What are the x- and y-intercepts of the function graphed at the right ? a. (0,2) and (0,3) b. (2,0) and (0,-3) c. (0,-2) and (3,0) d. (0,2) and (3,0) 5.1.

Slides:



Advertisements
Similar presentations
6-2 Properties of Parallelograms
Advertisements

Chapter 6 Quadrilaterals.
Proving that a Quadrilateral is a Parallelogram
6.2 Properties of Parallelograms
6-3 Proving That a Quadrilateral Is a Parallelogram
Proving Quadrilaterals are Parallelograms - Sec 6.3 GOALS: To prove a quadrilateral is a parallelogram (6 ways to do so!)
A Study of all things 4 sided. Quadrilaterals Parallelograms.
Parallelograms Unit 8.2. What is a parallelogram Definition: a parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Polygons – Parallelograms A polygon with four sides is called a quadrilateral. A special type of quadrilateral is called a parallelogram.
What is a Parallelogram? A quadrilateral with both pairs of opposite sides parallel. Symbol for parallelogram: ___________ of parallelograms can serve.
6.3 Proving Quadrilaterals are Parallelograms Day 3.
6.3 Proving Quadrilaterals are Parallelograms Learning Target I can use prove that a quadrilateral is a parallelogram.
Class Opener 1/5/12 Use the properties of a kite to determine the value of each variable and each side length 3x - 4 x 2y - 5 Y + 1.
5.2 Proving Quadrilaterals are Parallelograms Definition of Parallelogram: Both pairs of opposite sides are parallel.
6.3 Showing Quadrilaterals are Parallelograms Textbook pg 316.
Ways of proving a quadrilaterals are parallelograms Section 5-2.
8.2 Parallelograms. Objectives  Recognize and apply properties of the sides and angles of parallelograms.  Recognize and apply properties of the diagonals.
Rhombus 1.Both pairs of opposite sides are parallel 2. Both pairs of opposite sides are congruent 3. Both pairs of opposite angles are congruent 4. Consecutive.
Geometry 6-4 Rhombus Opposite sides parallel? Opposite sides congruent? Opposite angles congruent? Consecutive angles supplementary? Diagonals congruent?
Geometry 6-4 Properties of Rhombuses, Rectangles, and Squares.
Special parallelograms. PropertyParallelogramRhombusRectangleSquare All sides congruent XX Opposite sides congruent XXXX Opposite sides parallel XXXX.
Statements Reasons Page Given 2. A segment bisector divides a segment into two congruent segments 5. CPCTC 3. Vertical angles are congruent 6. If.
You pay a $5 processing fee to order tickets no matter how many tickets you order. Each ticket costs $18. Which expression best represents the total cost.
A D B C Definition: Opposite Sides are parallel.
Suppose the line shown is translated 2 units to the left and 1 unit down. Which point would lie on the translated line ? a. (-2,-2) b. (-1,1) c. (0,2)
Chapter 6 Lesson 2 Objective: To use relationships among diagonals, angles and sides of parallelograms.
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 +
7.2 Parallelograms. Definition: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Consecutive angles Opposite angles.
6-2 Properties of Parallelograms. Quadrilaterals In a quadrilateral, opposite sides do not share a vertex and opposite angles do not share a side. – In.
Parallelograms Properties & Attributes. Parallelograms …are quadrilaterals in which both pairs of opposite sides are parallel If a quadrilateral is a.
Unit 8 Part 2 Properties of Quadrilaterals Squares and Rhombi.
Interior and exterior angles. Exterior and interior angles are supplementary.
Sections  A parallelogram must have:  Both pair of opposite sides congruent  Both pair of opposite angles congruent  Consecutive angles that.
Lesson 5-3 Theorems Involving Parallel Lines (page 177) Essential Question How can the properties of quadrilaterals be used to solve real life problems?
Rhombus – a quadrilateral with ______ _________ _________ ________
Properties of Parallelograms
6-2 Properties of Parallelograms
6.2 Properties of Parallelograms
8.2 Parallelograms.
: Parallelograms Objectives:
Parallelograms.
6-2B Proving Quadrilaterals Are Parallelograms
Chapter 5 -- Quadrilaterals
Ways to Prove Quadrilaterals are Parallelograms
Polygons – Parallelograms
Parallelograms Parallelogram - A quadrilateral with both pairs of opposite sides parallel. Theorem 8.3 Opposite sides of a parallelogram are congruent.
Properties of Parallelograms
6-2 Properties of Parallelograms
Parallelogram Definition: A quadrilateral with two pairs of parallel sides. Picture: Marked parallel and congruent.
6.2 Properties of Parallelograms
Section 5-1 Parallelograms.
Six Properties of Parallelograms
8.2 Use Properties of Parallelograms
Unit 6 Quadrilaterals Section 6.5 Properties of Rhombi and Squares
Unit 6 Quadrilaterals Section 6.1 Properties of Parallelograms
6-3 Tests for Parallelograms
Lesson 61 Determining if a Quadrilateral is a Parallelogram
6.3 Proving Quadrilaterals are Parallelograms
Properties of Parellograms
Unit 6 Quadrilaterals Section 6.3 Properties of Rectangles
6-1 Parallelograms Objectives:
6.2 and 6.3: Quadrilaterals and Parallelograms
Module 15: Lesson 6 Properties of Parallelograms
6.3 Conditions for Parallelograms
Proving Quadrilaterals Are Parallelograms
Properties of Parallelograms
6.3 Proving Quadrilaterals and Parallelograms
8.2 Parallelograms.
Properties of Parellograms
Bellringer Can a triangle have the sides with the given lengths? Explain 8mm, 6mm, 3mm 5ft, 20ft, 7ft 3m, 5m, 8m.
Presentation transcript:

What are the x- and y-intercepts of the function graphed at the right ? a. (0,2) and (0,3) b. (2,0) and (0,-3) c. (0,-2) and (3,0) d. (0,2) and (3,0) 5.1 warm-up x y

6.2 Properties of Parallelograms

Parallelograms Opposite sides are congruent Opposite angles are congruent Diagonals bisect each other Pardekooper

Lets try some problems x Find x in a Parallelogram: Opposite angles are congruent x=127 Same side angles are supplementary y0y y=53 0

Lets try some problems x0x Find x: x0x Pardekooper Same side angles are supplementary X + 55 = 180 X = X = 125

Lets try some problems 2x+4 7x-1 Find x: Remember opposite sides are congruent. 2x + 4 = x = x x = 3 Pardekooper

Now find the sides 2x+4 7x-1 Find x: 6x + 2 6(3) x x - 1 7(3) x + 4 2(3) Pardekooper

Just one more item If three (or more) parallel lines cut off congruent segments on one transversal, then they will cut off congruent segments on every transversal.

Here comes the assignment.