warm up elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of...

11

Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects two of these shapes at random. If each of the selected shapes has at least one pair of opposite sides parallel, the player can use these shapes as keys to a higher level of the game. What is the probability of selecting a pair of keys? Represent each shape with a letter

Upload: harry-oneal

Post on 29-Dec-2015

213 views

Category:

Documents

2 download

Report

Download

Embed Size (px):

TRANSCRIPT

Page 1: Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects

Warm Up Elena used a rectangle, a square, a kite, a rhombus,

and an isosceles trapezoid as part of a computer game she was creating. The player selects two of these shapes at random. If each of the selected shapes has at least one pair of opposite sides parallel, the player can use these shapes as keys to a higher level of the game. What is the probability of selecting a pair of keys?

Represent each shape with a letter

Page 2: Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects

Given:

AD is parallel to BC

m< D = 8x + 20

m<A = 150 – 6x

m<C = 12x + 60

Find x

Find m<B

Is AB parallel to DC?

A

C

B

D

<A and <D are supplementary

150 - 6x + 8x +20 = 180

x = 5

m<D = 60

m<A = 120

m<C = 120

Since <D is supplementary to <A, AB is parallel to DC.

Page 3: Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects

5.5 Properties of Quadrilaterals

Objective: identify properties of quadrilaterals

Page 4: Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects

Properties of parallelograms Opposite sides are parallel and congruent Opposite angles are congruent Diagonals bisect each other Any pair of consecutive angles are

supplementary

Page 5: Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects

Properties of rectangles: All properties of parallelograms apply All angles are right angles Diagonals are congruent

Page 6: Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects

Properties of a kite: Two disjoint pairs of consecutive sides are congruent Diagonals are perpendicular One diagonal is the perpendicular bisector of the

other One diagonal bisects a pair of opposite angles (wy

bisects <xwz and <xyz) One pair of opposite angles are congruent (<wxy and

<wzy)

yW

x

z

Page 7: Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects

Properties of a rhombus: All properties of parallelograms apply All properties of a kite apply All sides are congruent (equilateral) Diagonals bisect the angles Diagonals are perpendicular bisectors of each

other Diagonals divide it into four congruent right

triangles.

Page 8: Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects

Properties of a square: All properties of a rectangle All properties of a rhombus The diagonals form four isosceles triangles

(45-45-90)

Page 9: Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects

Properties of an isosceles trapezoid:

Legs are congruent (definition) Bases are parallel (definition) Lower base angles are congruent Upper base angles are congruent Diagonals are congruent Lower base angle is supplementary to upper

base angle

Page 10: Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects

Given: ZRVA is a parallelogram

AV = 2x – 4

RZ = ½ x + 8

VR = 3y + 5

ZA = y + 12

Find x

Find y

Find the perimeter

RV

A Z

Page 11: Warm Up Elena used a rectangle, a square, a kite, a rhombus, and an isosceles trapezoid as part of a computer game she was creating. The player selects

R

P

S

M O

Given: Rectangle MPRS

MO congruent to PO

Prove: ΔROS is isosceles

http://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/

shapes.AT#utesName.--5idesAnge.sVerticestrianF333-- … · 2020-05-30 · Directions Page 1: Shapes 1. Draw the following shapes: triangle, square, rectangle, trapezoid, rhombus (diamond),

The Properties Of A Rhombus

MA 341 – Topics in Geometry Lecture 05droyster/courses/fall11/MA341/Classnotes...Important Types of Quadrilaterals Rectangles Squares Parallelograms Rhombus Trapezoid (trapezium)

Learning Objectives · Learning Objectives 7-5. Holt Geometry 6-6 Properties of Kites and Trapezoids kite trapezoid base of a trapezoid leg of a trapezoid base angle of a trapezoid

2Dand3DShapesBingosamsonsschoolysite.weebly.com/uploads/1/1/1/3/11132637/2...Circle prism pyramid cylinder octagon triangle aoa rectangular rectangle hexagon Square prism rhombus trapezoid

hhsgeometry.files.wordpress.com · Web viewA quadrilateral has vertices with coordinates , , , and . Which type of quadrilateral is this? 1) rhombus 2) rectangle 3) square 4) trapezoid

Lesson 2: Trapezoids and Kites · trapezoid. An isosceles trapezoid is a trapezoid with one pair of opposite sides congruent. A scalene trapezoidis a trapezoid with no congruent sides

W.2 - K€¦ · of people and places. ... • K.G.A.2: Correctly name shapes regardless of their orientation or overall size (e.g., circle, triangle, square, rectangle, rhombus, trapezoid,

Geometric Shapes Matching - Montessori Teaching Resources · Geometric Shapes Matching Square Rectangle Trapezoid Rhombus Parallelogram Kite Chevron Quadrilateral Place shape name

QUADRILATERALS - Pequannock Valley SchoolAnswer quadrilateral parallelogram square rectangle rhombus trapezoid kite Create a Venn Diagram using the circles below. You will need to

QUADRILATERAL (Segiempat). Base of Competence 1. Identify the properties of rectangle, square, parallelogram, rhombus, kite and trapezoid. 2. Determine

=. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The

Advanced Algebra€¦ · Web view30-60-90 formulas: Sine: Cosine: Tangent: Area of a rectangle: Area of a parallelogram: Area of a triangle: Area of a trapezoid: Area of a rhombus

Areas of Tra zoi s, Rhom i, Review — Define Trapezoid Area ...mathwithmrslandrum.weebly.com/.../area_or_trapezoids_rhombi_and… · 6.5 ft 21Sft our 31 m 16m Review — Define Rhombus

Next Rectangle-4 right angles Parallelogram - 4 parallel angles Square-4 right angles 4 congruent sides Trapezoid- one pair of parallel lines Rhombus-

Modeling with Geometry - Unbounddanielsroar.weebly.com/.../ncm3_geometry_booklet.pdf · d A oid ses o s. Isosceles Trapezoids Trapezoid Midsegment An isosceles trapezoid is a trapezoid

Geometry 7 th Grade 2010. 1. Which of these shapes can be created using two congruent isosceles triangles? 1.rhombus 2.rectangle 3.trapezoid 4.parallelogram

Find the area of each trapezoid rhombus or kite.colliervillehs.colliervilleschools.org/ourpages/auto/... · 2014-11-13 · Find the area of each trapezoid , rhombus , or kite. 62/87,21

6-6 Trapezoids and Kites. Trapezoid: a quadrilateral with exactly one pair of parallel sides Isosceles Trapezoid: a trapezoid with legs that are congruent

Find the area of trapezoids. Trapezoid Base of a trapezoid Height of a trapezoid

Geometric Shapes Reference Guide€¦ · Circle Curvilinear Triangle Oval Ellipse Quatrefoil Square Rectangle Kite Chevron Quadrilateral Trapezoid Rhombus Parallelogram Pentagon Hexagon

Find the area of each trapezoid rhombus orlarger trapezoid and the smaller trapezoid. The area A of a trapezoid is one half the product of the height h and the sum of the lengths of

10.1 Area of a trapezoid

Lesson 6-6 Trapezoids and Kites. Vocabulary trapezoid bases legs of a trapezoid base angles isosceles trapezoid midsegment of a trapezoid kite

C.inbani.com/downloads/catalogues/ACCESORIOS_2017.pdf · AC305 Rhombus Rug · Ivory Alformbra Rhombus · Crudo Rhombus Rug · Ivory Alformbra Rhombus · Crudo 260 x 260 160 x 250

· O Rhombus C. Rectangle t). Square X Trapezoid B Rectangle C Square N OParallelogram 3. 5. 9 A. Parallelogram B. Rectangle (J Trapezoid D. Rhombus 6. and each other. B c. Rhombus

Vocabulary Square Parallelogram Pair Parallel Pair of equal sides Rectangle Rhombus Quadrilateral Trapezoid

4.1 Quadrilaterals Quadrilateral ParallelogramTrapezoid Rectangle Rhombus Square Isosceles Trapezoid

How do you know when a shape is a rhombus? Are you a rhombus?

10.2 Areas of Other Quadrilaterals Essential Questions: How do you find the area of a trapezoid? How do you find the area of a rhombus or a kite?

Grade 1, Module 5 Student File A - Camden City School District · Lesson 2: Find and name two-dimensional shapes including trapezoid, rhombus, and a square as a special rectangle,

Describe how to find the areas of a square, rectangle, triangle, parallelogram, trapezoid, kite and rhombus. Give at least 3 examples of each. rectangle

Sebastian Enriquez. Square Parallelogram & Rectangle: B*H Triangle: ½ B*H Trapezoid: ½ (B1+B2)H Kite & Rhombus: ½(D1)(D2) 3 5 Area= 15 5 5Area =25 25

Homework Section 5-1 - St. Charles Preparatory School rectangle, rhombus, square or trapezoid. Section 5-1 Properties of Parallelograms Homework Pages 169-171: 1 – 32 Objectives

MATH TOPICS - Mazel Day Schoolmazeldayschool.com/media/pdf/1086/PVmc10862700.pdf · 2019. 4. 1. · • Triangle inequalities • Parallelogram, rhombus and trapezoid Area of a triangle