Mathematics
Statement 1: MM' is a plane mirror and A is an object, then I is an image of object A.
∴ OA = OI
Statement 2: ΔAOC ≅ ΔIOC by ASA. And, so CI = CA.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Triangles
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Answer
Given, MM' is a plane mirror and A is an object, then I is an image of object A.
The image I of object A is located at the same distance behind the mirror as the object is in front of it, i.e. OA = OI.
So, statement 1 is true.
In ΔAOC and ΔIOC,
⇒ OA = OI (Proved above)
⇒ ∠AOC = ∠IOC (Both equal to 90°)
⇒ OC = OC (Common)
∴ ΔAOC ≅ ΔIOC (By ASA congruency criterion)
By C.P.C.T.C.,
⇒ CI = CA
So, statement 2 is true.
∴ Both the statements are true.
Hence, option 1 is the correct option.
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