Chapter 5 -- Quadrilaterals

Slides:



Advertisements
Similar presentations
Math 310 Section 10 Quadrilaterals Review. Trapezoid Definition: A quadrilateral with a pair of parallel sides. Special Notes! All the properties of a.
Advertisements

Proving Quadrilaterals are Parallelograms Lesson 6.3 Chapter 6 Section 6.3 Proving Quadrilaterals Are Parallelograms.
Proving that a Quadrilateral is a Parallelogram
TODAY IN GEOMETRY…  REVIEW: Properties of Parallelograms  Practice QUIZ  Learning Target : 8.3 Prove a quadrilateral is a parallelogram  Independent.
6-3 Proving That a Quadrilateral Is a Parallelogram
Proving Quadrilaterals are Parallelograms - Sec 6.3 GOALS: To prove a quadrilateral is a parallelogram (6 ways to do so!)
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
6.3 Proving Quadrilaterals are Parallelograms Day 3.
6.3 Proving Quadrilaterals are Parallelograms Learning Target I can use prove that a quadrilateral is a parallelogram.
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.
Ways of proving a quadrilaterals are parallelograms Section 5-2.
Chapter 8.2 Notes: Use Properties of Parallelograms
Parallelograms have Properties Click to view What is a parallelogram? A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Rhombus 1.Both pairs of opposite sides are parallel 2. Both pairs of opposite sides are congruent 3. Both pairs of opposite angles are congruent 4. Consecutive.
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
Rectangles Section 8-4. rectangle – a quadrilateral with 4 right angles Since a rectangle is a special type of parallelogram, it has all the properties.
A D B C Definition: Opposite Sides are parallel.
Ways to Prove that Quadrilaterals are Parallelograms Keystone Geometry.
Properties of Parallelograms Definition  Parallelogram – a quadrilateral with both pairs of opposite sides parallel.
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.
Parallelograms have Properties
Rhombus – a quadrilateral with ______ _________ _________ ________
6-3 Proving a Quad is a parallelogram
Use Properties of Parallelograms
8.2 Parallelograms.
Module 15: Lesson 7 Conditions for Rectangles, Rhombi, and Squares
Parallelograms.
6-2B Proving Quadrilaterals Are Parallelograms
Warmup.
Ways to Prove Quadrilaterals are Parallelograms
6-4 Properties of Rhombuses, Rectangles, and Squares
Module 15: Lesson 7 Conditions for Rectangles, Rhombi, and Squares
Properties of Parallelograms
6-2 Properties of Parallelograms
Parallelogram Definition: A quadrilateral with two pairs of parallel sides. Picture: Marked parallel and congruent.
6.2 Properties of Parallelograms
Section 5-1 Parallelograms.
Proving Quadrilaterals Are Parallelograms
Chapter 5: Quadrilaterals
Six Properties of Parallelograms
Use Properties of Parallelograms
8.2 Use Properties of Parallelograms
Unit 6 Quadrilaterals Section 6.5 Properties of Rhombi and Squares
Unit 6 Quadrilaterals Section 6.1 Properties of Parallelograms
6-3 Tests for Parallelograms
Lesson 61 Determining if a Quadrilateral is a Parallelogram
6.3 Proving Quadrilaterals are Parallelograms
Unit 6 Quadrilaterals Section 6.3 Properties of Rectangles
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
6.3 Proving Quadrilaterals and Parallelograms
Properties of Parellograms
Bellringer Can a triangle have the sides with the given lengths? Explain 8mm, 6mm, 3mm 5ft, 20ft, 7ft 3m, 5m, 8m.
Presentation transcript:

Chapter 5 -- Quadrilaterals Section 5-1 – parallelograms

Definition of a Parallelogram A quadrilateral with parallel opposite sides Note: parallel sides mean same-side interior angles are supplementary. Complete Sample Problem 1

Properties of parallelograms Opposite sides of a parallelogram are congruent. Complete Sample Problem 2

Properties of parallelograms Opposite angles of a parallelogram are congruent. Complete Sample Problem 3

Properties of parallelograms Diagonals of a parallelogram bisect each other. Complete Sample Problem 4