Square Geometry: Comparing Distances BE and CE from Diagonal Intersection

Question

Look at the square below.

AAABBBDDDCCCEEE

Is BE equal to CE?

Video Solution

Solution Steps

00:00 Is BE equal to CE?
00:03 In a square, all sides are equal
00:08 In a square, the diagonals are angle bisectors
00:11 In a square, the diagonals are perpendicular to each other
00:14 In an isosceles triangle, the perpendicular is also a median
00:17 And this is the solution to the question

Step-by-Step Solution

According to the properties of the square, the diagonals intersect each other, therefore, BE is equal to CE

Answer

Yes


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