When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel.
When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines have to be parallel.
When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are supplementary, then the lines have to be parallel.
When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are complementary, then the lines have to be parallel
Which of the following statement is false?
Answers
Answer:
statement 4 is incorrect
I hope it helps you
Given : Statements about transversal and angle formed
To Find : Which one is False
Solution:
Properties of angles formed by transversal line with two parallel lines :
• Corresponding angles are congruent.
• Alternate angles are congruent. ( Interiors & Exterior both )
• Co-Interior angles are supplementary. ( adds up to 180°)
and Converse is True for all of these
When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel. - TRUE
When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines have to be parallel. - TRUE
When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are supplementary, then the lines have to be parallel. - TRUE
When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are complementary, then the lines have to be parallel - FALSE as angles need to be supplementary
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