To prove that the diagonals of rectangle LMNO are congruent, we can start by showing that the opposite sides of a rectangle are equal in length.
In rectangle LMNO, opposite sides LM and NO are congruent because they are both sides of the rectangle and by definition, opposite sides of a rectangle are equal. Similarly, opposite sides MN and LO are also congruent.
Since opposite sides of rectangle LMNO are congruent, we can conclude that the diagonals of a rectangle bisect each other. This means that the length of the diagonal LN is equal to half the length of side NO, and the length of diagonal MO is equal to half the length of side LM.
Therefore, since opposite sides of rectangle LMNO are equal in length and the diagonals bisect each other, we can prove that the diagonals LN and MO are congruent.
rewrite this essay
Prove that the diagonals of rectangle LMNO
are congruent. You can write a two-column proof or a paragraph proof, but be sure to include a reason for each of your statements
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1 answer