Verify Rectangle Properties: Number of Right Angles Analysis

Q: What makes a rectangle different from other quadrilaterals?

A rectangle is special because ALL four of its angles are right angles ($ 90^\circ $). Other quadrilaterals like parallelograms or trapezoids can have different angle measurements.

Q: How many right angles does a rectangle actually have?

A rectangle has exactly four right angles - one at each corner! This is what defines it as a rectangle. Each angle measures precisely $ 90^\circ $.

Q: Can a shape be a rectangle if it has only one right angle?

No! If a quadrilateral has only one right angle, it cannot be a rectangle. Rectangles must have all four angles as right angles to qualify as rectangles.

Q: Why do all angles in a rectangle have to be right angles?

This is the definition of a rectangle! Just like a triangle must have three sides, a rectangle must have four right angles. It's one of the fundamental properties that makes it a rectangle.

Q: What's the difference between a rectangle and a square?

Both rectangles and squares have four right angles. The difference is that squares also have all four sides equal in length, while rectangles only need opposite sides to be equal.

Rectangle Properties with Angle Verification

True or false:

There is only one right angle in rectangle.

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Step-by-step written solution

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Understand the problem

True or false:

There is only one right angle in rectangle.

Step-by-step solution

To determine whether the given statement is true or false, we must rely on the fundamental properties of a rectangle.

A rectangle is a type of quadrilateral that has the following defining properties:

All four interior angles are right angles, each measuring $90^\circ$ .
The opposite sides are parallel and equal in length.

Based on these properties, each angle in a rectangle is always a right angle. Therefore, contrary to the statement given, a rectangle does not have only one right angle; in fact, it has four right angles.

Thus, the statement "There is only one right angle in a rectangle" is False.

Final Answer

False

Key Points to Remember

Essential concepts to master this topic

Definition: Rectangles have exactly four right angles measuring $90^\circ$ each
Property: All interior angles in any rectangle sum to $360^\circ$ total
Check: Count all four corners: each measures exactly $90^\circ$ ✓

Common Mistakes

Avoid these frequent errors

Confusing rectangles with other quadrilaterals
Don't think rectangles have only one right angle like some other shapes = wrong count! This confuses rectangles with parallelograms or trapezoids that can have different angle measures. Always remember that rectangles are defined by having ALL four angles as right angles.

Practice Quiz

Test your knowledge with interactive questions

True or false?

One of the angles in a rectangle may be an acute angle.

FAQ

Everything you need to know about this question

What makes a rectangle different from other quadrilaterals?

A rectangle is special because ALL four of its angles are right angles ( $90^\circ$ ). Other quadrilaterals like parallelograms or trapezoids can have different angle measurements.

How many right angles does a rectangle actually have?

A rectangle has exactly four right angles - one at each corner! This is what defines it as a rectangle. Each angle measures precisely $90^\circ$ .

Can a shape be a rectangle if it has only one right angle?

No! If a quadrilateral has only one right angle, it cannot be a rectangle. Rectangles must have all four angles as right angles to qualify as rectangles.

Why do all angles in a rectangle have to be right angles?

This is the definition of a rectangle! Just like a triangle must have three sides, a rectangle must have four right angles. It's one of the fundamental properties that makes it a rectangle.

What's the difference between a rectangle and a square?

Both rectangles and squares have four right angles. The difference is that squares also have all four sides equal in length, while rectangles only need opposite sides to be equal.

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