Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 5 of 50 if three parallel lines intersect two transversals, th…

Question

question 5 of 50
if three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional
true
false

Explanation:

Step1: Recall the theorem

The Basic Proportionality Theorem (Thales' theorem) extended for three parallel lines: If three or more parallel lines intersect two transversals, then they divide the transversals proportionally.

Step2: Apply the theorem

Given three parallel lines intersecting two transversals, by the theorem, the segments intercepted on the transversals are proportional. So the statement is True.

Answer:

A. True