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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
The points A (–1, 0), B (3, 1), C (2, 2) and D (–2, 1) are the vertices of a parallelogram. Is the following statement true or false
Solution:
We know that
The distance between two points (x₁, y₁) and (x₂, y₂) is
d=√(x2−x1)2+(y2−y1)2
First let us consider
AB = √(3+1)2+(1−0)2=√17
BC = √(2−3)2+(2−1)2=√2
CD = √(−2−2)2+(1−2)2=√17
AD = √(−2+1)2+(1−0)2=√2
So we get
AB = CD and BC = AD
Therefore, the points are the vertices of a parallelogram.
✦ Try This: The points A (-2, 0), B (4, 2), C (3, 3) and D (-3, 1) are the vertices of a parallelogram.
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 7
NCERT Exemplar Class 10 Maths Exercise 7.2 Sample Problem 1
The points A (–1, 0), B (3, 1), C (2, 2) and D (–2, 1) are the vertices of a parallelogram. Is the following statement true or false
Summary:
True, the points A (–1, 0), B (3, 1), C (2, 2) and D (–2, 1) are the vertices of a parallelogram
☛ Related Questions:
- The points (4, 5), (7, 6) and (6, 3) are collinear. Is the following statement true or false
- Point P (0, –7) is the point of intersection of y-axis and perpendicular bisector of line segment jo . . . .
- ∆ ABC with vertices A (–2, 0), B (2, 0) and C (0, 2) is similar to ∆ DEF with vertices D (–4, 0) E ( . . . .
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