Question

Given below are two parallel lines AB and CD. Draw a line m such that m।। AB, m।। CD and m is equidistant from both AB and CD.
​

Answer 1

Answer:

draw between the parallel ab and cd then it is equidistant and parrlell

Answer 2

Answer:

Given: l || m and p || q

To Prove: ΔABC ≅ ΔCDA.

We can show both the triangles are congruent by using ASA congruency criterion

l and m are two parallel lines intersected by another pair of parallel lines p and q (see Fig. 7.19). Show that ΔABC ≅ ΔCDA.

In ΔABC and ΔCDA,

∠BAC = ∠DCA (Alternate interior angles, as p and q are parallel lines)

AC = CA (Common)

∠BCA = ∠DAC (Alternate interior angles, as l || m)

∴ ΔABC ≅ ΔCDA (By ASA congruence rule