Kite KLMN has vertices at K(1,3) L(2,4) M(3,3) N(2,0). After the kite is rotated, K' has coordinates (-3,1). Describe the rotation, and include a RULE in your description. Then find the coordinates of L', M' and N'
DESPERATE!!!

HELP PLEASE!!! THANK YOU!


Sagot :

there could be many answers depending on where the centre of rotation is.

Assuming the centre is (0,0) It is an anticlockwise rotation of 90 degrees
L' is (-4,2)  M' is (-3,3)  and N' (0,2)

The coordinates of L ', M' and N ': (-4,2); (-3.3); (0.2)

Further explanation

Transformation is a change in shape or change in location from a building to another build.

A build can be changed in shape or location using transformation

There are several forms of transformation, including translation, dilation, rotation or reflection.

Rotation is a change in the position of an object because it is rotated with certain angles and centers

Generally for rotations with angles of 90 and 180:

  •  center (a, b)

90 °: (x, y) → (-y + a + b, x -a + b)

180 °: (x, y) → (-x + 2a + b, -y + 2b)

  • center (0,0)

90 °: (x, y) → (-y, x)

180 °: (x, y) → (-x, -y)

K (1,3) L (2,4) M (3,3) N (2,0). After the kite is rotated, K 'has coordinates (-3,1)

If we look at coordinates K -> K ' meets the 90 ° rotation rule: (x, y) → (-y, x) with a center of 0.0

so the coordinates of another point

 L (2,4) ---> -4,2

M (3,3) ---> -3,3

N (2.0) ----> 0.2

Learn more

Compare a dilation to the other transformations

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Point H (2, 5) is reflected across the y-axis

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a dilation of quadrilateral

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