Parallelogram JKLM has the coordinates J (0, 5), K (12, 5), L (10, 0), and M (-2, 0). Which of the following sets of points represents a dilation from the origin of parallelogram JKLM?
Answers
Complete Question:
Parallelogram JKLM has the coordinates J (3, 7), K (14, 7), L (10, 1), and M (-1, 1). Which of the following sets of points represents a dilation from the origin of parallelogram JKLM?
A.J' (8, 12), K' (19, 12), L' (15, 6), M' (4, 6)
B.J' (3, 35), K' (70, 7), L' (50, 1), M' (-1, 5)
C.J' (15, 7), K' (70, 7), L' (50, 1), M' (-5, 1)
D.J' (15, 35), K' (70, 35), L' (50, 5), M' (-5, 5)
Answer:
The set of points that could represent the dilation is (d) J' (15, 35), K' (70, 35), L' (50, 5), M' (-5, 5)
Explanation:
Given:
Parallelogram JKLM
Coordinates J (0, 5), K (12, 5), L (10, 0), and M (-2, 0)
To Find:
Which of the following sets of points represents a dilation from the origin of parallelogram JKLM
Solution:
Given coordinates are given as:
J (3, 7), K (14, 7), L (10, 1), and M (-1, 1).
The points get dilated across the origin.
(x,y) => k(x,y)
Where k represents the scale factor
Assume if k=5 then we have to multiply all the coordinates by 5.
Thus,
J' (15, 35), K' (70, 35), L' (50, 5), M' (-5, 5)
Conclusion:
Hence, the set of points that could represent the dilation is (d) J' (15, 35), K' (70, 35), L' (50, 5), M' (-5, 5)
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