First slide

Cartesian plane

Question

The points (0, 0), (a, 0), (a, a), (0, a) taken in order form

Easy

A

a parallelogram
B

a rectangle
C

a rhombus
D

a square

Solution

$A (0, 0), B (a, 0), C (a, a), D (0, a)$ , $A B = \sqrt{a^{2} + 0} = a$ $B C = \sqrt{0 + a^{2}} = a$

$C D = D A = a$

$∴$ ABCD is a square

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