A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Is it a rectangle? Why or why not?
Solution:
Given, a photo frame is in the shape of a quadrilateral.
One diagonal is longer than the other.
We have to determine if the shape is a rectangle or not.
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.
According to the question,
The length of two diagonals are different.
In a rectangle, the diagonals are equal in length.
Therefore, the photo frame is not a rectangle.
In a parallelogram or rhombus, the diagonals bisect each other.
Therefore, the photo frame can be a parallelogram or rhombus.
✦ Try This: A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Is it a Square? Why or why not
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 137
A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Is it a rectangle? Why or why not
Summary:
A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Since the diagonals are not equal, the photo frame is not in the shape of a rectangle.
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