Question

PLEASE HELP ME MATH IS HARD
Use the rectangle shown in the coordinate plane to answer each question.
1. Rotate rectangle KLMN 90º counter-clockwise about the origin. List the ordered pairs for each vertex of K'L'M'N'.
2. What do you notice about the ordered pairs of the original figure and the ordered pairs of the rotation about the origin?

Answer 1

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)

Answer 2

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)