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Which of the following statements is inc...

Which of the following statements is incorrect ?

A

Each angle of a rectangle is a right angle.

B

A straight angle is `(1)/(2)` of a revolution.

C

A reflex angle is larger than an acute angle.

D

The perpendicular bisector of a line segment is a perpendicular to the line segment that divides it into two parts.

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The correct Answer is:
To determine which of the following statements is incorrect, let's analyze each statement one by one: 1. **Each angle of a rectangle is a right angle.** - A rectangle is defined as a quadrilateral with four right angles. Therefore, this statement is **correct**. 2. **The right angle of a rectangle is 90 degrees.** - By definition, a right angle measures exactly 90 degrees. Thus, this statement is also **correct**. 3. **A straight angle is 1 by 2 of a revolution.** - A complete revolution is 360 degrees. Half of 360 degrees is 180 degrees, which is the measure of a straight angle. Therefore, this statement is **correct**. 4. **The reflex angle is larger than the acute angle.** - An acute angle is less than 90 degrees, while a reflex angle is greater than 180 degrees. Thus, this statement is **correct**. 5. **The perpendicular bisector of a line segment is a perpendicular to the line segment that divides it into two parts.** - The definition of a perpendicular bisector is that it is a line that is perpendicular to a segment and divides it into two equal parts. However, the statement is misleading because it implies that the perpendicular bisector is simply "a perpendicular" rather than a specific line that bisects the segment. Thus, this statement is **incorrect**. ### Conclusion: The incorrect statement is: **"The perpendicular bisector of a line segment is a perpendicular to the line segment that divides it into two parts."** ---
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