Day 51: April 20 th Objective: Introduce proof, and learn more properties of parallelograms and kites. ***N EW S EATS ***  HW Check/Correct in RED AND…

Slides:



Advertisements
Similar presentations
Other Types of Quadrilaterals: Rectangles, Rhombi, Squares Trapezoids, Kites.
Advertisements

Triangles and Quadrilaterals
Quadrilateral Venn Diagram
Honors Geometry Section 4.5 (3) Trapezoids and Kites.
Trapezoids and Kites Chapter 6 Section 6 Tr.
6-6 Trapezoids and Kites.
Trapezoids and Kites Section 8.5.
Proving That Figures Are Special Quadrilaterals
8.6 – Identify Special Quadrilaterals
Quadrilaterals Chapter 8.
Bellwork  Solve for x x-2 5x-13 No Clickers. Bellwork Solution  Solve for x x-2 5x-13.
Chapter 6: Quadrilaterals
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.
5.11 Use Properties of Trapezoids and Kites. Vocabulary  Trapezoid – a quadrilateral with exactly one pair of parallel sides. Base Base Angle Leg.
Geometry Section 8.5 Use Properties of Trapezoids and Kites.
 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.
Geometry Section 6.5 Trapezoids and Kites. A trapezoid is a quadrilateral with exactly one pair of opposite sides parallel. The sides that are parallel.
Trapezoids and Kites Section 6.5.
5.7: Proofs Using Coordinate Geometry Expectations: G1.1.5: Given a line segment in terms of its endpoints in the coordinate plane, determine its length.
Special Quadrilaterals
A QUADRALATERAL WITH BOTH PAIRS OF OPPOSITE SIDES PARALLEL
Special Quadrilaterals
Use properties of polygons—including quadrilaterals and regular polygons—to define them, classify them, solve problems and logically justify results.
Welcome BACK!!. I know you feel like this, but… We have work to do. What do we know about parallelograms? Special parallelograms?
WARM UP With a partner, quiz each other on the properties of a: Parallelogram Kite Square Rectangle Isosceles Trapezoid.
8.6 – Identify Special Quadrilaterals. Quadrilaterals Parallelograms Rhombuses Squares Rectangles Trapezoids Isos. Trap. Kites.
PROPERTIES AND ATTRIBUTES OF POLYGONS
Geometry SECTION 6: QUADRILATERALS. Properties of Parallelograms.
Quadrilaterals Four sided polygons.
5.4 Quadrilaterals Objectives: Review the properties of quadrilaterals.
Properties of Quadrilaterals (4-sided figures) Learning Target: Students can use coordinates to prove simple geometric theorems algebraically.
Chapter 6, Section 1 Polygons. Describing a Polygon An enclosed figure (all segments) Two segments a point called a vertex Each segment is called.
Quick Discussion 10.1 Squares and Rectangles 10.2 Parallelograms and Rhombi 10.3 Kites and Trapezoids.
7/1/ : Properties of Quadrilaterals Objectives: a. Define quadrilateral, parallelogram, rhombus, rectangle, square and trapezoid. b. Identify the.
Section 6-5 Trapezoids and Kites. Trapezoid A quadrilateral with exactly one pair of parallel sides.
Bell work: Turn in when completed
Chapter 7 Review.
Do Now: List all you know about the following parallelograms.
QUADRILATERALS.
POLYGONS ( except Triangles)
Unit 2 – Similarity, Congruence, and Proofs
8.6 – Identify Special Quadrilaterals
Trapezoids and Kites Section 7.5.
Quadrilaterals.
Geometry Quick Discussion 10.1 Squares and Rectangles
Quadrilaterals and Coordinates Proof
6.4 Rhombi, Rectangles, and Squares
Polygons and Quadrilaterals
Quadrilaterals and Coordinates Proof
8.6 – Identify Special Quadrilaterals
Day 51: November 16th Objective: Create regular polygons with a hinged mirror, and use reflection and congruence to learn more about the central angle.
Factor & Solve: x2 + 9x + 14 = 0 x2 + 2x -15 = 0 x2 – 7x + 15 =45
Chapter 7 Proofs and Conditional Probability
Lesson 6-5: Trapezoid & Kites
Chapter 7 Proofs and Conditional Probability
Geometry/Trig Name: __________________________
Lesson 6-5: Trapezoid & Kites
Unit 6 Quadrilaterals Section 6.5 Properties of Rhombi and Squares
Special Quadrilaterals
What is a quadrilateral??
Lesson 6-5 Trapezoids and Kites.
Quadrilaterals Brett Solberg AHS ‘11-’12.
Y. Davis Geometry Notes Chapter 6.
What are the main properties of Trapezoids and Kites?
Using Coordinate algebra, definitions, and properties
Unit 6 – Polygons and Quadrilaterals Conditions for Special Quads
Presentation transcript:

Day 51: April 20 th Objective: Introduce proof, and learn more properties of parallelograms and kites. ***N EW S EATS ***  HW Check/Correct in RED AND…  Do PAGE 3 in Congruence Packet INDEPENDENTLY – hand-in!  Take Notes in LL on Math Notes – Page 346  Define/Take Notes on “Reflexive Property” HINT: Use glossary!  Field questions about Problem 6-49  Read Intro. to Chapter 7 and discuss first few lessons  Two Proof Examples to lead into the next section  Problems 7-44 to 7-46, 7-48 Homework:Problems 7-6 to 7-10 AND 7-14 to 7-18

Day 52: April 21 st Objective: Introduce proof, and learn more properties of parallelograms and kites. THEN Use congruent triangles to prove properties of rhombi, and practice using a flowchart structure to organize a proof. THEN Continue developing flowchart proofs as a way to communicate a logical argument, and prove that all rectangles are also parallelograms.  HW Check/Correct in RED AND…  Do PAGE 4 in Congruence Packet INDEPENDENTLY – hand-in!  Problems 7-46, 7-48  Problems 7-54 to 7-57  Start Problems 7-64 to 7-65? Homework:Problems 7-27 to 7-35

Day 53: April 22 nd Objective: Use congruent triangles to prove properties of rhombi, and practice using a flowchart structure to organize a proof. THEN Create regular polygons with a hinged mirror, and use reflection and congruence to learn more about the central angle of these shapes. Also, learn more about the diagonals of rhombi.  HW Check/Correct in RED  Problems 7-55 to 7-57  Problems 7-36 to 7-38 Homework:Problems 7-39 to 7-43 AND 7-49 to 7-53 (Skip 51) Chapter 6-7 Team Test Next Friday (?)

Day 54: April 25 th Objective: Continue developing flowchart proofs as a way to communicate a logical argument, and prove that all rectangles are also parallelograms. THEN Write flowchart proofs to demonstrate additional properties of quadrilaterals and isosceles triangles. THEN Continue to learn how to build a convincing argument, and learn the format of a two-column proof.  HW Check/Correct in RED & Do Page 1 in Quad. Properties Packet  Problems 7-63 to 7-65  Problem 7-71 in Skeletons Packet & Convert to 2-Column Format  Problem 7-78 Homework:Problems 7-58 to 7-62 AND 7-66 to 7-70 Chapter 6-7 Team Test Friday

Day 55: April 27 th Objective: Continue to learn how to build a convincing argument, and learn the format of a two-column proof. THEN Continue to develop proof-writing skills while proving new properties of triangles and quadrilaterals. Also, prove theorems involving similar triangles and those requiring auxiliary lines to be added to a diagram. THEN Investigate quadrilaterals for special properties, such as parallel sides or a right angle. Also, review many algebraic tools, and apply these skills to analyze shapes on a coordinate grid.  HW Check/Correct in RED & Do Page 2 in Quad. Properties Packet  Convert Proofs from 7-71 into 2-Column Format  Problem 7-88  Toolkit Additions: Triangle Midsegment Theorem; Isosceles Trapezoid  Look at common theme in Problems 7-29, 60, 69  Problems 7-98 to Homework:Problems 7-72 to 7-76 AND 7-83 to 7-87 Chapter 6-7 Team Test Friday

Theorem Toolkit

Day 56: April 28 th Objective: Investigate quadrilaterals for special properties, such as parallel sides or a right angle. Also, review many algebraic tools, and apply these skills to analyze shapes on a coordinate grid.  HW Check/Correct in RED & Do Page 3 in Quad. Properties Packet  Problems 7-99 to  Problems to  LL Entry: Midpoint  Last two proofs in Proof Skeletons Packet Homework:Problems 7-72 to 7-76 AND 7-83 to 7-87 Chapter 6-7 Team Test Tomorrow