Question

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.

Answer 1

isosceles trapezoid, FEH, GHE, Reflexive, SAS

Explanation: