Rectangle Diagonal Segments: Finding Equal Parts to BM = 12.5

Question

The rectangle ABCD is shown below.

DC = 24

BM = 12.5

Which segments are equal to BM?

24242412.512.512.5AAABBBCCCDDDMMM

Video Solution

Solution Steps

00:00 Find all segments equal to BM
00:04 In a rectangle opposite sides are parallel
00:19 In a rectangle all angles are right angles
00:34 In a rectangle diagonals bisect and are equal
00:42 Therefore BM is equal to every diagonal segment
00:50 And this is the solution to the question

Step-by-Step Solution

It is important to remember that the diagonals in a rectangle intersect and are equal to each other,

therefore:

BM=MD=AM=MC=12.5 BM=MD=AM=MC=12.5

Answer

BM=MD=AM=MC=12.5