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Question
Diagonals of a rectangle are equal.
Options
True
False
Solution
This statement is True.
Explanation:
⇒ Given ABCD is a rectangle
Then AC and BD are diagonals
Then in ΔABC and ΔBCD,
⇒ ∠b is common angle
⇒ BC is common side
⇒ AB = CD
⇒ So by SAS congruency,
ΔABC is congruent to ΔBCD
So by cpct,
⇒ AC = BD
So, diagonals are equal.
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