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anonymous

  • 4 years ago

Write a coordinate proof for the following theorem below. Include the given and prove statements. If a quadrilateral is a square, then its diagonals are congruent. Square ABCD and its diagonals have been drawn for you.

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  1. anonymous
    • 4 years ago
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  2. Mertsj
    • 4 years ago
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    Given:square ABCD with diagonals AC and BD and vertices A(0,a), B(c,a), C(c,0), D(0,0) Prove; AC is congruent to BD 1. ABCD is a square and has diagonals AC and BD and 1. Given vertices A(0a,),B(c,a), C(c,0), D(0,0) 2.AC=sqrt[(c-0)^2+(a-0)^2]=sqrt(c^2+a^2) 2. Distance Formula 3. BD= sqrt[(c-0)^2+(a-0)^2]=sqrt(a^2+c^2) 3. Distance Formula 4. AC=BD 4. Transitive Prop of Equality 5 AC is congruent to BD 5. Definition of Congruent segments

  3. anonymous
    • 4 years ago
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    OMG! Your a savior!:)

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