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Answer:
New scale will be
E(-1, -3.5), F(2, -1.5), G(0, 0.5), H(-2, -1). This is one-half the original scale
Step-by-step explanation:
The question is incomplete. Here is the complete question.
"Given the Quadrilateral with vertices E(-2,-7),F(4,-3),G(0,1),and H(-4,-2), find the coordinates of the image after a dilation having a scale factor of 0.5."
Dilation factor is the same as scale of 1/2 i.e 1:2. Scale of 1:2 means that the quadrilateral has been reduced by one-half. We need to know the new vertices of the quadrilateral after being reduced by one-half.
Given the original axis before dilation
E (x1, y1) = E(-2, -7)
F (x2, y2) = F(4, -3)
G (x3, y3) = G(0, 1)
H (x4, y4) = H(-4, -2)
After dilation by scale factor of 0.5, the axis will result into one half of its original scale as shown:
E (0.5x1, 0.5y1) = E(-2/2, -7/2)
F (0.5x2, 0.5y2) = F(4/2, -3/2)
G (0.5x3, 0.5y3) = G(0/2, 1/2)
H (0.5x4, 0.5y4) = H(-4/2, -2/2)
New scale will be:
E(-1, -3.5), F(2, -1.5), G(0, 0.5), H(-2, -1)
Check the attachment for diagram.
Answer:
Step-by-step explanation:
Given
Required
Solve
Using sine rule, we have:
This gives:
So, we have:
In radical forms, we have:
Take LCM
Rewrite as:
Hence: