Download presentation

Presentation is loading. Please wait.

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
Trapezoid A quadrilateral with 1 pair of opposite sides parallel

3
**A trapezoid with congruent legs**

Isosceles Trapezoid 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<E=125°**

Find DF _______ m<C _________ m<D _________ m<F _________ D E = 125° F C 10 55 125 55

6
**Midsegment of a Trapezoid**

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

7
**Example: Find the length of the midsegment MN**

B C M N 12 10 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**

Kites A quadrilateral with 2 pairs of consecutive congruent sides

10
**Properties of Kites There are 2 pairs of consecutive sides congruent**

x There are 2 pairs of consecutive sides congruent There is exactly 1 pair of congruent angles Diagonals are perpendicular

11
**Example: RSTV is a kite. Find m<R___________ m<S___________**

m<T___________ 70 m<S=125 since <S and <U are congruent 125 x+x = 360 2x+280=360 2x = 80 x=40 40 T R U S 125 x+30 x x=40=m<T x+30 = =70 = m<R

12
**Example: GHJK is a kite. Find HP**

Since the Diagonals are perpendicular, HPG is right. You can use the Pythagorean Thm. a2+b2=c2 42+x2=52 16+x2=25 x2=9 x=3 H J K G 5 4 X P

13
Today's Work

Similar presentations

OK

Section 6-5 Trapezoids and Kites SPI 32A: identify properties of plane figures from information in a diagram SPI 32 H: apply properties of quadrilaterals.

Section 6-5 Trapezoids and Kites SPI 32A: identify properties of plane figures from information in a diagram SPI 32 H: apply properties of quadrilaterals.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on eddy current brake Ppt on sources of energy for class 8th date Ppt on natural resources Ppt on indian politics bjp Ppt on service oriented architecture for dummies Ppt on computer manners Ppt on magnetic field lines Ppt on save tigers in india download film Ppt on holographic technology companies Ppt on revolt of 1857 pictures