Help with geometrical proofs

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LiHJ
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Dear Mentors,
Please guide me in solving the circled questions. Thank you
 
Attachments
  • Scanned textbook page showing geometry problem 16: parallelogram ABCD with lines DE and DF meeting diagonal AC at H and G, with parts (a) and (b) circled, and a small labelled diagram.
    Image Math1.jpg
    10.1 KB · Views: 557
  • Printed geometry problem with a diagram: semicircle centre O on diameter AB, point P on the arc, inscribed circle centre C touching PQ, AB and the semicircle at D, E and F, with parts (a) to (d) to prove.
    mathImage (2).jpg
    11.7 KB · Views: 477

Discussion

There's not much point in giving "guidance" if we don't know what you know about parallelograms, diagonals, etc. Show us that by giving your own attempt at this.
 
Dear HallsofIvy,

I have already posted my working to that question. Thank you
 
posted under Homework and course work problem, Pre-Calculus topic. Thank you
 

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