Answer:
No, because the distance between the 2 points is [tex]5 \sqrt{2} [/tex] units.
Step-by-step explanation:
[tex]\boxed{distance \: between \: 2 \: points = \sqrt{ {(y1 - y2)}^{2} + (x1 - x2)^{2} } }[/tex]
Distance between (-5, 0) and (0, 5)
[tex] = \sqrt{ {(0 - 5)}^{2} + {( - 5 - 0)}^{2} } [/tex]
[tex] = \sqrt{ {( - 5)}^{2} + ( - 5)^{2} } [/tex]
[tex] = \sqrt{25 + 25} [/tex]
[tex] = \sqrt{50} [/tex]
[tex] = \sqrt{25(2)} [/tex]
[tex] = ( \sqrt{25} )( \sqrt{2} )[/tex]
[tex] = 5 \sqrt{2} [/tex]
Thus, he is not correct.
