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 of km

The diagonals of an isosceles trapezoid are congruent and the length of KM is   .

Step-by-step explanation:

Formula

As given

The coordinates of isosceles trapezoid JKLM are J(-b, c), K(b, c), L(a, 0), and M(-a, 0).

The diagram is shown below.

Now find out the length of the diagonal.

As the diagonal is JL .

The coordinates of the JL are J (-b,c) and L (a,o)

Putting the value in the above

(As by using the formula(a + b)² = a² + b² +2ab )

Put this in the above

Now find the length of diagonal KM .

As coordinates of K (b,c) and M (-a,0).

(As by using the formula(a + b)² = a² + b² +2ab )

As the length of the diagonal JL and KM are equal .

Thus the diagonals of an isosceles trapezoid are congruent and the length of KM is   .

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