All rectangles are parallelograms. State whether the statement is true or false.
Solution:
Given, All rectangles are parallelograms
We have to determine if the given statement is true or false.
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.
A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.
Each angle of a rectangle is equal to 90 degrees but in a parallelogram each angle cannot be equal to 90 degrees.
Therefore, all rectangles are parallelograms but not vice versa.
✦ Try This: All squares are parallelograms. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 95
All rectangles are parallelograms. State whether the statement is true or false.
Summary:
The given statement, ”All rectangles are parallelograms” is true.
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