Quadrilateral ABCD is translated 6 units right and 5 units down to create quadrilateral EFGH. Determine the correct orientation
and location of quadrilateral EFGH.
1 answer:
Try this suggested option (all the details are in the attachment), the correct orientation is marked with red and green colours.
P.S. The point C has coordinates: (3;1). If to traslate it 6 units right and 5 units down, then (3+6;1-5) ⇒ (9;-4). The same principle is for the others points A, B and D. Note, after translation point A is point E, B⇒F, C⇒G and D⇒H.
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Use the attached figure to guide yourself through the explanation. In the figure:
.
We know that:
Also remmeber that the area of a triangle is:
The hegiht is shown in the figure in red, the base is just the b side.
Using the angle C the area of the triangle is:
Now taking the derivative of the area 2A with respect to t we have:
Replacing with the right values:
yields:
We know that:
Also remmeber that the area of a triangle is:
The hegiht is shown in the figure in red, the base is just the b side.
Using the angle C the area of the triangle is:
Now taking the derivative of the area 2A with respect to t we have:
Replacing with the right values:
yields: