Question

The Two Perpendicular Lines Theorem is based on _____.

A. the definition of parallel lines
B.the fact that corresponding angles are congruent
C.the Paradox of Parallels
D.the fact that corresponding angles share a common side
I think it's B but I'm not entirely sure

Answer 1

Perpendicular lines are two lines that meet to form congruent adjacent angles. If two lines are perpendicular, then they meet to form right angles. If two lines meet to form a right angle, then these lines are perpendicular. Sorry for late response.

Answer 2

Explanation:

Given are 4 options and we have to find the base out of the given four options which form base for two perpendicular lines theorem

Option a is incorrect as the definition of parallel lines have nothing to do with perpendicular lines.

C is incorrect since paradox of parallels cannot be the basis for perpendicular lines theorem

D is incorrect as this pertains to triangles or quadrilaterals which deal with corresponding angles

The fact that adjacent angles of a linear pair are congruent form the two perpendicular lines.

Hence option B) is right.