Quadrilaterals Four sided polygons.

Slides:

Advertisements

Similar presentations

Advertisements

Parallelograms Quadrilaterals are four-sided polygons

Quadrilateral Venn Diagram

Section 8.6 Identify Special Quadrilaterals. Rhombus Quadrilaterals Parallelograms KitesTrapezoids Rectangle Square Isosceles Trapezoid Right Trapezoid.

What quadrilateral am I? Use the given properties to decide what type of quadrilateral is being described. Continue.

Quadrilaterals Project

6-6 Trapezoids and Kites.

Advanced Geometry 5.4 / 5 Four Sided Polygons /    Properties of Quadrilaterals Learner Objective: I will solve problems using properties   of special.

Chapter 5 Review.

Similarity and Parallelograms.  Polygons whose corresponding side lengths are proportional and corresponding angles are congruent.

Polygons and Quadrilaterals Unit

Section 16.1 Pythagorean Theorem a=11.6. x=3.86 y=4.60 x=

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

Properties of Quadrilaterals

Review & Trapezoids. Properties of a Parallelogram A BC D 1. Opposite sides are parallel. 2 Opposite sides are congruent. 3. Opposite angles are congruent.

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

Parallelograms Chapter 5 Ms. Cuervo.

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.

5.11 Use Properties of Trapezoids and Kites. Vocabulary  Trapezoid – a quadrilateral with exactly one pair of parallel sides. Base Base Angle Leg.

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

Final Exam Review Chapter 8 - Quadrilaterals Geometry Ms. Rinaldi.

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

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

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

Special Quadrilaterals

Aim: what are the properties of quadrilaterals? Do Now: Name 2 ways to identify a parallelogram as a square 1.A rectangle with 1 pair of consecutive congruent.

A QUADRALATERAL WITH BOTH PAIRS OF OPPOSITE SIDES PARALLEL

Trapezoids Sec: 8.6 Sol: G.8 a, b, c Foldable QUADRILATERALS Trapezoid * Fold over the fourth cut section and write Trapeziod on the outside. QUADRILATERALS.

By: Sachita Ganesa, Brittany Laramee, Connor Shea and Sean Teebagy

Please click the speaker symbol on the left to hear the audio that accompanies some of the slides in this presentation. Quadrilaterals.

Special parallelograms 5-4. Definitions Rectangle- a quadrilateral with 4 right angles Rhombus - a quadrilateral with 4 congruent sides Square - a quadrilateral.

Ch 8 test Things I would know. How to name consecutive angles/vertices/sides Or Non consecutive angles/vertices/sides.

Chapter 8 Quadrilaterals. Section 8-1 Quadrilaterals.

Rhombuses, Rectangles, and Squares

Midsegments of a Triangle

Obj: SWBAT identify and classify quadrilaterals and their properties

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

Properties of Quadrilaterals

UNIT 3 Quadrilaterals and Circles Pages

A D B C Definition: Opposite Sides are parallel.

Geometry SECTION 6: QUADRILATERALS. Properties of Parallelograms.

Name that QUAD. DefinitionTheorems (Name 1) More Theorems/Def (Name all) Sometimes Always Never

Always, Sometimes, or Never

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.

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

Quadrilaterals and Polygons SOL Review Session. Names of Polygons Number of SidesName

Quadrilaterals Four sided polygons Non-examples Examples.

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

Quadrilateral Foldable!

Parallelograms Quadrilaterals are four-sided polygons Parallelogram: is a quadrilateral with both pairs of opposite sides parallel.

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

Final 100 Terms & Definitions Always, Sometimes Or Never.

Chapter 7 Review.

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

QUADRILATERALS.

POLYGONS ( except Triangles)

6-4 Properties of Rhombuses, Rectangles, and Squares

Factor & Solve: x2 + 9x + 14 = 0 x2 + 2x -15 = 0 x2 – 7x + 15 =45

Lesson 6-5: Trapezoid & Kites

Parallelogram Definition: A quadrilateral with two pairs of parallel sides. Picture: Marked parallel and congruent.

Terms & Definitions Always, Sometimes Or Never Find the Measure Complete The Theorem.. Polygon Angles

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

Lesson 6-5 Trapezoids and Kites.

Fill in the following table – checking each characteristic that applies to the figures listed across the top; Characteristic Polygon Quadrilateral Parallelogram.

Y. Davis Geometry Notes Chapter 6.

Presentation transcript:

Quadrilaterals Four sided polygons

Parallelograms Definition- A quadrilateral with both pairs of opposite sides parallel.

Parallelograms-Theorems 8.3- Opposite sides are congruent 8.4- Opposite angles are congurent 8.5- Consecutive angles are supplementary

Theorems (con’t) 8.6-If a parallelogram has one right angle, it has four right angles. 8.7-The diagonals bisect each other. 8.8- Each diagonal separates the parallelogram into two congurent triangles.

Rectangles Definition- a quadrilateral with four right angles. Properties- 1.Opposite sides are congruent and parallel 2.Opposite angles are congruent 3.Consecutive angles are supplementary 4.Diagonals are congruent and bisect each other 5.All four angles are right angles

Rectangles Theorems 8.13- If a parallelogram is a rectangle, then the diagonals are congruent. 8.14-If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Rhombi Definition- a quadrilateral with all four sides congruent.

Rhombi Theorems 8.15- The diagonals are perpendicular 8.16- If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. 8.17- Each diagonal of a rhombus bisect a pair of opposite angles.

Rhombi Properties 1.It has all the same properties as a parallelogram A. Opposite sides are congruent B. Opposite angles are congruent C. Consecutive angles are supplementary D. The diagonals bisect each other E. Each diagonal makes two congruent triangles

Properties (cont’) 2. All sides are congruent 3. Diagonals are perpendicular 4.Diagonals bisect the angles of the rhombus

Squares Definition- a quadrilateral that is both a rhombus and a rectangle

Squares Properties 1. All the properties of a parallelogram A. Opposite sides are congruent B. Opposite angles are congruent C. Consecutive angles are supplementary D. The diagonals bisect each other E. Each diagonal separates it into two congruent triangles

Properties (cont’) 2. All the properties of a rectangle A. All four angles are right angles B. the diagonals are congruent 3. All the properties of a rhombus A. All sides are congruent B. Diagonals are perpendicular C. Diagonals bisect the angles of the square

Trapezoids Definition- a quadrilateral with exactly one pair of parallel sides Isosceles trapezoid- a trapezoid where the legs are congruent Median- the segment that joins the midpoints of the legs of a trapezoid

Trapezoids-Theorems 8.18- Both pairs of base angles of an isosceles trapezoid are congruent 8.19- The diagonals of an isosceles trapezoid are congruent 8.20- The median of a trapezoid is parallel to the bases, and its measure is one-half the sum of the measures of the bases. (median = ½(b1 + b2)