Question

How would you find the vertices of an image of a figure was rotated 270 degrees clockwise? 15 POINTS! DESPERATE

Answer 1

Rotating 90° (counterclockwise): (x, y) → (-y, x)

Rotating 180° (counterclockwise): (x, y) → (-x, -y)

Rotating 270° (counterclockwise): (x, y) → (y, -x)

The easiest way to explain this is:

1) Draw a point (I am going to choose (2, 4), which is in Quadrant 1)

2) Now, rotate your paper or graphing board  90°

3) Next, assume that your x-axis is horizontal and y-axis is vertical based on your rotation which means that the point has now moved to Quadrant 2. What is the new coordinate of the point? (-4, 2)

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Rotating another 90° again is a rotation of 180° from the original point

Rotating yet another 90° is a rotation of 270°.  Not to confuse you, but 270° counterclockwise is the same as 90° clockwise.

Answer 2

Rotation Coordinate Notation About the Origin:

90–degree counterclockwise: (x, y) → (-y, x)

180–degree counterclockwise: (x, y) → (-x, -y)

270–degree counterclockwise: (x, y) → (y, -x)

Use this to help you..

Example -

The vertices of a triangle are

( 1 , 3 ) ( 3 , -4 ) , ( - 6 , -8 )

270 degrees , clockwise , rotated from origin ( x , y ) - ( y , -x )

The first vertice = ( 1 , 3 )

after rotation - ( 3 , - 1 )

The second vertice = ( 3 , -4 )

After rotation - ( -4 , -3 )

The third vertice = ( -6 , - 8 )

After rotation - ( -8 , 6 )

Hope my answer helps!