WARM UP With a partner, quiz each other on the properties of a: Parallelogram Kite Square Rectangle Isosceles Trapezoid.

Slides:

Advertisements

Similar presentations

What is the most specific name for the quadrilateral?

Advertisements

Quadrilateral Venn Diagram

5.5 Properties of Quadrilaterals Objective: After studying this section, you will be able to identify some properties of: a. parallelograms, b. rectangles,

PinpointingProperties. Trapezoids Make these trapezoids on your geoboard. How many sides? How many angles? Are any sides congruent? No sides are congruent.

Quadrilaterals Project

Quadrilateral Proofs.

Proving That Figures Are Special Quadrilaterals

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

Name That Quadrilateral  Be as specific as possible.  Trapezoid.

Lesson 6-1. Warm-up Solve the following triangles using the Pythagorean Theorem a 2 + b 2 = c √3.

Proof Geometry.  All quadrilaterals have four sides.  They also have four angles.  The sum of the four angles totals 360°.  These properties are.

Types of Quadrilaterals (4-sided figures)

 Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites.

1 Lesson 6-6 Trapezoids and Kites. 2 Trapezoid A quadrilateral with exactly one pair of parallel sides. Definition: Base Leg/ Height Isosceles trapezoid.

Properties of Quadrilaterals. Quadrilateral Trapezoid Isosceles Trapezoid Parallelogram RhombusRectangle Quadrilateral Tree Kite Square.

Kite Quadrilateral Trapezoid Parallelogram Isosceles Trapezoid Rhombus Rectangle Square Math 3 Hon – Unit 1: Quadrilateral Classifications.

Ch. 6 Review Classwork. 1. Copy and complete the chart. Just write the names of the quadrilaterals.

Proving Properties of Special Quadrilaterals

Warm-Up ABCD is a parallelogram. Find the length of BC. A B C D 5x + 3 3x + 11.

Special Quadrilaterals

A QUADRALATERAL WITH BOTH PAIRS OF OPPOSITE SIDES PARALLEL

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

Midsegments of a Triangle

Obj: SWBAT identify and classify quadrilaterals and their properties

Proofs with Quadrilaterals. Proving Quadrilaterals are Parallelograms Show that opposite sides are parallel by same slope. Show that both pairs of opposite.

Properties of Quadrilaterals

PROPERTIES AND ATTRIBUTES OF POLYGONS

Special Quadrilaterals Properties of Kites & Trapezoids.

Classifying Quadrilaterals Learning Target: I can classify quadrilaterals.

Geometry SECTION 6: QUADRILATERALS. Properties of Parallelograms.

Quadrilaterals Four sided polygons.

Always, Sometimes, or Never

Properties of Quadrilaterals

Special Quadrilaterals. KITE  Exactly 2 distinct pairs of adjacent congruent sides  Diagonals are perpendicular  Angles a are congruent.

5.4 Quadrilaterals Objectives: Review the properties of quadrilaterals.

In this lesson you will learn how to prove or disprove that 4 points in the coordinate plane make a rectangle.

Quadrilaterals Four sided polygons Non-examples Examples.

Quadrilaterals By Austin Reichert. Two Diagonals!!! First comes the Trapezium!!! ◦No sides are parallel!

Quadrilateral Foldable!

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

7/1/ : Properties of Quadrilaterals Objectives: a. Define quadrilateral, parallelogram, rhombus, rectangle, square and trapezoid. b. Identify the.

5.5 Properties of Quadrilaterals

Do Now: List all you know about the following parallelograms.

Unit 2 – Similarity, Congruence, and Proofs

Quadrilaterals.

Unit 6 Quadrilaterals Review Problems

Objective 6.13 Quadrilaterals Students will describe and identify

Geometry Quick Discussion 10.1 Squares and Rectangles

A parallelogram with 4 right angles

Name all the Quads with:

Parallelograms.

Ways to Prove Quadrilaterals are Parallelograms

Chapter 6 Quadrilaterals

Lesson 6-5: Trapezoid & Kites

Trapezoid Special Notes!

Chapter 7 Proofs and Conditional Probability

Lesson 6-5: Trapezoid & Kites

Unit 6 Quadrilaterals Section 6.5 Properties of Rhombi and Squares

6.4 Rhombuses, Rectangles, and Squares 6.5 Trapezoids and Kites

Special Quadrilaterals

What is a quadrilateral??

Lesson 61 Determining if a Quadrilateral is a Parallelogram

Lesson 6-5 Trapezoids and Kites.

Some Special Properties of Parallelograms

Special Quadrilaterals

A parallelogram with 4 congruent sides

9-6: Rhombus, Rectangle, and Square

Presentation transcript:

WARM UP With a partner, quiz each other on the properties of a: Parallelogram Kite Square Rectangle Isosceles Trapezoid

5.6 Proving that a quadrilateral is a parallelogram 1. If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram (reverse of the definition). 2. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram (converse of a property). 3. If one pair of opposite sides of a quadrilateral are both parallel and congruent, then the quadrilateral is a parallelogram.

4. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram (converse of a property). 5. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram (converse of a property).

Pretend this is an ironing board. Why does the board always seem to stay parallel with the floor as you adjust the height?

Reason: The legs are hinged at the midpoints The legs are hinged at the midpoints The legs form isosceles triangles with the board and floor The legs form isosceles triangles with the board and floor It stays parallel as you raise and lower the board. It stays parallel as you raise and lower the board.