Given: Isosceles trapezoid EFGH Prove: ΔFHE ≅ ΔGEH Trapezoid E F G H is shown. Diagonals are drawn from point F to point H and from point G to point E. Sides F G and E H are parallel. It is given that

Given: Isosceles trapezoid EFGH

Prove: ΔFHE ≅ ΔGEH

Trapezoid E F G H is shown. Diagonals are drawn from point F to point H and from point G to point E. Sides F G and E H are parallel.

It is given that trapezoid EFGH is an isosceles trapezoid. We know that FE ≅ GH by the definition of
. The base angle theorem of isosceles trapezoids verifies that angle
is congruent to angle
. We also see that EH ≅ EH by the
property. Therefore, by
, we see that ΔFHE ≅ ΔGEH.

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Given: Isosceles trapezoid EFGH Prove: ΔFHE ≅ ΔGEH Trapezoid E F G H is shown. Diagonals are drawn from point F to point H and from point G to point E. Sides F G and E H are para…

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