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1. ABCD is a rectangle in …

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1. ABCD is a rectangle in which diagonal AC bisects A as well as C. Show that: (i) ABCD is a square. (ii) Diagonal BD bisects both B as well as D.

    • Posted by Niharika Niki 4 years, 10 months ago

    CBSE > Class 09 > Mathematics
    • 2 answers

    Anureet Kaur 4 years, 10 months ago

    II) In ? ABD and CBD. AB =BC, AD =CD (ABCD is square) BD=BD. (common) therefore By SSS criterion ? ABD is congruent to ? CBD. Therefore angle 5=6. And angle 7=8. By cpct. Hence proved

    1Thank You

    Anureet Kaur 4 years, 10 months ago

    Given -ABCD is a rectangle, AC bisects A and C Proof -i) In ? ABC and ? ADC 1=2 (given) 3=4 (given) AC=AC (common) By ASA criterion. ? ABC congruent to ? ADC. Therefore AB =AD...... (1) (cpct) but ABCD is rectangle therefore AB=DC.....(2) BC =AD.......(3) From (1),(2),(3) AB =BC=CD=DA. Therefore ABCD is a square

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