Question

BRAINLIEST BRAINLIEST BRAINLIEST

Given: The coordinates of isosceles trapezoid JKLM are J(-b, c), K(b, c), L(a, 0), and M(-a, 0). Prove: The diagonals of an isosceles trapezoid are congruent. As part of the proof, find the length JL

BRAINLIEST BRAINLIEST BRAINLIEST

Answer 1

The answer for this question is (-a+b)2+c2

Answer 2

Answer:

The Coordinates of Isosceles Trapezoid J K L M, are J(-b, c), K(b, c), L(a, 0), and M(-a, 0).

To prove that, it 's Diagonals are congruent to each other we will find the Length of JL and KM.

Distance Formula :  

 $=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}}\\\\JL=\sqrt{(a+b)^2+(0-c)^2}\\\\JL=\sqrt{(a+b)^2+(c)^2}\\\\KM=\sqrt{(a+b)^2+(0-c)^2}\\\\KM=\sqrt{(a+b)^2+(c)^2}\\\\JL=KM=\sqrt{(a+b)^2+(c)^2}$

That is , JL≅ KM

So, Diagonals of  isosceles trapezoid are congruent.