SOLUTION: Given: ABCD is an isosceles trapezoid
Prove: AC is congruent to BD
Algebra.Com
Question 549375: Given: ABCD is an isosceles trapezoid
Prove: AC is congruent to BD
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The diagonals of an isosceles triangle have equal measure and divide each other into segments of equal measure. So you can construct the diagonals and create two triangles, one side of one being AC and the other corresponding side being BD. Then using the "divide each other" part and the vertical angles theorem you can prove the two triangles congruent by SAS. The AC congruent to BD by CPCTC.
John
My calculator said it, I believe it, that settles it
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