On January 2003, I woke up before dawn. I took the Shatabdi Express at 6.15 a.m. from Delhi. I met a newly-married couple on the train. We spoke about Himachal Pradesh. I got off the train and entered the once-grand city of Agra. I saw twisted alleys with dense traffic, rickshaws, cars, and people. There were vendors selling religious artefacts, plastic toys, spices and sweets. I went to the Taj Mahal. It is constructed entirely of white marble, which has a magical quality. The colour of the marble changes with varying light and shadow. The Taj Mahal has marble with gemstones engraved inside it. I saw the reflection of the Taj Mahal in the pond. There were many school-children, tourists and tourist guides.
(i) The kind of person the doctor is (money, possessions)
(ii) The kind of person he wants to be (appearance, ambition)
ABCD is a quadrilateral in which AD = BC and ∠ DAB = ∠ CBA (see Fig. 7.17). Prove that
(i) ∆ ABD ≅ ∆ BAC
(ii) BD = AC
(iii) ∠ ABD = ∠ BAC.
