Math, asked by ericosouki7179, 7 months ago

Any point on the line x = y is of the form: * 1 point ((0, k) (k, 0) (k, k)

Answers

Answered by premkeshri17
1

Answer:

Let ABCD be the given quadrilateral with vertices A (–4, 5), B (0, 7), C (5, –5), and D (–4, –2).

Then, by plotting A, B, C, and D on the Cartesian plane and joining AB, BC, CD, and DA, the given quadrilateral can be drawn as

To find the area of quadrilateral ABCD, we draw one diagonal, say AC.

Accordingly, area (ABCD) = area (ΔABC) + area (ΔACD)

We know that the area of a triangle whose vertices are (x1, y1), (x2, y2), and (x3, y3) is

Therefore, area of ΔABC

Area of ΔACD

Thus, area (ABCD)

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