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Find the odd statement : Two lines are p...

Find the odd statement : Two lines are perpendicular to each other if they are,

A

Adjacent sides of a rectangle.

B

Diagnoals of a rhombus.

C

Hypotenuse and one side of a right-angle triangle.

D

Adjacent sides of a square.

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To solve the problem of finding the odd statement regarding perpendicular lines, we will analyze each statement one by one. ### Step-by-Step Solution: 1. **Understanding Perpendicular Lines**: Two lines are said to be perpendicular if they intersect at a right angle (90 degrees). 2. **Analyzing the Statements**: - **Statement 1**: "Adjacent sides of a rectangle are perpendicular." - **Analysis**: In a rectangle, the adjacent sides meet at right angles. Therefore, this statement is **true**. - **Statement 2**: "Diagonals of a rhombus are perpendicular." - **Analysis**: In a rhombus, the diagonals intersect at right angles. Thus, this statement is **true**. - **Statement 3**: "Hypotenuse and one side of a right angle triangle are perpendicular." - **Analysis**: In a right-angled triangle, the hypotenuse is opposite the right angle and is not perpendicular to the other sides. Therefore, this statement is **false**. - **Statement 4**: "Adjacent sides of a square are perpendicular." - **Analysis**: In a square, the adjacent sides also meet at right angles. Hence, this statement is **true**. 3. **Identifying the Odd Statement**: - From the analysis, statements 1, 2, and 4 are true, while statement 3 is false. Therefore, the odd statement is **Statement 3**. ### Final Answer: The odd statement is: **"Hypotenuse and one side of a right angle triangle are perpendicular."**
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