Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as...

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Quadrilaterals Kimberly A. Yuretich

Transcript of Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as...

Page 1: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

Quadrilaterals

Kimberly A. Yuretich

Page 2: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

Objectives

• To identify any quadrilateral, by name, as specifically as you can, based on its characteristics

Page 3: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

Quadrilateral

• a quadrilateral is a polygon with 4 sides.

Page 4: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

Specific Quadrilaterals

• There are several specific types of quadrilaterals. They are classified based on their sides or angles.

Page 5: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

2 pairs adjacent congruent sides

1 pair parallel sides2 pairs parallel

sides

4 right angles4 congruent sidesnon-parallel sides are congruent

Quadrilaterals

Parallelogram

Rectangle

Rhombus

Square

Isosceles Trapezoid

Trapezoid

Kite

Page 6: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

2 pairs adjacent congruent sides

1 pair parallel sides2 pairs parallel

sides

4 right angles4 congruent sidesnon-parallel sides are congruent

Quadrilaterals

Parallelogram

Rectangle

Rhombus

Square

Isosceles Trapezoid

Trapezoid

Kite

A quadrilateral simply has 4 sides – no other special requirements.

Page 7: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

Examples of Quadrilaterals

Page 8: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

2 pairs adjacent congruent sides

1 pair parallel sides2 pairs parallel

sides

4 right angles4 congruent sidesnon-parallel sides are congruent

Quadrilaterals

Parallelogram

Rectangle

Rhombus

Square

Isosceles Trapezoid

Trapezoid

Kite

A parallelogram has two pairs of parallel sides.

Page 9: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

Parallelogram

• Two pairs of parallel sides

• opposite sides are actually congruent.

Page 10: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

2 pairs adjacent congruent sides

1 pair parallel sides2 pairs parallel

sides

4 right angles4 congruent sidesnon-parallel sides are congruent

Quadrilaterals

Parallelogram

Rectangle

Rhombus

Square

Isosceles Trapezoid

Trapezoid

Kite

A rhombus is a parallelogram that has four congruent sides.

Page 11: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

Rhombus

• Still has two pairs of parallel sides; with opposite sides congruent.

4 in.

4 in.

4 in.

4 in.

Page 12: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

2 pairs adjacent congruent sides

1 pair parallel sides2 pairs parallel

sides

4 right angles4 congruent sidesnon-parallel sides are congruent

Quadrilaterals

Parallelogram

Rectangle

Rhombus

Square

Isosceles Trapezoid

Trapezoid

Kite

A rectangle has four right angles.

Page 13: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

Rectangle

• Still has two pairs of parallel sides; with opposite sides congruent.

• Has four right angles

Page 14: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

2 pairs adjacent congruent sides

1 pair parallel sides2 pairs parallel

sides

4 right angles4 congruent sidesnon-parallel sides are congruent

Quadrilaterals

Parallelogram

Rectangle

Rhombus

Square

Isosceles Trapezoid

Trapezoid

Kite

A square is a specific case of both a rhombus AND a rectangle, having four right angles and 4 congruent sides.

Page 15: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

Square

• Still has two pairs of parallel sides.

• Has four congruent sides

• Has four right angles

Page 16: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

2 pairs adjacent congruent sides

1 pair parallel sides2 pairs parallel

sides

4 right angles4 congruent sidesnon-parallel sides are congruent

Quadrilaterals

Parallelogram

Rectangle

Rhombus

Square

Isosceles Trapezoid

Trapezoid

Kite

A trapezoid has only one pair of parallel sides.

Page 17: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

2 pairs adjacent congruent sides

1 pair parallel sides2 pairs parallel

sides

4 right angles4 congruent sidesnon-parallel sides are congruent

Quadrilaterals

Parallelogram

Rectangle

Rhombus

Square

Isosceles Trapezoid

Trapezoid

Kite

An isosceles trapezoid is a trapeziod with the non-parallel sides congruent.

Page 18: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

Trapezoid

• has one pair of parallel sides.

Isosceles trapezoidtrapezoids

(Each of these examples shown has top and bottom sides parallel.)

Page 19: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

2 pairs adjacent congruent sides

1 pair parallel sides2 pairs parallel

sides

4 right angles4 congruent sidesnon-parallel sides are congruent

Quadrilaterals

Parallelogram

Rectangle

Rhombus

Square

Isosceles Trapezoid

Trapezoid

Kite

An kite is a quadrilateral with NO parallel sides but 2 pairs of adjacent congruent sides.

Page 20: Quadrilaterals Kimberly A. Yuretich. Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

Example of a Kite

2 in.

4 in.

4 in.

2 in.


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7.2 Angle Relationships in Quadrilaterals …...7.2 Angle Relationships in Quadrilaterals new.notebook March 19, 2017 Ex. 2 A parallelogram is inscribed in a quadrilateral as shown.

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Kite, special member of Quadrilateral family. Family of Quadrilaterals.

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Geometry: Special Quadrilaterals - Math Planemathplane.com/.../special_quadrilaterals_chart_and_quiz.308210805.pdf · Geometry: Special Quadrilaterals ... Special Quadrilateral Properties

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Unit 3 – Quadrilaterals Isosceles Right Triangle Reflectionsmath.rice.edu/~rusmp/curriculum/geometrymodule/PDFdocuments... · The quadrilateral unit explores the interrelations

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Quadrilaterals. Definition A quadrilateral is a closed geometric figure with four sides, four vertices, and four angles. The segments of a quadrilateral.

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Chapter 8: Quadrilaterals - Wikispacesgilespage.wikispaces.com/file/view/chap08.pdf · 308 Chapter 8 Quadrilaterals What You’ll Learn ... of the interior angles of a quadrilateral.

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