Square Diagonal Intersection: Analysis of a 5 cm Square

Question

If side AC of the square measures 5 cm:

Determine whether the diagonals of the square intersect:

00:00 Do the diagonals intersect each other?

00:03 In a square, all sides are equal and all angles are right angles

00:09 In a square, the diagonals are angle bisectors

00:14 When the base angles are equal in a triangle, it is isosceles

00:23 It seems this is valid for every triangle that the diagonals create

00:29 Since all triangles are isosceles, the diagonals intersect

00:33 And this is the solution to the question

In a square all sides are equal to one another, meaning that all the sides measure 5 cm.

Furthermore in a square, all angles are equal, they are right angles and measure 90 degrees.

Therefore, we can determine that the diagonal divides each angle into 2 angles of 45 degrees, thus the diagonals must intersect.

Yes