[color=#000000]Use coordinate geometry to prove that [/color][color=#000000]the midpoints of the sides of an isosceles trapezoid are vertices of a [/color][color=#38761d][b]rhombus[/b][/color][color=#000000]. [/color][color=#1e84cc][br][/color][color=#000000][br]That is, write a coordinate geometry proof that formally proves what this applet informally illustrates. [br][br]Be sure to assign appropriate variable coordinates to your isosceles trapezoid's vertices! [br](The maximum number of variable coordinates your coordinate setup should have is 3.)[/color]

[color=#000000]Now prove this same theorem true using the format of a 2-column proof or a paragraph proof.[br][i]Hint: This proof may contain multiple pairs of congruent triangles. [/i][/color]