Lesson 3.5: 1.Warm Up/Homework 2.Constructing Parallel Lines.

Slides:

Advertisements

Similar presentations

Warm Up The lengths of three sides of a triangle are given. Classify the triangle , 12, , 10, , 15, 26 equilateral scalene isosceles.

Advertisements

3.8 Slopes of Parallel and Perpendicular Lines

Lesson 6.5 Parallel and Perpendicular Lines

Agenda Lesson 5-5 – Parallel and Perpendicular Lines Standards 7.0 Derive linear equations by using the point-slope formula 8.0 Understand the concept.

3.8 Slopes of Parallel and Perpendicular Lines

5.2: Areas of Triangles, Parallelograms and Trapezoids

 Calculate the perimeter & area for each figure..

CLASSIFYING QUADRILATERALS DAY 2. Bellwork  Please begin working on P 293 (60-63)

Quadrilaterals in the Coordinate Plane I can find the slope and distance between two points I can use the properties of quadrilaterals to prove that a.

Section 6-1: Classifying Quadrilaterals March 13, 2012.

Lesson 10-4 Pages Quadrilaterals Lesson Check 10-3.

6.7 Polygons in the Coordinate Plane

Geometry Notes Lesson 4.1B Special Quadrilaterals.

Tests for Parallelograms

Holt CA Course Coordinate Geometry Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Perpendicular Lines Sec 3.7 Goals: To identify perpendicular lines using slope To write equations of perpendicular lines.

WARM UP RATIOS Convert the units. (Lesson 3.8) 1.5 days to hours 2.36 inches to feet 3.12 years to months 3.

Warm Up Given: (3, -5) and (-2, 1) on a line. Find each of the following: 1.Slope of the line 2.Point-Slope equation of the line 3.Slope-Intercept equation.

Proving Properties of Special Quadrilaterals

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.

Drill #20* Find the slope of the line passing through the following points: 1.( 3, 6), ( 7, 9) 2.( -1, -2 ), ( 4, 5 ) 3.( 4, 2 ), ( -2, -5 )

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

Coordinate Geometry Adapted from the Geometry Presentation by Mrs. Spitz Spring 2005

Chapter 6: Quadrilaterals

UNIT 7 LESSON 4B PROVING PARALLELOGRAMS CCSS G-CO 11: Prove theorems about parallelograms. LESSON GOALS Use properties of parallelograms to prove that.

6.3 TESTS FOR PARALLELOGRAMS. If… Both pairs of opposite sides are parallel Both pairs of opposite sides are congruent Both pairs of opposite angles are.

Algebra 1 Notes Lesson 5-6: Parallel and Perpendicular Lines.

2.3c: Quadrilaterals M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems.

Proving Parallelograms: Coordinate Geometry Unit 1C3 Day 4.

Statements Reasons Page Given 2. A segment bisector divides a segment into two congruent segments 5. CPCTC 3. Vertical angles are congruent 6. If.

3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes.

Section 6.5: Parallel and Perpendicular Lines Objectives: Determine whether lines are parallel Determine whether lines are perpendicular Write equations.

Warm up Solve for y. Are any of the lines parallel or perpendicular? 1. 2x + 3y = x – 2y = 8 3. x – ½ y = 6.

Quadrilaterals Objective: Learn to name and classify quadrilaterals.

Chapter 6 Lesson 1 Objective: To define and classify special types of quadrilaterals.

Go over Ch 5 Test. 6.1 Classifying Quadrilaterals 2/18 and 2/19.

6.3 Area of a Trapezoid Mme DiMarco.  Learning Goal: use a formula to find the area of a trapezoid Learning Goal.

Proving Properties of Triangles and Quadrilaterals

 Find x and  ABCD is a parallelogram and AB is twice BC. If the perimeter of the parallelogram is 24, find CD.

Geometry Section 6.3 Conditions for Special Quadrilaterals.

Geometry Lesson 6 – 4 Rectangles Objective: Recognize and apply properties of rectangles. Determine whether parallelograms are rectangles.

In this lesson you will learn how to prove or disprove that 4 points in the coordinate plane make a rectangle.

Geometry 7-1a Area of Parallelograms. Vocabulary Area – The measure of a figure enclosed by the figure Base – Any side of a rectangle Height – Length.

Warm Up Find the slope and distance between the points: 1. A(3,-2) B(-4,-9) 2. C(0,-3) D(2,-4)

Geometry 3.4 Leavin’ on a Jet Plane.

6-7 Polygons in the Coordinate Plane. Classifying Quadrilaterals Given the coordinates of the vertices, how would you determine if the quadrilateral is…

G-05 “I can use coordinates to prove and apply properties of parallelograms.” Parallelogram, rectangle, rhombus and squares.

10-4 Perimeter and Area in the Coordinate Plane Warm Up

Aim: How can we solve coordinate quadrilateral proofs

Bell work: Turn in when completed

Objective: Learn to name and classify quadrilaterals.

Warm Up The warm up worksheet is on the podium. Do the odds only. Answers will be up shortly. DO NOT LOSE THIS WORKSHEET!!! After the warm up, begin the.

Continuation of MVP 8.3 PROVE IT!

Math 1 Warm Up Practice 11-2 (p. 148) #1, 2, 10, 18, 19, 23, 39, 42

Quadrilaterals and Coordinates Proof

Perimeter and Area of Rectangles on the Coordinate Plane

6.5 Rhombi and Squares.

6-3: Tests for Parallelograms

Warm Up Problem Find the area of the trapezoid..

Perpendicular Lines in the Coordinate Plane

A plane figure with 4 sides and 4 angles

Day 106 – Introduction to quadrilaterals

Warm-up Solve for y. Are any of the lines parallel or perpendicular?

6-7 Polygons in the Coordinate Plane

Warm up Find the midpoint of points (2, -3) and (-14, 0)

Quadrilaterals on the Coordinate Plane

6.3 Proving Quadrilaterals are Parallelograms

Warm up Solve for y. Are any of the lines parallel or perpendicular?

3.8 Slopes of Parallel and Perpendicular Lines

Presentation transcript:

Lesson 3.5: 1.Warm Up/Homework 2.Constructing Parallel Lines

Warm Up: On your own paper, please do the following: p. 161: #9

Constructing Parallel Lines: On page 163, there are instructions for constructing parallel lines by using patty paper. Please follow the directions, construct parallel lines and then staple the patty paper into your notes.

Constructing Parallel Lines: Now we are going to construct a line parallel to another line through a point not on the line. Follow the steps as you watch me demonstrate. We will add these to your Learning Targets Handout.

Steps for Parallel Lines Construction:

Group Practice: P. 164: #4 When you finish, write the formula for slope: m =

Slopes of Parallel Lines: Parallel Slope Property – In a coordinate plane, two distinct lines are parallel if and only if their slopes are _____________, or they are both vertical lines.

Slopes of Perpendicular Lines: Perpendicular Slope Property – In a coordinate plane, two non-vertical lines are perpendicular if and only if their slopes are __________________________________.

Example #1:

Example #2: Find the slope of each side and then determine whether each figure is a trapezoid, a parallelogram, a rectangle, or just an ordinary quadrilateral.

Homework: P : 2, 5, 7, 8, P. 169: 1, 2, 9