Download Properties of Geometric Shapes: Trapezoids, Kites, Rhombuses, Rectangles, and Squares and more Study notes Geometry in PDF only on Docsity!
Nov 1912:10 PM
Trapezoid
Kite
Vertex
Angle
Non Vertex
Angle
Non Vertex
Angle
Vertex
Angle
>>
>>
A
B
D C
>>
>>
Isosceles Trapezoid
*1 pair legs
*2 pair base angles
*diagonals
*all the properes of a Quadrilateral
Plus.....
*exactly 1 pair of parallel sides
*all the properes of a Quadrilateral
Plus.....
*2 pair of adjacent sides
*diagonals are perpendicular
*vertex diagonal bisects the nonvertex
diagonal
*vertex diagonal bisects the vertex
angles
*nonvertex angles congruent
8.4 & 8.5 Properes of Trapezoids, Kites, Rhombuses, Rectangles, and Squares
Objecves:
- You will use properes of trapezoids, kites, rhombuses, rectangles, and squares.
Rectangle
A
B
C
D
*all the properes of a Parallelogram
Plus.....
*4 right angles
*diagonals are congruent
Nov 208:45 AM
Square
A
B
C
D
*all the properes of a ll the other
Quadrilaterals!
Rhombus
A B
D C
*all the properes of a Parallelogram & Kite
Plus.....
*4 sides
Dec 12:28 PM
Example 4 :
The diagonals of square DEFG intersect at H.
Given that EH=5, find the indicated measure.
a) m ∠GHF b) m ∠ DGH
c) HF d) DE
Example 5 :
a) Find the value of x. b) Find the measure of ∠ K and ∠ J.
If you connect the midpoints of the two legs of a trapezoid,the resulng
segment is known as the ________________.
midsegment
There are 2 special properes.
*parallel to the bases
*length of the median is half the sum of the two bases
H A
R
P
M
N
a+b
Midsegment =
Nov 201:46 PM
Example 6 :
Find the length of median MN in trapezoid TRAP
if TR = 12 cm and PA = 18 cm.
Example 7 :
Solve for the length of MP if quadrilateral
MNOP is a trapezoid.
P
O
M N
l
l
ll ll
59cm
13cm
S
T
Example 8 :
Solve for x.
