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
Mar 13, 19 11:50 AM
Learn how to derive the equation of an ellipse when the center of the ellipse is at the origin.
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.