In question 4 from the image, you are asked to perform the following tasks using a ruler and a pair of compasses only: a. Construct a trapezium ABCD with the given dimensions: - \( AB = 6.8 \, \text{cm} \) - \( \angle ABC = 120^\circ \) - \( BC \parallel AD \) - \( AD = 10.6 \, \text{cm} \) - \( AC = 9.3 \, \text{cm} \) i. Construct the locus \( l_1 \), which is equidistant from \( A \) and \( C \). ii. Construct the locus \( l_2 \), which is equidistant from \( B \) and \( C \). iii. If \( T \) is the point of intersection of \( l_1 \) and \( l_2 \), measure \( AT \). These tasks involve creating geometric constructions related to loci and measuring segments.
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In question 4 from the image, you are asked to perform the following tasks using a ruler and a pair of compasses only:
a. Construct a trapezium ABCD with the given dimensions:
- \( AB = 6.8 \, \text{cm} \)
- \( \angle ABC = 120^\circ \)
- \( BC \parallel AD \)
- \( AD = 10.6 \, \text{cm} \)
- \( AC = 9.3 \, \text{cm} \)
i. Construct the locus \( l_1 \), which is equidistant from \( A \) and \( C \).
ii. Construct the locus \( l_2 \), which is equidistant from \( B \) and \( C \).
iii. If \( T \) is the point of intersection of \( l_1 \) and \( l_2 \), measure \( AT \).
These tasks involve creating geometric constructions related to loci and measuring segments.
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