what will be the reflection of the point (4,5) about x axis in the fourth quadrant?
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Answer:
It will be (4,-5)
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The required reflection is (4, -5).
Given:
Point (4, 5)
Line of reflection = x-axis
To find: the reflection of (4, 5) about the x-axis
Solution:
Since point (4, 5) is reflected about the x-axis, the reflection will be in the quadrant vertically below the first quadrant
⇒ reflection will be in the 4th quadrant
We know that in the 4th quadrant,
Sign of x-coordinate = +
Sign of y-coordinate = -
magnitude remains the same after reflection.
⇒ x-coordinate of reflection = 4
⇒ y-coordinate of reflection = -5
⇒ Coordinates of reflection of point (4, 5) about x-axis = (4, -5).
SPJ2
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