Section 5.1 Properties of Parallelograms

Slides:

Advertisements

Similar presentations

6.3/4 Rhombuses, Rectangles, and Squares. Three Definitions 1.A rhombus is a parallelogram with four congruent sides. 1.A rectangle is a parallelogram.

Advertisements

Applied Geometry Lesson: 8 – 3 Tests for Parallelograms Objective: Learn to identify and use tests to show that a quadrilateral is a parallelogram.

6-3 Proving That a Quadrilateral Is a Parallelogram

(The Reverse of Lesson 5.5) I can prove the a quadrilateral is a parallelogram Day 1.

Proving That Figures Are Special Quadrilaterals

Proving Quadrilaterals are Parallelograms - Sec 6.3 GOALS: To prove a quadrilateral is a parallelogram (6 ways to do so!)

OBJECTIVE: PROVING THAT A QUADRILATERAL IS A PARALLELOGRAM

Proving Quadrilaterals are Parallelograms. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

A Study of all things 4 sided. Quadrilaterals Parallelograms.

Parallelograms Unit 8.2. What is a parallelogram Definition: a parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Ways to Prove that Quadrilaterals are Parallelograms

Tests for Parallelograms

6.3 Proving Quadrilaterals are Parallelograms Day 3.

What is a quadrilateral? List as many types of quadrilaterals that you can think of.

5.2 Proving Quadrilaterals are Parallelograms Definition of Parallelogram: Both pairs of opposite sides are parallel.

6.3 Showing Quadrilaterals are Parallelograms Textbook pg 316.

Section 6-4 Special Parallelograms SPI 32A: identify properties of plane figures from information in a diagram SPI 32 H: apply properties of quadrilaterals.

CHAPTER 5: QUADRILATERALS

Ways of proving a quadrilaterals are parallelograms Section 5-2.

Rhombuses, Rectangles, and Squares

Geometry 6-4 Properties of Rhombuses, Rectangles, and Squares.

EXAMPLE 3 List properties of special parallelograms

Ways to Prove that Quadrilaterals are Parallelograms

Conditions for Parallelograms Students will be able to show that a given quadrilateral is a parallelogram.

Use Properties of Parallelograms

Properties of Rhombuses, Rectangles, and Squares Lesson 8.4.

Geometry Section 8.4 Properties of Rhombuses, Rectangles, and Squares.

Ways to Prove that Quadrilaterals are Parallelograms Keystone Geometry.

6.3 Proving Quadrilaterals are Parallelograms. Theorem If both pairs of opposite sides of a quadrilateral are parallel, then it is a parallelogram.

Properties of Parallelograms Definition  Parallelogram – a quadrilateral with both pairs of opposite sides parallel.

Geometry Section 6.3 Conditions for Special Quadrilaterals.

Date: Topic: Properties of Parallelograms (7.1) Warm-up Find x and the missing angle measures The angles of a triangle add up to 180 degrees. 3x + 4x +

7.2 Parallelograms. Definition: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Consecutive angles Opposite angles.

Lesson 6-2 Tests for Parallelograms. Proving Quadrilaterals as Parallelograms If both pairs of opposite sides of a quadrilateral are congruent, then the.

Parallelograms Properties & Attributes. Parallelograms …are quadrilaterals in which both pairs of opposite sides are parallel If a quadrilateral is a.

Interior and exterior angles. Exterior and interior angles are supplementary.

Sections  A parallelogram must have:  Both pair of opposite sides congruent  Both pair of opposite angles congruent  Consecutive angles that.

Properties of Parallelograms Warm Up 3/17  Find the perimeter of triangle ABC: B 4 cm 3 cm 6 cm 2x cm x + 4 cm 4 cm A C.

Warm Up:  Solve for x and y in the following parallelogram. What properties of parallelograms did you use when solving?  What is the measure of CD? 

6-3 Proving a Quad is a parallelogram

Use Properties of Parallelograms

8.2 Parallelograms.

Parallelograms.

6-2B Proving Quadrilaterals Are Parallelograms

Chapter 5 -- Quadrilaterals

Ways to Prove Quadrilaterals are Parallelograms

Properties of Parallelograms

6-2 Properties of Parallelograms

Sides CD DA angles ∠C ∠D.

Section 5-1 Parallelograms.

Tests for Parallelograms

Chapter 5: Quadrilaterals

Six Properties of Parallelograms

8.4 Properties of Rhombuses, Rectangles, and Squares

Use Properties of Parallelograms

Tests for Parallelograms

Unit 6 Quadrilaterals Section 6.1 Properties of Parallelograms

Lesson 61 Determining if a Quadrilateral is a Parallelogram

Tests for Parallelograms

6.3 Proving Quadrilaterals are Parallelograms

6-1 Parallelograms Objectives:

6.2 and 6.3: Quadrilaterals and Parallelograms

Module 15: Lesson 6 Properties of Parallelograms

6.3 Conditions for Parallelograms

Lesson: 6.2 Tests for Parallelograms Pages: 298 – 300 Objectives:

Proving Quadrilaterals Are Parallelograms

Properties of Parallelograms

6-4 Squares and Rhombi Objectives:

6.3 Proving Quadrilaterals and Parallelograms

Go over the Test.

Presentation transcript:

Section 5.1 Properties of Parallelograms

Warm up FOUR SIDED FIGURES QUADRILATERALS Warm up FOUR SIDED FIGURES

A parallelogram is a TYPE of quadrilateral

Definition of parallelogram A quadrilateral with both pairs of opposite sides parallel.

Theorems about Parallelograms 5.1: Opposite sides of a parallelogram are congruent. 5.2: Opposite angles of a parallelogram are congruent. 5.3: Diagonals of a parallelogram bisect each other.

Find the missing values. x = 100 y = 45 z = Not enuf info 35o 180 – 80 = 100o xo 80o 45o yo 7 c ANGLES 12 a LENGTHS b 8 zo 6 d Note: Figure NOT Drawn to Scale.

Find the missing values. LENGTHS 2x + 5y = 30 2x + 2y = 18 3y = 12 y = 4 2x + 2(4) = 18 2x = 10 x = 5

Is it a parallelogram? SSIAs 112 + 78 = ? 112 + 78 = 190 190 ≠ 180 No it is not. Note: Figure NOT Drawn to Scale.

Not enough information so it is not a parallelogram. Is it a parallelogram? 1 pair of opp. sides are || Not enough information so it is not a parallelogram. 1 pair of opp. sides are ≅

Practice Page 168 Classroom Exercises #1 – 8, Draw Diagrams for #3,4,5