Every parallelogram is a rectangle. State whether the statement is true or false.
Solution:
Given, Every parallelogram is a rectangle.
We have to determine if the given statement is true or false.
A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.
A rectangle is a closed two-dimensional figure with four sides.
The opposite sides of a rectangle are equal and parallel to each other.
All angles are equal to 90 degrees.
The diagonals of a rectangle are equal.
In a parallelogram, all angles are not equal to 90 degrees.
Therefore, every parallelogram is not a rectangle.
✦ Try This: Every parallelogram is a square. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 115
Every parallelogram is a rectangle. State whether the statement is true or false.
Summary:
The given statement, ”Every parallelogram is a rectangle” is false.
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