Find the reflection (image) of the point (5, -3) in the point (-1, 3).

Question

KnowledgeBoat · Accepted Answer

Let the coordinates of the image of the point A(5, -3) be A'(x, y) in the point (-1, 3) then, The point (-1, 3) will be the mid-point of AA' By midpoint formula, ⇒ 5 + x = -2 and -3 + y = 6 ⇒ x = -2 - 5 and y = 6 + 3 ⇒ x = -7 and y = 9. ∴ A' = (x, y) = (-7, 9). Hence, the coordinates of the images of (5, -3) in the point (-1, 3) is (-7, 9).

Mathematics

Find the reflection (image) of the point (5, -3) in the point (-1, 3).

Section Formula

Related Questions

The coordinates of the mid-point of the line segment PQ are (1, -2). The coordinates of P are (-3, 2). Find the coordinates of Q.

AB is a diameter of a circle with centre C(-2, 5). If the point A is (3, -7). Find :
(i) The length of radius AC.
(ii) The coordinates of B.

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Mathematics

Find the reflection (image) of the point (5, -3) in the point (-1, 3).

Section Formula

Related Questions

The coordinates of the mid-point of the line segment PQ are (1, -2). The coordinates of P are (-3, 2). Find the coordinates of Q.

AB is a diameter of a circle with centre C(-2, 5). If the point A is (3, -7). Find :(i) The length of radius AC.(ii) The coordinates of B.

The point P(-4, 1) divides the line segment joining the points A(2, -2) and B in the ratio 3 : 5. Find the point B.

AB is a diameter of a circle with centre C(-2, 5). If the point A is (3, -7). Find :
(i) The length of radius AC.
(ii) The coordinates of B.