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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Monday, Oct 27 Lesson 6.5.7 Graphing on the Coordinate Plane

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

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

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

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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

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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.

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

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

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

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

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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.

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

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

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

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

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

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

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

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

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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?

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

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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)

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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)

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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

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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?

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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) E F F

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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

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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 units A B 5u 4u C

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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

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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 HG I J K

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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?

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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, 2) (2, 4) (-2, -2) (2, -2)

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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, 2) (2, 4) (-2, -2) (2, -2)

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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 = 4u A = 4u = 16u A A + A = 20u (-2, 2) (2, 4) (-2, -2) (2, -2)

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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?

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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)

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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.

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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.

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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).

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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.

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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