Given: Isosceles trapezoid EFGH
Prove: ΔFHE ≅ ΔGEH
Trapezoid E F G H is shown. Diagona...
Mathematics, 01.12.2021 23:50 slpsoniaa
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.
Answers: 3
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