Analyzing Triangle Partitions in a Rhombus: Overlapping Analysis

Look at the rhombus below.

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Are the four triangles overlapping?

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Step-by-step video solution

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00:02 Are all the triangles formed by the diagonals of a rhombus the same size?
00:08 First, remember that in a rhombus, all the sides are equal in length.
00:14 Also, the diagonals of a rhombus cross each other at equal angles.
00:24 So, triangles are congruent using Side, Angle, Side. That's S, A, S.
00:35 And that's how we find the answer to our question.

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1

Understand the problem

Look at the rhombus below.

BBBAAACCCDDD

Are the four triangles overlapping?

3

Final Answer

Yes

Practice Quiz

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Look at the following rhombus:

Are the diagonals of the rhombus parallel?

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