Question

PLEASE HELP ME MATH IS HARD

Answer 1

Answer:

Step-by-step explanation:

Rotate counter-clockwise = from right towards left  

Rotate 90° about the origin = We can think that our rectangle is a flag and that we added a pole to it. The pole is rotated counter-clockwise about the origin until we have the 90°. Where is the flag now positioned?

(Draw a line from origin to one of the rectangle's points; draw another line from origin that is ⊥ to the previous one. You rotate that point 90° from right to left and will lend on the new line.)

1. K (-6, 3) L (-4, 5) M (-1, 2) N (-3, 0) → K' (-3,-6) L'(-5, -4) M'(-2, -1) N'(0, -3)

2. We notice that the rule for rotating 90° about the origin is (x, y)→(-y, x)

Answer 2

Answer:

See below ↓

Step-by-step explanation:

1)

• On rotating KLMN by 90° counterclockwise,
• the new coordinates are :
• K' = (-3, -6)
• L' = (-5, -4)
• M' = (-2, -1)
• N' = (0, -3)

2)

• What do we notice here?
• We notice that on rotating from Quadrant II to Quadrant III, we find that all the x and y values become negative (other than N' which changes intercepts from x to y)