The parallelogram shown below has an area of 54 units squared
1 answer:
Answer:
the height is 6 units
Step-by-step explanation:
Given that
The area of the parallelogram is 54 units squared
The base is 9 units
We need to find out the height
As we know that
The area of the parallelogram = Base × height
54 = 9 × height
So, the height is
= 54 ÷ 9
= 6 units
Hence, the height is 6 units
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General Idea:
When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)
Applying the concept:
In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).
If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)
We know &
Substituting 6 for x in the equation , we get
.
Dividing 6 on both sides
Simplifying fractions on both sides
Point A from the diagram is (-3, 3)
x-coordinate of A' =
y-coordinate of A' =
Point A' is given by (-3.6, 3.6)
Conclusion:
<u>Scale factor of dilation is 1.2</u>
<u>The coordinates of point A' is (-3.6, 3.6)</u>