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 meet or cross each other.

The diagrams showing lines that cross each other are 1 and 3.

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

Answer

1 and 3