show that diagonals of a square are equal and bisect each other at right angle?
Answers
Step-by-step explanation:
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Step-by-step explanation:
Given that ABCD is a square.
Given that ABCD is a square.To prove : AC=BD and AC and BD bisect each other at right angles.
Given that ABCD is a square.To prove : AC=BD and AC and BD bisect each other at right angles.Proof:
Given that ABCD is a square.To prove : AC=BD and AC and BD bisect each other at right angles.Proof: (i) In a ΔABC and ΔBAD,
Given that ABCD is a square.To prove : AC=BD and AC and BD bisect each other at right angles.Proof: (i) In a ΔABC and ΔBAD,AB=AB ( common line)
Given that ABCD is a square.To prove : AC=BD and AC and BD bisect each other at right angles.Proof: (i) In a ΔABC and ΔBAD,AB=AB ( common line)BC=AD ( opppsite sides of a square)
Given that ABCD is a square.To prove : AC=BD and AC and BD bisect each other at right angles.Proof: (i) In a ΔABC and ΔBAD,AB=AB ( common line)BC=AD ( opppsite sides of a square)∠ABC=∠BAD ( = 90° )
Given that ABCD is a square.To prove : AC=BD and AC and BD bisect each other at right angles.Proof: (i) In a ΔABC and ΔBAD,AB=AB ( common line)BC=AD ( opppsite sides of a square)∠ABC=∠BAD ( = 90° )ΔABC≅ΔBAD( By SAS property)
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