Rectangle Diagonal Segments: Finding Equal Parts to BM = 12.5

The rectangle ABCD is shown below.

DC = 24

BM = 12.5

Which segments are equal to BM?

24242412.512.512.5AAABBBCCCDDDMMM

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The rectangle ABCD is shown below.

DC = 24

BM = 12.5

Which segments are equal to BM?

24242412.512.512.5AAABBBCCCDDDMMM

2

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

3

Final Answer

BM=MD=AM=MC=12.5

Practice Quiz

Test your knowledge with interactive questions

The points A and O are shown in the figure below.

Is it possible to draw a rectangle so that the side AO is its diagonal?

AAAOOO

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