Question

The three consecutive vertices of a rhombus are (3,4),(-2,3),(-3,-2), find the fourth vertex.​

Answer 1

Answer:

Let the coordinates of the fourth vertex D be (x, y). We know that diagonals of a rhombus bisect each other. ∴ Midpoint of AC = Midpoint of BD …(i) Coordinates of the midpoint of AC are ⇒ 2 + x = 3 and 7 + y = 7 ⇒ x = 1 and y = 0 Thus, the coordinates of the vertex D are (1, 0)Read more on Sarthaks.com - https://www.sarthaks.com/961944/three-consecutive-vertices-of-a-rhombus-are-5-3-2-7-and-2-4-find-the-fourth-vertex

Step-by-step explanation:

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