Answer:
DE = 7.07 RS = 11.04 not congruent
Step-by-step explanation:
Formula:
[tex]d=\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
D (5,0) E (0,-5)
DE
[tex]d=\sqrt{(0-5)^2 + ( -5 - 0)^2}[/tex]
[tex]d=\sqrt{(-5)^2 + (-5)^2}[/tex]
[tex]d=\sqrt{25+25}[/tex]
[tex]d=\sqrt{50}[/tex]
d= 7.07
R (-5,-5) S (6,-6)
RS
[tex]d=\sqrt{(6-(-5))^2 + (-6 - (-5))^2 }[/tex]
[tex]d=\sqrt{11^2 + (-1)^2}[/tex]
[tex]d=\sqrt{121 + 1}[/tex]
[tex]d=\sqrt{122}[/tex]
d= 11.04
