name the type of quadrilateral formed by joining the points A(-1,-2) B(1,0) C(-1,2) and D(-3,0) on a graph paper.justify your answer
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Given: The points: A(-1,-2) B(1,0) C(-1,2) and D(-3,0)
To find: The quadrilateral formed?
Solution:
- Now we have given four points A(-1,-2) B(1,0) C(-1,2) and D(-3,0)
- So by distance formula, we have:
distance of AB = √(1+1)² = (0+2)² = 2√2 cm
distance of BC = √(-1-1)² = (2-0)² = 2√2 cm
- Similarly CD = AD = 2√2 cm
- So AB = BC = CD = AD = 2√2 cm
- Now slope of AB = -1-1/ -2 = 1
slope of BC = 2 / -1-1 = -1
- So slope of AB x slope of BC = -1 x 1 = -1
- So AB is perpendicular to BC as the product is negative.
- So the quadrilateral formed is square.
Answer:
The quadrilateral formed is square.
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this is the answer
it's is very easy
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