B
11. Show that the four triangles as shown in the adjoining figure,
formed by diagonals and sides of rhombus are congruent.
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Answer:
A rhombus is a parallelogram with four congruent sides.
So, all sides of rhombus ABCD are congruent. That is
AB≅BC≅CD≅AD
We also know that the diagonals of a parallelogram bisect
each other. Since a rhombus is a parallelogram, it also has
this property.
∴BE≅DE,AE≅CE.
∴ all 4 triangles are congruent by SSS.
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