Question

given points S(2,-1), T(1,5), A(7,4), and R(8,-2)
Prove: Quadrilateral STAR is a rhombus

Answer 1

$\Large{\underline{\underline{\bold{✯Given:}}}}$

• Point S = (2,-1) $→\;{\sf{(X_1,Y_1)}}$
• Point T = (1,5) $→\;{\sf{(X_2,Y_2)}}$
• Point A = (7,4) $→\;{\sf{(X_3,Y_3)}}$
• Point R = (8,-2) $→\;{\sf{(X_4,Y_4)}}$

$\Large{\underline{\underline{\red{\bold{➸To\;Prove:}}}}}$

• STAR is a Rhombus.

$\Large{\underline{\underline{\blue{\bold{✄Solution:}}}}}$

$\boxed{\sf{\green{Distance\; Between\;Two\; Points = \sqrt{(X_2-X_1)²+(Y_2-Y_1)²}\;units}}}$

• $\pink{\bf{Refer\;The\; Attachment}}$

☞ STAR is a $\sf{\color{salmon}ᎡᎻϴᎷᏴႮՏ}$

$\boxed{\tt{@MrSovereign࿐}}$

Hope This Helps!!