Question

2 plot the points shown by the following coordinates on the coordinate plane on the right and fill the appropriate numbers or words in the blanks.
a-l 2 points per question (1)-(4) 4 points per question
a (2, 6) b (-2, 6) c (5, 3)
d (-5, 3) e (7, 1) f (-4, 2)
g (7, -1) h (-4, -2) i (3, 7)
j (1, 1) k (0, -2) l (-3, -7)
(1) point c is the point where point a was moved
□ units right and □ units down.
(2) point d is the point where point b was moved
□ units left and □ units down.
(3) point j is the point where point b was moved
□ units □ and □ units □.
(4) given square fhkm is made by plotting three points f, h, k and another point m, find the coordinates of point m.
(ans.) (_, _)
3 find the coordinates of the points below.
4 points per question
(1) find the coordinates of a point, given that the point (1, 1) was moved 5 units up.
(ans.) (_, _)
(2) find the coordinates of a point, given that the point (1, 1) was moved 5 units right.
(ans.) (_, _)
(3) find the coordinates of a point, given that the point (-1, -1) was moved 5 units left.
(ans.) (_, _)
(4) find the coordinates of a point, given that the point (-1, -1) was moved 2 units down.
(ans.) (_, _)
(5) find the coordinates of a point, given that the point (5, 5) was moved 5 units right and 6 units down.
(ans.) (_, _)
(6) find the coordinates of a point, given that the point (-2, 3) was moved 2 units left and 3 units up.
(ans.) (_, _)

Explanation:

Step1: Calculate horizontal shift for A→C

$\Delta x = 5 - 2 = 3$

Step2: Calculate vertical shift for A→C

$\Delta y = 3 - 6 = -3$ (3 units down)

Step3: Calculate horizontal shift for B→D

$\Delta x = -5 - (-2) = -3$ (3 units left)

Step4: Calculate vertical shift for B→D

$\Delta y = 3 - 6 = -3$ (3 units down)

Step5: Calculate horizontal shift for B→J

$\Delta x = 1 - (-2) = 3$ (3 units right)

Step6: Calculate vertical shift for B→J

$\Delta y = 1 - 6 = -5$ (5 units down)

Step7: Find square side vector F→H

$\overrightarrow{FH} = (-4 - (-4), -2 - 2) = (0, -4)$

Step8: Calculate point M from K

$M = K + \overrightarrow{FH} = (0 + 0, -2 + (-4)) = (0, -6)$

Step9: Shift (1,1) 5 units up

New $y = 1 + 5 = 6$, coordinate: $(1, 6)$

Step10: Shift (1,1) 5 units right

New $x = 1 + 5 = 6$, coordinate: $(6, 1)$

Step11: Shift (-1,-1) 5 units left

New $x = -1 - 5 = -6$, coordinate: $(-6, -1)$

Step12: Shift (-1,-1) 2 units down

New $y = -1 - 2 = -3$, coordinate: $(-1, -3)$

Step13: Shift (5,5) right 6, down 6

New $x = 5 + 5 = 10$, new $y = 5 - 6 = -1$, coordinate: $(10, -1)$

Step14: Shift (-2,3) left 2, up 3

New $x = -2 - 2 = -4$, new $y = 3 + 3 = 6$, coordinate: $(-4, 6)$

Answer:

Question 2

(1) 3, 3
(2) 3, 3
(3) 3, right, 5, down
(4) $(0, -6)$

Question 3

(1) $(1, 6)$
(2) $(6, 1)$
(3) $(-6, -1)$
(4) $(-1, -3)$
(5) $(10, -1)$
(6) $(-4, 6)$