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

Slides:

Advertisements

Similar presentations

6.3 Proving that a Quadrilateral is a Parallelogram

Advertisements

Proving Quadrilaterals are Parallelograms Lesson 6.3 Chapter 6 Section 6.3 Proving Quadrilaterals Are Parallelograms.

WARM-UP ____ ? ? ?. 6-3 Tests for Parallelograms.

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 a quadrilateral is a Parallelogram Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007)

Warm Up: Day 2 Find the coordinates of point M in parallelogram PRAM.

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.

Tests for Parallelograms Advanced Geometry Polygons Lesson 3.

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 TESTS FOR PARALLELOGRAMS. If… Both pairs of opposite sides are parallel Both pairs of opposite sides are congruent Both pairs of opposite angles are.

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

6.3 Showing Quadrilaterals are Parallelograms Textbook pg 316.

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

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

Statements Reasons Page Given 2. A segment bisector divides a segment into two congruent segments 5. CPCTC 3. Vertical angles are congruent 6. If.

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.

Ways to Prove that Quadrilaterals are Parallelograms Keystone Geometry.

Geometry 6.3 I can recognize the conditions that ensure a quadrilateral is a parallelogram.

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

Geometry Section 6.3 Conditions for Special Quadrilaterals.

Monday, November 19, 2012 Agenda: TISK Problems & 2 MM Homework Check/Discuss Lesson 6-3: Rectangles Homework: Finish packet (due 11/27)

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

Geometry Lesson 6 – 4 Rectangles Objective: Recognize and apply properties of rectangles. Determine whether parallelograms are rectangles.

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

Lesson: Objectives: 6.5 Squares & Rhombi  To Identify the PROPERTIES of SQUARES and RHOMBI  To use the Squares and Rhombi Properties to SOLVE Problems.

What quadrilateral am I?.

Geometry Lesson 6 – 2 Parallelograms Objective: Recognize and apply properties of the sides of angles of parallelograms. Recognize and apply properties.

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.

Do-Now 1)Find x. 2) Find x. 4x + 1 3x + 1 2x x 2x – 10 x 2 – 2x – 69.

6-3 Proving a Quad is a parallelogram

Warm Up 6.3 on desk Do daily Quiz 6.2.

Lesson 8.3: Show that a Quadrilateral is a Parallelogram

Parallelograms.

Ways to Prove Quadrilaterals are Parallelograms

Module 9, Lessons 9.1 and Parallelograms

4.2: The Parallelogram and the Kite Theorems on Parallelograms

Parallelograms Parallelogram - A quadrilateral with both pairs of opposite sides parallel. Theorem 8.3 Opposite sides of a parallelogram are congruent.

6-2 Properties of Parallelograms

Properties of Parallelograms

6.5 Rhombi and Squares.

6-3: Tests for Parallelograms

Section 5-1 Parallelograms.

Proving Quadrilaterals Are Parallelograms

Tests for Parallelograms

Six Properties of Parallelograms

Tests for Parallelograms

5.2 Ways to Prove that Quadrilaterals are Parallelograms

Lesson 61 Determining if a Quadrilateral is a Parallelogram

Tests for Parallelograms

Proving a quadrilateral is a parallelogram

6-1 Parallelograms Objectives:

Chapter 5: Quadrilaterals

6.2 and 6.3: Quadrilaterals and Parallelograms

Module 15: Lesson 6 Properties of Parallelograms

6.3 Conditions for Parallelograms

Proving Quadrilaterals Are Parallelograms

9-6: Rhombus, Rectangle, and Square

Properties of Parallelograms

6.3 Proving Quadrilaterals and Parallelograms

6 – 3 Proving That a Quadrilateral Is a Parallelogram

Presentation transcript:

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

Theorem 8 – 7 If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

If both pairs of opp. sides of a quad are congruent, then the quad is a parall.

Def of segment bisector Vertical angles are congruent SAS CPCTC If both pairs of opp. sides of a quad are congruent, then the quad is a parall.

Theorem 8 – 8 If one pair of opposite sides of a quadrilateral is parallel and congruent, then the quadrilateral is a parallelogram.

Theorem 8 – 9 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Determine whether each quadrilateral is a parallelogram. If the figure is a parallelogram, give a reason for your answer. Yes, opposite sides congruent. Not a parallelogram Yes, diagonals bisect Yes, one pair opp. sides parallel and congruent.

Homework Pg – 6 all, 8 – 24 E