To rotate a point around the origin by 180 degrees, multiply both parts of the coordinate point by . (This means you go from
to
.)
Area of a triangle is given by the formula A=1/2 bh. The area of the triangle shown to the right is 56 sq. units. Find its base
1 answer:
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When a shape is rotated, it must be rotated around a point.
<em>To determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by </em><em>.</em>
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From the question, we have:
--- the center of rotation
Let the vertices of the triangle be (x,y).
First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.
This gives:
Then the vertices are rotated by
<u />
<u>The rule of </u><u> rotation is:</u>
So, we have:
From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)
After rotation, the coordinates are calculated as follows:
Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)
Read more about rotations at: