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Given the set of vertices: Q(–2, –1), R(–1, 2), S(4, 1), T(3, –2), the quadrilateral is a rhombus.

Question

Given the set of vertices: Q(–2, –1), R(–1, 2), S(4, 1), T(3, –2), the quadrilateral is a rhombus.
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Solution 1

To determine if the given quadrilateral is a rhombus, we need to check if all sides are of equal length.

The formula to calculate the distance between two points (x1, y1) and (x2, y2) is √[(x2 - x1)² + (y2 - y1)²].

Let's calculate the lengths of the sides:

  1. QR: √[(-1 - (-2))² + (2 - (-1))²] = Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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