Two sticks each of length 7 cm are crossing each other such that they bisect each other at right angles. What shape is formed by joining their end points? Give reason.
Solution:
Given, two sticks each of length 7 cm.
Two sticks are crossing each other such that they bisect each other at right angles.
We have to find the shape formed by joining their end points.
According to the question,
The length of two sticks are equal.
Two sticks crossing each other bisect each other at right angles implies that the diagonals bisect each other at right angles.
In a rhombus, opposite sides are parallel and the opposite angles are equal.
All the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles.
Therefore, the shape formed is a rhombus.
✦ Try This: Two sticks each of length 14 cm are crossing each other such that they bisect each other at right angles. What shape is formed by joining their end points? Give reason.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 142
Two sticks each of length 7 cm are crossing each other such that they bisect each other at right angles. What shape is formed by joining their end points? Give reason.
Summary:
Two sticks each of length 7 cm are crossing each other such that they bisect each other at right angles. The shape formed by joining their end points is a rhombus.
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