SOLUTION: The diagonals of a rectangle are congruent
Theorem 4.5.9
Given:Rectangle ABCD with diagonals Segment AC and Segment BD Intersecting at E
Prove: Segment AC is congruent to Segm
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Question 534599: The diagonals of a rectangle are congruent
Theorem 4.5.9
Given:Rectangle ABCD with diagonals Segment AC and Segment BD Intersecting at E
Prove: Segment AC is congruent to Segment BD
I do not understand how to solve this problem.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
It depends. Are you allowed to use the properties of a rectangle that says opposite sides are congruent, or do you have to prove it as part of this proof?
Whichever, once you are able to state that the opposite sides of a rectangle are congruent, then you can establish that two triangles, namely ABD and BCD are congruent by SAS (you know that right angles are equal). Then the two diagonals are congruent by CPCT.
John
My calculator said it, I believe it, that settles it
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