MHB How should you draw this sketch?

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In the discussion, participants analyze the geometric properties of parallelogram ABCD, focusing on the acute angle at vertex A. The points E and F are identified as the feet of the perpendiculars dropped from point C to lines AB and AD, respectively. The implications of these perpendiculars on the relationships between the angles and sides of the parallelogram are explored. The discussion emphasizes the significance of understanding perpendiculars in geometric sketches. Overall, the conversation centers on accurately representing the relationships within the parallelogram based on the defined points.
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Let ABCD be a parallelogram with acute angle at A. Let E be the foot of the perpendicular from C to the
line AB and let F be the foot of the perpendicular from C to the line AD.
 
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WJMeyer said:
Let ABCD be a parallelogram with acute angle at A. Let E be the foot of the perpendicular from C to the
line AB and let F be the foot of the perpendicular from C to the line AD.

parallelogram1.jpg
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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