QUESTION NUMBER 1
What are the coordinates of the other corner? (___,___) (-12,30) (-12,-10) (28,-10) What are the coordinates of the other corner?
28 (___,___) (-12,30) (-12,-10) (28,-10) These two points are the same distance along the x axis so they must have the same x coordinate
28 30 (___,___) (-12,30) (-12,-10) (28,-10) These two points are the same height up the y axis so they must have the same y coordinate
QUESTION NUMBER 2
What are the coordinates of the other corner? (3,15) (-11,1) (__,__) (3,-13)
(3,15) (-11,1) (__,__) 17 +11 +3 +14 -11 11 + 3= 14 3 + 14 = 17 (3,-13) It is 14 jumps along the x axis to get to the first corner so it must be another 14 jumps to the next corner 3
(3,15) (-11,1) (__,__) 17 1 These two points are at the same height so they must have the same y coordinate (3,-13)
QUESTION NUMBER 3
What are the coordinates of the point midway between A and B? (-4,12) What are the coordinates of the point midway between A and B? (-14,2) B (6,2) (__,__) A (-4,-8)
(-4,12) (-14,2) (6,2) (__,__) (-4,-8) 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 -13 -14 (-4,12) 10 jumps Half of 10 = 5 5 jumps across = 1 on the x axis (-14,2) B (6,2) (__,__) 1 A (-4,-8)
(-4,12) (-14,2) (6,2) (__,__) (-4,-8) B 1 -3 10 jumps Half of 10 = 5 A 9 8 7 6 5 4 3 11 10 12 -1 -2 -8 -6 -5 -4 -3 -10 -12 -7 -9 -11 -13 -14 (-4,12) (-14,2) B (6,2) (__,__) 1 -3 10 jumps Half of 10 = 5 A 5 jumps down= -3 on the Y axis (-4,-8)
QUESTION NUMBER 4
What are the coordinates of the point midway between A and B? (-7,22) (-17,4) (3,4) B (__,__) A (-7,-14)
(-7,22) (-17,4) (3,4) (__,__) (-7,-14) 10 jumps Half of 10 = 5 5 jumps across = -12 on the x axis (-17,4) (3,4) B +10 -7 -17 (__,__) -12 A (-7,-14)
(-7,22) (-17,4) (3,4) (__,__) (-7,-14) B 14 + 4 = 18 -12 -5 18 jumps +4 14 + 4 = 18 (__,__) -12 -5 18 jumps +14 Half of 18 = 9 A 9 jumps down = -5 on the Y axis (-7,-14) -14
QUESTION NUMBER 5
(-3,16) A (12,16) If this shape is moved (without rotating or changing size) so point A is now at (7,10), what would the new coordinates of point B be? B (12,1) (-3,1) New point B (__,__)
(-3,16) A (12,16) New point A (7,10) B (12,1) (-3,1) New point B 9 8 7 6 5 4 3 11 10 12 -1 -2 -8 -6 -5 -4 -3 -10 -12 -7 -9 -11 13 16 14 15 (-3,16) A (12,16) New point A (7,10) -3 subtract 5 = -8 on the x axis B (12,1) (-3,1) New point B (__,__) The new point is 5 jumps back from the original point. -8
(-3,16) A (12,16) New point A (7,10) B (12,1) (-3,1) New point B 9 8 7 6 5 4 3 11 10 12 -1 -2 -8 -6 -5 -4 -3 -10 -12 -7 -9 -11 13 16 14 15 (-3,16) A (12,16) The new point is 6 jumps down from the original point. New point A (7,10) 1 subtract 6 = -5 on the y axis B (12,1) (-3,1) New point B (__,__) -8 -5
QUESTION NUMBER 6
What are the coordinates of the other corner? (-7,12) (-15,1) (13,-3) (__,__)
(-7,12) These two points will then also have a difference of 8 in their x coordinate (-15,1) -8 -8 -15 13 -7 These two points have a difference of 8 in their x coordinate (13,-3) 13 – 8 = 5 (__,__) 5
(-7,12) 12 These two points have a difference of 11 in their y coordinate -11 1 (-15,1) -3 (13,-3) -11 These two points will also have a difference of 11 in their y coordinate -3 – 11 = -14 (__,__) 5 -14
QUESTION NUMBER 7
What are the coordinates of the point halfway along line AB? (12,7) (-12,1) B (16,1) (__,__) A (-8,-5)
(12,7) (-12,1) B (16,1) 4 (__,__) A (-8,-5) +8 +16 -8 16 8 + 16 = 24 Distance = 24 (-8,-5) Half of 24 = 12 Count back 12 from 16 on x axis = 4
(12,7) (-12,1) B (16,1) (__,__) 4 - 2 A (-8,-5) 1 +1 +5 1 + 5 = 6 Distance = 6 (-8,-5) -5 Half of 6= 3 Count up 3 from -5 on y axis = -2