Prove that the diagonals of an isosceles trapezoid are congruent
Using this isosceles trapezoid, prove that its diagonals are congruent.
: Isosceles trapezoid ABCD with segment AB ≅
: segment AC ≅ segment BD
Since the trapezoid is isosceles, the base angles are congruent
Therefore, ∠CBA ≅ ∠BCD
Furthermore, segment BC ≅ to segment BC by the reflexive property of congruence.
By SAS Postulate, triangle ABC ≅ triangle DCB
Therefore, segment AC ≅ segment BD
Jul 06, 18 12:29 PM
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