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Let's draw the isosceles trapezoid ABCD, where AD ≅ BC, and mADC ≅ mBCD.

If we draw the diagonals AC and BD of the trapezoid two congruent triangles are formed,

∆ ADC ≅ ∆ BDC (SAS Postulate: If two sides and the angle between them in one triangle are congruent to the corresponding parts in another triangle, then the triangles are congruent).

Since these triangles are congruent, AC ≅ BD.

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Q: How do you prove that the diagonals of an isosceles trapezoid are equal?
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