Coordinates in Geometry
Coordinates in geometry are used to represent specific positions on a coordinate plane. This involves assigning an order to points in all quadrants, understanding the x-axis and y-axis, plotting points accurately, and determining the coordinates of various shapes. By learning to read and plot coordinates effectively, you can explore the relationships between different points in a plane.
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Presentation Transcript
Geometry L.O Read and plot coordinates in all quadrants
What does the word What does the word coordinate coordinate mean? mean? To coordinate means to do something in a set order. So coordinates are a way of ordering things exactly
Key words Quadrant Any quarter of a plane divided by an x and y axis. Coordinates Used to show a position on a coordinate plane or map shown as a pair of letters and/or numbers The first coordinate is the horizontal position (x axis) The second coordinate is the vertical position (y axis)
Examples Coordinates (4,2) - 4 in the horizontal and 2 in the vertical (x,y) - x is horizontal, y is the vertical
(1,6)= (3,2)= (1,3)= (5,3)= (6,0)= (1,4)= (0,2)= (3,2)=
The coordinate of the origin is (__,__) The origin is where the ___axis meets the ____axis The X axis, negative numbers, are to the ______ of the origin. The y axis, negative numbers are _____the origin.
Reading coordinates y 4 3 2 1 x -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4
Plotting coordinates y 4 A(4,5) B(-2,3) C(-5,-6) D(-4,3) 3 2 1 x -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4
Questions Copy the grid on the left and then plot the points y 4 A (3,0) B (-1,3) C (-3,1) 3 2 Plot a fourth point (D) in order to make a rectangle, and write down the coordinates of this point 1 x -4 -3 -2 -1 1 2 3 4 -1 -2 What are the coordinates of the blue dot, red dot and pink dot? -3 -4 Work out the coordinates of the other vertices (corners)? What is the length and width of this rectangle? (-2,3) (5,-5)
Questions Copy the grid on the left and then plot the points y 4 A (3,0) B (-1,3) C (-3,1) 3 2 Plot a fourth point (D) in order to make a rectangle, and write down the coordinates of this point 1 x -4 -3 -2 -1 1 2 3 4 -1 -2 coordinates of the blue dot(4,3), red dot(3,-2) and pink dot(-3,-4) -3 -4 Work out the coordinates of the other vertices (corners)? (5,3) and (-2,-5) What is the length and width of this rectangle? 8 and 7 (-2,3) (5,-5)
Grid Lock First card is horizontal movement (x axis) Second card is vertical movement (y axis) y Need to write down moves 5 4 For example 3 2 Ben (o) Mark (x) 1 (3,4) (2,4) (-3,4) (1,6) x -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 -4 -5
Plenary: These Plenary: These four points corners corners of a of a rectangle rectangle. . four points are the are the (7,3) (-4,-1) How long are the sides of the rectangle? What are the coordinates of the remaining corner? What are the coordinates of the middle?
