Question

Summary
* A line can be drawn parallel to a given line through a point not on it by using the concept
of equal alternate interior angles or by using the concept of equal corresponding angles.
* Construction of triangles
A triangle can uniquely be constructed by using indirectly the concept of congruence of
triangles.
SSS - when the lengths of its three sides are given.
SAS - when the lengths of two sides and the measure of the included angle are given.
when the measures of two angles and the length of the included side are
given.
If the measures of two angles and the length of a side are given, then we can find the
measure of the third angle by using angle sum property of a triangle and hence the
question can be converted to ASA, so triangle can be drawn uniquely.
RHS - when the lengths of hypotenuse and one side of a right angled triangle are
given.
O ASA​

Answer 1

ASA (Angle-Side- Angle)

If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.