given trap EZOI and median AB. 13 = 1/2(3x + 8 + 4x - 10) 13 = 1/2(7x - 2) 26 = 7x - 2 28 = 7x 4 = x

  7. A quadrilateral that has 2 pairs of consecutive congruent sides. Properties: The diagonals are perpendicular Exactly one pair of opposite angles are congruent. Kite

  8. Homework • PG 546 3 – 23 odd, 24 – 27, 32

More Related