A rhombus can be constructed uniquely if both diagonals are given. State whether the statement is true or false.
Solution:
Given, A rhombus can be constructed uniquely if both diagonals are given
We have to determine if the given statement is true or false.
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.
Since the diagonals bisect each other, the measure of diagonals can be used to construct a rhombus.
Therefore, the length of two diagonals of a rhombus can be used to construct a unique rhombus.
✦ Try This: A parallelogram can be constructed uniquely if both diagonals are given. State whether the statement is true or false
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 131
A rhombus can be constructed uniquely if both diagonals are given. State whether the statement is true or false.
Summary:
The given statement, ”A rhombus can be constructed uniquely if both diagonals are given” is true.
☛ Related Questions: