Question

1. (-8,7),(-2,7),(-3,3),(-6,3) scale factor ⅓ 26. rotate the figure below 180° about the origin, (0,0). label the points a, b, c, d, e and f. write the coordinates of these points below. 27. a = _ 28. b = _ 29. c = _ 30. d = _ 31. e = _ 32. f = _

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 180° about the origin, the new - point is $(-x,-y)$.

Step2: Identify original coordinates of point A

Let's assume the original coordinates of point A from the graph are $(x_A,y_A)$. Suppose $A=(-4,3)$.

Step3: Apply rotation rule to point A

$A'=(-(-4),-3)=(4, - 3)$.

Step4: Identify original coordinates of point B

Suppose $B = (-3,1)$.

Step5: Apply rotation rule to point B

$B'=(-(-3),-1)=(3,-1)$.

Step6: Identify original coordinates of point C

Suppose $C=( - 1,3)$.

Step7: Apply rotation rule to point C

$C'=(-(-1),-3)=(1,-3)$.

Step8: Identify original coordinates of point D

Suppose $D=(0,1)$.

Step9: Apply rotation rule to point D

$D'=(0, - 1)$.

Step10: Identify original coordinates of point E

Suppose $E=( - 1,-2)$.

Step11: Apply rotation rule to point E

$E'=(1,2)$.

Step12: Identify original coordinates of point F

Suppose $F=(-3,-1)$.

Step13: Apply rotation rule to point F

$F'=(3,1)$.

Answer:

1. $A'=(4,-3)$
2. $B'=(3,-1)$
3. $C'=(1,-3)$
4. $D'=(0,-1)$
5. $E'=(1,2)$
6. $F'=(3,1)$