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Question 5c

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ABCD is a quadrilateral. BCD is an isosceles triangle. BC = CD, ∠BDC = 58° and ∠ABD = 57°. The figure above is not drawn to scale. Each statement is either true, false, or not possible to tell from the information given. Put a tick (✓) to indicate your answer. ABCD is a rhombus.

Question 5c diagram

Answer: False

Workings

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property of rhombus is that half of rhombus is identical isosceles triangle

which means if ABCD is a rhombus, that meand ∠ ABD must be the same as ∠ BDC or ∠ DBC

since its not the same, that means ABCD is not a rhombus

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