Question

Draw a line segment AB = 7cm. Draw AC making an angel of 60° with AB. Mark AC = 4 cm. Through C, draw a line parallel to AB.

Answer 1

Construction of line parallel to AB throug C:

• Draw a line segment AB = 7 cm.
• Pass a ray AX through A such that ∠BAX = 60°.
• With a radius of 4 cm, draw an arc on AX from A.
• Mark this point as C on AX.
• Now with a suitable radius, draw an arc from A such that it cuts AB and AC.
• With same radius, cut an arc from C on same side and mark this point as Y.
• Copy angle A with compass and cut the arc from point Y.
• Name the point of intersection of these two points as D.
• Draw a line passing through CD.
• CD is parallel to AB.