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To construct quadrilateral (PXYQ) with side lengths (PX = 9.9) cm and (QX = 10.2) cm using only a ruler and pair of compasses, follow these steps:
1. Draw a line segment (PX) of length (9.9) cm.
2. From point (P), draw an arc with radius (9.9) cm to intersect the line segment (PX). Label this point of intersection as (X).
3. From point (X), draw an arc with radius (10.2) cm to intersect the extension of line segment (PX). Label this point of intersection as (Q).
4. Draw a line segment (QY) parallel to (PX) and extend it to intersect the arc drawn from point (P). Label this point of intersection as (Y).
5. Connect points (P), (X), (Y), and (Q) to form quadrilateral (PXYQ).
This construction ensures that side lengths (PX) and (QX) are (9.9) cm and (10.2) cm, respectively.
Added 2/23/2024 2:59:58 AM
This answer has been confirmed as correct and helpful.
