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Date: Sec 8-5 Concept: Trapezoids and Kites Objective: Given properties of trapezoids and kites we will solve problems as measured by a s.g.

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Presentation on theme: "Date: Sec 8-5 Concept: Trapezoids and Kites Objective: Given properties of trapezoids and kites we will solve problems as measured by a s.g."— Presentation transcript:

1 Date: Sec 8-5 Concept: Trapezoids and Kites Objective: Given properties of trapezoids and kites we will solve problems as measured by a s.g.

2 A quadrilateral with 1 pair of opposite sides parallel

3 A trapezoid with congruent legs

4 Properties of Isosceles Trapezoids Legs of an isosceles trapezoid are congruent Base angles of an isos. trap. are congruent Diagonals of an isos trap. are congruent

5 Example: CDEF is an isos. Trap. With CE = 10, and m { "@context": "http://schema.org", "@type": "ImageObject", "contentUrl": "http://images.slideplayer.com/773062/2/slides/slide_4.jpg", "name": "Example: CDEF is an isos.Trap.", "description": "With CE = 10, and m

6 The midsegment of a trapezoid is parallel to each base and it length is 1/2 the sum of the lengths of the bases Midsegment A M BC N D MN=1/2 (BC+AD)

7 Example: Find the length of the midsegment MN D A B C M N 1210 MN = 1/2(12+10) = 1/2(22) = 11

8 Example: 4 7 x 7 = 1/2(4+x) 14 = 4+x 10 = x

9 A quadrilateral with 2 pairs of consecutive congruent sides

10 Properties of Kites There are 2 pairs of consecutive sides congruent There is exactly 1 pair of congruent angles Diagonals are perpendicular T R U S x

11 Example: RSTV is a kite. Find m { "@context": "http://schema.org", "@type": "ImageObject", "contentUrl": "http://images.slideplayer.com/773062/2/slides/slide_10.jpg", "name": "Example: RSTV is a kite.", "description": "Find m

12 Example: GHJK is a kite. Find HP H J K G 5 4 X P Since the Diagonals are perpendicular, HPG is right. You can use the Pythagorean Thm. a 2 +b 2 =c 2 4 2 +x 2 =5 2 16+x 2 =25 x 2 =9 x=3

13


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