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Properties of Geometric Shapes: Trapezoids, Kites, Rhombuses, Rectangles, and Squares, Study notes of Geometry

This notebook covers the properties of various geometric shapes including trapezoids, kites, rhombuses, rectangles, and squares. It includes objectives, examples, and problem-solving exercises for each shape. Students will learn about the properties of these shapes, such as their sides, angles, and diagonals, as well as special properties like parallel sides, perpendicular diagonals, and congruent angles.

Typology: Study notes

2021/2022

Uploaded on 09/27/2022

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Geo8.4&8.5PropertiesofTraps,Kites,Rhombuses,Rectangles,andSquares.notebook
1
Nov1912:10PM
Trapezoid
Kite
Vertex
Angle
NonVertex
Angle
NonVertex
Angle
Vertex
Angle
>>
>>A
B
CD
>>
>>
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:
1.Youwilluseproperesoftrapezoids,kites,rhombuses,rectangles,andsquares.
Rectangle
A
B
CD
*alltheproperesofaParallelogram
 Plus.....
*4rightangles
*diagonalsarecongruent
pf3
pf4
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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:

  1. 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) mDGH

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.