Postulates

Question 0

Historic parallel postulate

Answer 0

Given a line and a point not on the line, there is exactly one line passing through the point that is parallel to the given line

Question 1

Postulate 6.1 parallel postulate

Answer 1

Two lines intersected by a transversal are parallel if and only if the alternate interior angles are congruent

Question 2

Postulate 6.2 SAS congruence postulate

Answer 2

If two sides and an included angle of one triangle are congruent to the corresponding two sides and included angle of another triangle, then the two triangles are congruent

Question 3

Postulate 6.3 ASA congruence postulate

Answer 3

If two angles and an included side of one triangle side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the two triangles are congruent