Which of the following statements is false? *
(a) When a transversal cuts two parallel lines, each pair of corresponding angles are equal.
(b) When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.
(c) When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.
(d) A transversal cuts two parallel lines in three points
Answers
Answer:
(d) A transversal cuts two parallel lines in three points
Given : statements about transversal
To Find : Which of the following statements is false
(a) When a transversal cuts two parallel lines, each pair of corresponding angles are equal.
(b) When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.
(c) When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.
(d) A transversal cuts two parallel lines in three points
Solution:
A transversal line is a line that cuts two or more lines at different points.
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°)
congruent angles have equal measures.
(a) When a transversal cuts two parallel lines, each pair of corresponding angles are equal. TRUE
(b) When a transversal cuts two parallel lines, each pair of alternate interior angles are equal. TRUE
(c) When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary. TRUE
(d) A transversal cuts two parallel lines in three points FALSE
as A transversal cuts two parallel lines in 2 points..
Correct option is option d
A transversal cuts two parallel lines in three points FALSE
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