Angle Relationships involving Quadrilaterals Lesson 3 (4 th Weeks) TEKS 6.6B.

Slides:

Advertisements

Similar presentations

6.3/4 Rhombuses, Rectangles, and Squares. Three Definitions 1.A rhombus is a parallelogram with four congruent sides. 1.A rectangle is a parallelogram.

Advertisements

Quadrilateral Venn Diagram

(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected.

Rhombus and Square.

Polygons with 4 sides and 4 angles

Quadrilaterals.

A Four Sided Polygon! 1.BOTH pairs of opposite sides are parallel 2.BOTH pairs of opposite sides are congruent.

Classifying Quadrilaterals

MG2.3 Draw quadrilaterals and triangles from given information about them (e.g., a quadrilateral having equal sides but no right angles, a right isosceles.

Transparency 5 Click the mouse button or press the Space Bar to display the answers.

Do Now Find the value of x x + 10 = x = = 55 + x 4. x + 2x = 30.

The mathematical study of the properties, measurements, and relationships of points, lines, planes, surfaces, angles, and solids. Geometry.

Properties of Quadrilaterals

7-8 6 th grade math Quadrilaterals. Objective To classify and draw quadrilaterals. Find missing angles in quadrilaterals. Why? To further your knowledge.

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

Polygons – Parallelograms A polygon with four sides is called a quadrilateral. A special type of quadrilateral is called a parallelogram.

Warm up is on the back table. Please get one and start working ♥

Quadrilateral Properties

A plane figure with four sides and four angles.

Next Click HereHere Rectangle-4 right angles Parallelogram - 4 parallel angles Square-4 right angles 4 congruent sides Trapezoid- one pair of parallel.

Geometric Figures: Polygons.

Has 4 sides all side LENGTHS congruent  LENGTHS of opposite sides congruent  both opposite sides PARALLEL  all right ANGLES

Quadrilaterals I by Definition Polygon – a closed many straight- sided figure.

Transparency 4 Click the mouse button or press the Space Bar to display the answers.

Rhombi & Squares Section 8-5. rhombus – a quadrilateral with 4 congruent sides Since a rhombus is a parallelogram, it has all the properties of a parallelogram.

Lesson 6.3/6.4 Objective: To find the two missing lengths of a 30°- 60°- 90°triangle. To classify four sided polygons. In a 30°-60°-90° triangle, The hypotenuse.

The quadrilateral is a parallelogram with 4 sides of equal length. So, it is a rhombus. EXAMPLE 1 Classifying a Quadrilateral Classify the quadrilateral.

Quadrilaterals Objective: Learn to name and classify quadrilaterals.

Geometry SECTION 6: QUADRILATERALS. Properties of Parallelograms.

Quadrilaterals Lesson 11 – 5. Quadrilateral Def: a 4 sided polygon. or ‘ a figure with 4 sides and 4 angles’ **The SUM of the 4 angles must equal 360º**

Quadrilaterals Four sided polygons.

QUADRILATERALS SPI: Identify, define or describe geometric shapes given a visual representation or written description of its properties.

CLASSIFYING QUADRILATERALS OBJ: TO DEFINE AND CLASSIFY SPECIAL TYPES OF QUADRILATERALS.

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 +

Always, Sometimes, or Never

5.4 Quadrilaterals Objectives: Review the properties of quadrilaterals.

Classifying Quadrilaterals

How Can You Tell That All Four of These Figures Are Quadrilaterals? What do they all have in common?

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

Classifications Bowen’s Class. Quadrilateral Any four sided polygon Any four sided polygon.

POLYGONS ( except Triangles)

Objective: Learn to name and classify quadrilaterals.

Preview Warm Up California Standards Lesson Presentation.

Exploring and Classifying Polygons

I can classify quadrilaterals by their properties.

Classifying Quadrilaterals

The simplest closed three-sided geometric figure.

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

Polygons – Parallelograms

Module 15: Lesson 7 Conditions for Rectangles, Rhombi, and Squares

Ch 8 Quadrilaterals Foldable

The simplest closed three-sided geometric figure.

A Parade of Four-Sided Polygons

Quadrilateral Definition: Any closed four-sided figure. Some Examples:

The prefix Tri means 3. Triangle Trilogy Tricycle Trilingual.

Schimmel Quadrilaterals Part 2 CCGPS definitions.

The simplest closed three-sided geometric figure.

Objective - To classify quadrilaterals.

A Square A square is a quadrilateral with all sides congruent and all angles congruent.

RECTANGLE TRAPEZOID QUADRILATERAL RHOMBUS PARALLELOGRAM SQUARE LENGTHS

Quadrilaterals (4-sides) Polygons without 4-sides

Classifying Quadrilaterals

Classifying Quadrilaterals

Objective: Learn to name and classify quadrilaterals.

Classifying Quadrilaterals

6.3 Conditions for Parallelograms

Quadrilaterals Sec 12 – 1D pg

Properties of Parellograms

Go over the Test.

Presentation transcript:

Angle Relationships involving Quadrilaterals Lesson 3 (4 th Weeks) TEKS 6.6B

Quadrilateral Polygon with 4 sides

Special relationship among angles in quadrilaterals all 6 th grade students should know The sum of the measures of the 4 angles in a quadrilateral equals 360°. Rectangles and squares have 4 right (90°) angles. (4 x 90° = 360°)

In parallelograms and rhombi, both pair of opposite angles are congruent and the sum of the measures of any two consecutive angles is 180.

How to determine the missing angle measure in a quadrilateral Step 1: Add together the measures of the 3 known angles. Step 2: Subtract the sum from 360°.

Example Find the measure of N in the figure below. The sum of the measures of the angles in a quadrilateral is 360°.

M measure 140°. O & P measure 90°. 140° 90° + 0°0° ° 320° 0°0°4 - m N= 40°