Areas of Trapezoids, Rhombi and Kites Chapter 11 Section 2.

Slides:

Advertisements

Similar presentations

Honors Geometry Section 5.2 Areas of Triangles and Quadrilaterals

Advertisements

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

Quadrilateral Venn Diagram

Geometry 11.2 Big Idea: Compute Areas of Trapezoids, Rhombuses and Kites.

Rhombi And Squares Chapter 6 Section 5. Rhombus A rhombus is a parallelogram with four congruent sides.

Quadrilaterals Project

Chapter 6+. The opposite sides of a parallelogram are __________ and __________.

7.4: Areas of Trapezoids, Rhombuses and Kites Objectives: To find the area of a trapezoid, rhombus and kite. To use right triangles in finding area of.

Geometry Warm up.

Areas of Triangles Trapezoids, Rhombuses, and Kites.

Quadrilaterals Bryce Hall 4 Wennersten.

Distance formula 1. 1 Slope 2 2 Midpoint Formula 3.

Activity In your group, you will be given a card. You will be using a Bubble Map to describe the shape. In the middle of the Bubble Map, please draw the.

Direct Analytic Proofs. If you are asked to prove Suggestions of how to do this Two lines parallel Use the slope formula twice. Determine that the slopes.

Objectives: 1) To find the area of a trapezoid, rhombus or a kite.

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

Warmup 6-1 On a half piece of paper find the midpoint, distance, and slope for each. (2, 5), (6, 17) (-2, 3), (4, 6) (7, -3), (4, 10)

Chapter 6: Quadrilaterals

Find the slope of each of the four sides and look for equal slopes. If Both Pairs of Opposite Sides Are parallel, then The quadrilateral Is a By Definition.

Geometry Mr. Zampetti Unit 3, Day 4

Geometry Notes Lesson 4.1B Special Quadrilaterals.

Properties of Quadrilaterals

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

Special Parallelograms. Theorem 6-9 Each diagonal of a rhombus bisects the opposite angles it connects.

Polygons In The Coordinate Plane Chapter 6 Section 7.

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

Quadrilateral Properties

Warm up 1.Factor & Solve: a.x 2 + 9x + 14 = 0 b.x 2 + 2x -15 = 0 c.x 2 – 7x + 15 =45 2. √4 = _____ (this has 2 answers) 3.√9 = _____ (this has 2 answers)

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

=. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The.

Areas of Trapezoids and Kites Objectives: 1) Find the area of trapezoids. 2) Find the area of rhombi and kites.

Warm-Up Find the area: 1.Square with side length 13 2.Triangle with hypotenuse 13 and leg 5 3.Rectangle with base 24 and height 15 4.Parallelogram with.

Go over Quizzes. 7.4 Areas of Trapezoids, Rhombuses(Rhombi) and Kites 3/21.

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

A QUADRALATERAL WITH BOTH PAIRS OF OPPOSITE SIDES PARALLEL

Perimeter & Area of Parallelograms, Trapezoids, Rhombi & Kites.

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

Chapter 8 Quadrilaterals. Section 8-1 Quadrilaterals.

Unit 6-1:Classifying Quadrilateral Parallelogram: A parallelogram is a quadrilateral with both pairs of opposite sides

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.

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

10.2 Areas of Trapezoids, Rhombuses, and Kites

Properties of Quadrilaterals

Geometry SECTION 6: QUADRILATERALS. Properties of Parallelograms.

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.

6.7 Area of Triangles and Quadrilaterals Area Postulates: Postulate 22 Area of a Square: The area of a square is the square of the length of its side,

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

quadrilateral consecutive congruent perpendicular = 90 o congruent bisect.

Quadrilaterals Four sided polygons Non-examples Examples.

Quadrilateral Foldable!

Areas of Trapezoids, Rhombuses, and Kites Chapter 10 Section 2.

Geometry Section 11.2 Areas of Trapezoids, Rhombuses, and Kites.

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

6.5 Trapezoids and kites Base angles Isosceles trapezoids Midsegments.

10.1 Areas of Parallelograms and Triangles

Classifying Quadrilaterals

QUADRILATERALS.

May 1, 2017 Area of Regular Polygons

Objective: To find the area of a trapezoid, kite and a rhombus.

Quadrilaterals and Coordinates Proof

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

6.6 Trapezoids and Kites Geometry R/H.

Unit 6 Quadrilaterals Section 6.5 Properties of Rhombi and Squares

Base angles Isosceles trapezoids Midsegments

11-2 Area of Trapezoids, Rhombi and Kites

Presentation transcript:

Areas of Trapezoids, Rhombi and Kites Chapter 11 Section 2

Area Formulas

Area of a Trapezoid leg b 1 = base 1 b 2 = base 2 h = height Height – the perpendicular distance between the 2 bases. A = ½ h(b 1 + b 2 ) Area of trapezoid Height base

Example 1

Area of a Kite or Rhombus  Rhombus › 4 equal sides. › Diagonals bisect each other. › Diagonals are perpendicular.  Kite › Adjacent sides are congruent › No sides //. › Diagonals are perpendicular A = ½ d 1 d 2 Area of Kites or Rhombi Diagonal One Diagonal Two

Example 2

Review

Have a great day!

Have a great day!!