Question
Given the sides of a quadrilateral are of equal length and each of its angles measures the same which is when the minute hand moves from 3 to 6. Find the angle between the diagonals. [3 MARKS]
Answer:
:
Steps: 2 Marks
Answer: 1 Mark
The angle covered when the minute hand moves from 3 to 6 is 90 degrees.
Given that:
The sides of the quadrilateral are equal.
So the quadrilateralcan either be a rhombus or a Square.
But the angles included between the sides is 90∘.
∴ The quadrilateral is a Square.
Now in asquare, the diagonals intersect each other at 90∘.
So angle between the diagonals is 90∘
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:
Steps: 2 Marks
Answer: 1 Mark
The angle covered when the minute hand moves from 3 to 6 is 90 degrees.
Given that:
The sides of the quadrilateral are equal.
So the quadrilateralcan either be a rhombus or a Square.
But the angles included between the sides is 90∘.
∴ The quadrilateral is a Square.
Now in asquare, the diagonals intersect each other at 90∘.
So angle between the diagonals is 90∘
Was this answer helpful ?
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