5 Minute Check Identify the ordered pair and the quadrant. 1. D 2. U 3. J 4. M 5. P 6. S

5 Minute Check Identify the ordered pair and the quadrant. 1. D

5 Minute Check Identify the ordered pair and the quadrant. 1. D (3,-5), QIV

5 Minute Check Identify the ordered pair and the quadrant. 2. U

5 Minute Check Identify the ordered pair and the quadrant. 2. U (1, 3), QI

5 Minute Check Identify the ordered pair and the quadrant. 3. J

5 Minute Check Identify the ordered pair and the quadrant. 3. J (-4,-5), QIII

5 Minute Check Identify the ordered pair and the quadrant. 4. M

5 Minute Check Identify the ordered pair and the quadrant. 4. M (5, 4), QI

5 Minute Check Identify the ordered pair and the quadrant. 5. P

5 Minute Check Identify the ordered pair and the quadrant. 5. P (-5, 4), QII

5 Minute Check Identify the ordered pair and the quadrant. 6. S

5 Minute Check Identify the ordered pair and the quadrant. 6. S (-2, 1), QII

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII The next clue is at a location reflected across the x-axis. Where is it located?

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII The next clue is at a location reflected across the x-axis. Where is it located?

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII Maria hid the next clue under a rock by the lake. How many blocks east did she walk to the lake?

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII Maria hid the next clue under a rock by the lake. How many blocks east did she walk to the lake?

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII The final clue tells the hikers to walk 5 blocks north and three blocks east to find the prize. What ordered pair describes the location of the prize?

5 Minute Check Identify the ordered pair and the quadrant. (-2, 1), QII The final clue tells the hikers to walk 5 blocks north and three blocks east to find the prize. What ordered pair describes the location of the prize?

Lesson 6.5.7 Graphing on the Coordinate Plane Monday, Oct 27 Lesson 6.5.7 Graphing on the Coordinate Plane

Graphing on the Coordinate Plane Objective: To understand how to graph geometric shapes on the coordinate plane.

Graphing on the Coordinate Plane A coordinate plane is a grid with a vertical y-axis and horizontal x-axis. y-axis x-axis

Graphing on the Coordinate Plane The center of the coordinate plane is called the origin. y-axis origin x-axis

Graphing on the Coordinate Plane The coordinate plane is divided into four quadrants. Quadrant II y-axis Quadrant I origin x-axis Quadrant III Quadrant IV

Graphing on the Coordinate Plane You can use an ordered pair (x,y) to locate any point on the plane. The first number in an ordered pair is the x-coordinate. The second number in an ordered pair is the y-coordinate.

Graphing on the Coordinate Plane Name the ordered pair and quadrant.

Graphing on the Coordinate Plane Name the ordered pair and quadrant. (-3,5), QII (-3, 5)

Graphing on the Coordinate Plane Name the ordered pair and quadrant.

Graphing on the Coordinate Plane Name the ordered pair and quadrant. (-2.5,-3), QIII (-2.5, -3)

Graphing on the Coordinate Plane What point is the reflection of (2,-4) across the x-axis? Remember – when graphing a reflection the coordinate of the axis of reflection stays the same.

Graphing on the Coordinate Plane What point is the reflection of (2,-4) across the x-axis? (2, 4) (2, -4)

Graphing on the Coordinate Plane What point is the reflection of (-1.5, 3) across the y-axis?

Graphing on the Coordinate Plane What point is the reflection of (-1.5, 3) across the y-axis? (-1.5, 3) (1.5, 3)

Graphing on the Coordinate Plane What point is the reflection of (-1, -5) across the x-axis?

Graphing on the Coordinate Plane What point is the reflection of (-1, -5) across the x-axis? (-1, 5) (-1, -5)

Graphing on the Coordinate Plane What point is the reflection of (2, 3.5) across the y-axis?

Graphing on the Coordinate Plane What point is the reflection of (2, 3.5) across the y-axis? (-2, 3.5) (2, 3.5)

Graphing on the Coordinate Plane Create a square using the given points as vertices. What are the other points? (-4, 4) (1, 4)

Graphing on the Coordinate Plane Create a square using the given points as vertices. What are the other points? (-4, -1) and (1, -1) (-4, 4) (1, 4) And?

Graphing on the Coordinate Plane Create a square using the given points as vertices. What are the other points? (-4, 4) (1, 4) And?

Graphing on the Coordinate Plane Create a square using the given points as vertices. What are the other points? (-4, 4) (1, 4) (1,9) and (-4, 9)

Graphing on the Coordinate Plane Create a square with the given points. What are the other points? What is the perimeter of the square? (-4, 4) (1, 4)

Graphing on the Coordinate Plane Create a square with the given points. What are the other points? What is the perimeter of the square? 5 units · 4 = 20 units (-4, 4) (1, 4) 5 u

Graphing on the Coordinate Plane Graph points at E(-1,-4) and F(-3.5,4). Reflect point F across the x-axis and connect all the points. What is the shape?

Graphing on the Coordinate Plane Graph points at E(-1,-4) and F(-3.5,4). Reflect point F across the x-axis and connect all the points. What is the shape? A triangle with vertices at (-3.5, 4), (-3.5, -4) and (-1,-4) F E F’

Graphing on the Coordinate Plane Draw the triangle A(3,1), B(-2,1) and C(-2,5). What is the area of the triangle? A∆ = b · h ÷ 2

Graphing on the Coordinate Plane Draw the triangle A(3,1), B(-2,1) and C(-2,5). What is the area of the triangle? A∆ = b · h ÷ 2 A∆ A∆ = 5u · 4u ÷ 2 A∆ = A∆ = A∆ = A∆ = A∆ = 10 units² C 4u A B 5u

Graphing on the Coordinate Plane Draw the points G(-3,5), H(3,5), I(5,0), J (0,-4) and K(-5,0) and connect in alphabetical order. Connect K to G. What is the shape? A∆ A∆ = A∆ = A∆ = A∆

Graphing on the Coordinate Plane Draw the points G(-3,5), H(3,5), I(5,0), J (0,-4) and K(-5,0) and connect in alphabetical order. Connect K to G. What is the shape? A pentagon A∆ A∆ = A∆ = A∆ = A∆ G H I K J

Graphing on the Coordinate Plane Mr. Avery is using the coordinate plane to design a logo. He graphs points at (2,4) and (-2,2). He reflects (-2, 2) across the x-axis, then he reflects the new point across the y-axis. What shape is the logo?

Graphing on the Coordinate Plane Mr. Avery is using the coordinate plane to design a logo. He graphs points at (2,4) and (-2, 2). He reflects (-2, 2) across the x-axis, then he reflects the new point across the y-axis. What shape is the logo? The shape is a trapezoid. (2, 4) (-2, 2) (-2, -2) (2, -2)

Graphing on the Coordinate Plane Mr. Avery is using the coordinate plane to design a logo. He graphs points at (2,4) and (-2, 2). He reflects (-2, 2) across the x-axis, then he reflects the new point across the y-axis. What shape is the logo? Can you determine the area of the trapezoid? (2, 4) (-2, 2) (-2, -2) (2, -2)

Graphing on the Coordinate Plane Mr. Avery is using the coordinate plane to design a logo. He graphs points at (2,4) and (-2, 2). He reflects (-2, 2) across the x-axis, then he reflects the new point across the y-axis. A∆ = b · h ÷ 2 A∆ = 2 · 4 ÷ 2 = 4u² A = 4u² = 16u² A∆ A∆ + A = 20u² (2, 4) (-2, 2) (-2, -2) (2, -2)

Graphing on the Coordinate Plane Three vertices of a quadrilateral are (-1,-1), (1,2) and (5,-1). What are the coordinates of the two vertices that will form two different parallelograms?

Graphing on the Coordinate Plane Three vertices of a quadrilateral are (-1,-1), (1,2) and (5,-1). What are the coordinates of the two vertices that will form two different parallelograms? (-5,2) (7,2)

Graphing on the Coordinate Plane Determine whether each statement is sometimes, always, or never true. Give an example or a counterexample. When a point is reflected across the y-axis, the new point has a negative x-coordinate.

Graphing on the Coordinate Plane Determine whether each statement is sometimes, always, or never true. Give an example or a counterexample. When a point is reflected across the y-axis, the new point has a negative x-coordinate. Sometimes; The x-coordinate of the new point will be negative if the x-coordinate if the original point is negative.

Graphing on the Coordinate Plane Determine whether each statement is sometimes, always, or never true. Give an example or a counterexample. The point (x,y) is reflected across the x-axis. The new point is reflected across the y-axis. The location of the point after both reflections is (-x,-y).

Graphing on the Coordinate Plane Determine whether each statement is sometimes, always, or never true. Give an example or a counterexample. The point (x,y) is reflected across the x-axis. The new point is reflected across the y-axis. The location of the point after both reflections is (-x,-y). Always; The coordinates be the opposites of the original following both reflections.

Graphing on the Coordinate Plane Agenda Notes Homework – Homework Practice 6.5.7 Due Tuesday, Oct 28 Show all work. Chapter 6.5 Test -Wednesday, Oct 29 Accum Rev 5 due by Oct 29