QUESTION NUMBER 1.

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Presentation transcript:

QUESTION NUMBER 1

(-4,8) (__,__) What are the coordinates of the other corner? (8,-4) (-4,-4)

(-4,8) (__,__) 8 (8,-4) (-4,-4) These two points are the same distance along the x axis so they must have the same x coordinate

These two points are at the same height so they must have the same y coordinate (-4,8) (__,__) 8 8 (8,-4) (-4,-4)

(-4,8) (__,__) 8 8 (-4,-4) (8,-4) 10 9 8 7 6 5 4 3 2 1 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8 9 10 11 12 -2 -3 -4 (-4,-4) (8,-4) -5 -6 -7 -8 -9 -10

QUESTION NUMBER 2

What are the coordinates of the point midway between A and B? (-3,7) (7,7) A B (-3,-3) (7,-3) (__,__)

(-3,7) (7,7) (-3,-3) -3 (7,-3) 7 (__,__) 2 A B 10 jumps Half of 10 = 5 9 8 7 6 5 4 3 11 10 12 -1 -2 -8 -6 -5 -4 -3 -10 -12 -7 -9 -11 (-3,7) (7,7) A B (-3,-3) -3 (7,-3) 7 (__,__) 2 10 jumps Half of 10 = 5 5 jumps across = 2 on the x axis

(-3,7) (7,7) All these points are at the same height so they must have the same y coordinate A B (-3,-3) (7,-3) (__,__) 2 -3

QUESTION NUMBER 3

What are the coordinates of the point at the centre of the square? (7,5) (-1,5) (-1,-3) (7,-3)

3 Middle of square: ( ____,____) (7,5) (-1,5) (-1,-3) -1 (7,-3) 7 10 9 8 3 7 6 (7,5) (-1,5) 5 4 3 2 1 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8 9 10 11 12 -2 (-1,-3) -1 -3 (7,-3) 7 -4 -5 8 jumps -6 Half of 8 = 4 -7 -8 4 jumps across = 3 on the x axis -9 -10

3 1 Middle of square: ( ____,____) (-1,5) 5 (7,5) (-1,-3) -3 (7,-3) 10 9 8 3 1 7 (-1,5) 5 6 (7,5) 5 4 3 2 1 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8 9 10 11 12 -2 (-1,-3) -3 -3 (7,-3) -4 -5 8 jumps -6 Half of 8 = 4 -7 -8 4 jumps down= 1 on the Y axis -9 -10

QUESTION NUMBER 4

What are the coordinates of the other corner? (1,8) (-5,2) (__,__) (1,-4)

1 2 9 8 7 6 5 4 3 11 10 12 -1 -2 -8 -6 -5 -4 -3 -10 -12 -7 -9 -11 (1,8) (-5,2) -5 (__,__) 7 It is 6 jumps along the x axis to get to the first corner so it must be another 6 jumps to the next corner 1 + 6 = 7 (1,-4) 1

1 2 9 8 7 6 5 4 3 11 10 12 -1 -2 -8 -6 -5 -4 -3 -10 -12 -7 -9 -11 (1,8) (-5,2) (__,__) 7 2 These two points are at the same height so they must have the same y coordinate (1,-4)

QUESTION NUMBER 5

What are the coordinates of the point midway between A and B? (-6,5) (10,5) A B (-6,-5) (10,-5) (__,__)

(-6,5) (10,5) (-6,-5) -6 (10,-5) 10 (__,__) 2 16 jumps Half of 16 = 8 9 8 7 6 5 4 3 11 10 12 -1 -2 -8 -6 -5 -4 -3 -10 -12 -7 -9 -11 16 jumps Half of 16 = 8 (-6,5) (10,5) 8 jumps across = 2 on the x axis B A (-6,-5) -6 (10,-5) 10 (__,__) 2

1 2 9 8 7 6 5 4 3 11 10 12 -1 -2 -8 -6 -5 -4 -3 -10 -12 -7 -9 -11 (-6,5) (10,5) All these points are at the same height so they must have the same y coordinate A B (-6,-5) (10,-5) (__,__) 2 -5

QUESTION NUMBER 6

(__,__) What are the coordinates of the other corner? (-8,2) (4,2) (-2,-9)

13 (__,__) -2 These two points are the same distance across so they must have the same x coordinate 12 11 10 9 8 7 6 5 4 3 (-8,2) 2 (4,2) 1 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8 9 10 11 12 -2 -3 -4 -5 -6 -7 (-2,-9) -8 -9

13 (__,__) -2 13 12 It is 11 jumps up the y axis to get to the first corner so it must be another 11 jumps to the top corner 11 10 9 8 7 6 5 2 + 11 = 13 4 3 (-8,2) 2 2 (4,2) 1 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8 9 10 11 12 -2 -3 -4 -5 -6 -7 (-2,-9) -9 -8 -9

QUESTION NUMBER 7

What are the coordinates of the point midway between A and B? (-3,15) (5,3) B (-11,3) (__,__) A (-3,-9)

(-3,15) (5,3) 5 (-11,3) (__,__) 1 (-3,-9) -3 8 jumps Half of 8 = 4 2 9 8 7 6 5 4 3 11 10 12 -1 -2 -8 -6 -5 -4 -3 -10 -12 -7 -9 -11 13 15 14 (-3,15) (5,3) 5 (-11,3) 8 jumps (__,__) 1 Half of 8 = 4 4 jumps across = 1 on the x axis (-3,-9) -3

(-3,15) (5,3) 3 (-11,3) (__,__) 1 -3 (-3,-9) -9 12 jumps 8 7 6 5 4 3 11 10 12 -1 -2 -8 -6 -5 -4 -3 -10 -12 -7 -9 -11 13 15 14 (-3,15) (5,3) 3 (-11,3) 12 jumps (__,__) 1 -3 Half of 12 = 6 6 jumps up = -3 on the y axis (-3,-9) -9