Geometric Analysis: Identifying Intersecting Lines in Multiple Diagrams

Question

Which figure(s) show intersecting lines?

1234

Video Solution

Solution Steps

00:00 Which lines intersect each other?
00:03 Intersecting lines divide the line into 2 equal parts
00:07 In this example, the lines intersect because the segments are equal to each other
00:11 In this example, the lines form a right angle, therefore they are perpendicular
00:14 But it's not known if the line segments are equal, therefore they don't intersect
00:18 In this example, the lines never intersect and therefore are parallel
00:27 In this example, the lines intersect because the segments are equal to each other
00:31 And this is the solution to the question

Step-by-Step Solution

Lines that intersect each other are lines that divide the side into two equal parts.

The drawings showing that the lines divide the sides into equal parts are drawings 1+3.

In drawing 2, the lines are perpendicular and vertical to each other, and in drawing 4, the lines are parallel to each other.

Answer

1 and 3