Created by chris markstrum © 2005 6.6 Specialized Quadrilaterals California State Standards for Geometry 7: Prove & use theorems involving parallel lines.

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

Special Quadrilaterals

Created by chris markstrum © Proving Quadrilaterals are Parallelograms California State Standards for Geometry 4: Prove basic theorems involving.

Quadrilateral Venn Diagram

Section 8.4 Rhombuses, Rectangles and Squares. Rhombus Quadrilaterals Parallelograms KitesTrapezoids Rectangle Square Isosceles Trapezoid Right Trapezoid.

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

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

Quadrilateral Proofs.

Proving That Figures Are Special Quadrilaterals

8.6 – Identify Special 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.

Chapter 6 Quadrilaterals.

Chapter 6: Quadrilaterals

Geometry Mr. Zampetti Unit 3, Day 4

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.

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

BellWork. Geometry Section 6.6 Outcomes: - You will identify special quadrilaterals by their properties. - You will prove that a quadrilateral is a special.

Chapter 6 Quadrilaterals. Section 6.1 Polygons Polygon A polygon is formed by three or more segments called sides –No two sides with a common endpoint.

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)

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)

6.6 Special Quadrilaterals Day 6. Summarizing Properties of Quadrilaterals Quadrilateral KiteParallelogramTrapezoid RhombusRectangle Square Isosceles.

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

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

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.

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

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

Parallelograms have Properties Click to view What is a parallelogram? A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Midsegments of a Triangle

Obj: SWBAT identify and classify quadrilaterals and their properties

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

8.6 – Identify Special Quadrilaterals. Quadrilaterals Parallelograms Rhombuses Squares Rectangles Trapezoids Isos. Trap. Kites.

Classifying Quadrilaterals Learning Target: I can classify quadrilaterals.

Properties of Quadrilaterals

Geometry SECTION 6: QUADRILATERALS. Properties of Parallelograms.

Unit 7 Quadrilaterals. Polygons Polygon A polygon is formed by three or more segments called sides –No two sides with a common endpoint are collinear.

Created by chris markstrum © Rhombi, Rectangles, and Squares California State Standards for Geometry 4: Prove basic theorems involving congruence.

Quadrilaterals Four sided polygons.

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.

Lesson: Objectives: 6.5 Squares & Rhombi  To Identify the PROPERTIES of SQUARES and RHOMBI  To use the Squares and Rhombi Properties to SOLVE Problems.

Properties of Quadrilaterals (4-sided figures) Learning Target: Students can use coordinates to prove simple geometric theorems algebraically.

Parallelogram Rectangle Rhombus Square Trapezoid Kite

Quadrilaterals Four sided polygons Non-examples Examples.

Advanced Geometry 5.7 Proving Special Quadrilaterals.

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

Quadrilateral Foldable!

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

POLYGONS ( except Triangles)

Unit 2 – Similarity, Congruence, and Proofs

6.4 Rhombi, Rectangles, and Squares

6-4 Properties of Rhombuses, Rectangles, and Squares

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

Parallelogram Rectangle Rhombus Square Trapezoid Kite

Unit 6 Quadrilaterals Section 6.5 Properties of Rhombi and Squares

Some Special Properties of Parallelograms

Y. Davis Geometry Notes Chapter 6.

9-6: Rhombus, Rectangle, and Square

Presentation transcript:

created by chris markstrum © Specialized Quadrilaterals California State Standards for Geometry 7: Prove & use theorems involving parallel lines and properties of quadrilaterals. 8: Solve problems involving perimeter and area. 10: Compute area of polygons 12: Find and use measures of sides and angles of triangles and polygons

created by chris markstrum 2005 quadrilateral relationships Quadrilaterals parallelograms rectangles rhombi squaressquares squaressquares trapezoids kites

created by chris markstrum 2005 quadrilateral relationships quadrilateral kiteparallelogramtrapezoid rhombusrectangle square isosceles trapezoid

created by chris markstrum 2005 Example A quadrilateral has at least one pair of opposite sides congruent. What kind of quadrilateral is it? parallelogram rhombusrectangle square trapezoid isosceles trapezoid kite quadrilateral

created by chris markstrum 2005 Examples A quadrilateral has at least two congruent consecutive sides. What kind of quadrilateral is it? parallelogram rhombus rectangle square trapezoid isosceles trapezoid kite quadrilateral sometimes

created by chris markstrum 2005 B C D A Example The coordinates of a quadrilateral are (-2, 5), (1, 8), (4, 5), and (1, 2) What kind of quadrilateral is it? Explain. x y The quadrilateral is a square

created by chris markstrum 2005 Example In quadrilateral RSTV, What kind of quadrilateral is it? Explain parallelogram rhombusrectangle square trapezoid isosceles trapezoid kite quadrilateral

created by chris markstrum 2005 In quadrilateral RSTV, What kind of quadrilateral is it? Explain kite R S 88 o 113 o V T 46 o and are not supplementary. Example

created by chris markstrum 2005 Property sorry only isosceles XXXX X XX XX XX sorry Both pairs of opp. sides // Exactly one pair of opp. sides are // Both pairs of opp. sides are Exactly 1 pair of opp. sides are All sides are congruent quadrilateral properties

created by chris markstrum 2005 Property sorry X X X XXX X X X X X XXXX X Diagonals are perpendicular Diagonals are congruent Diagonals bisect each other Both pairs of opp. angles are Exactly one pair of opp angles are All angles are congruent quadrilateral properties

created by chris markstrum 2005 Summary What characteristics must be considered when classifying a quadrilateral? Why must a parallelogram with one right angle be a rectangle?