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Select the correct option....

Select the correct option.

A

Two pairs of parallel sides - Trapezium

B

A rhombus with 4 right angles - Rectangle

C

Parallelogram with 4 right angles - Rectangle

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the statements provided in the options and determine which one is correct. Let's break it down step by step: ### Step 1: Understand the Definition of a Trapezium A trapezium (or trapezoid in some regions) is defined as a quadrilateral with at least one pair of parallel sides. **Hint:** Remember that a trapezium has only one pair of parallel sides. ### Step 2: Analyze the First Option The first option states that "two pairs of parallel sides make a trapezium." This is incorrect because a trapezium only requires one pair of parallel sides. If there are two pairs of parallel sides, the shape is a parallelogram, not a trapezium. **Hint:** Think about how many pairs of sides need to be parallel for a shape to be classified as a trapezium. ### Step 3: Understand the Definition of a Rhombus A rhombus is a type of quadrilateral where all four sides are of equal length and opposite sides are parallel. **Hint:** Recall that a rhombus does not necessarily have right angles. ### Step 4: Analyze the Second Option The second option suggests that a rhombus has right angles. This is incorrect because a rhombus can have angles that are not 90 degrees. If a rhombus has all right angles, it is specifically a square. **Hint:** Consider the properties of a rhombus and whether it can have right angles. ### Step 5: Understand the Definition of a Rectangle A rectangle is a quadrilateral with four right angles and opposite sides that are equal and parallel. **Hint:** Remember that all angles in a rectangle are right angles. ### Step 6: Analyze the Third Option The third option states that "the parallelogram with four right angles is called a rectangle." This is correct because a rectangle is defined as a parallelogram that has four right angles. **Hint:** Think about the properties of a rectangle and how it relates to parallelograms. ### Conclusion After analyzing all the options, the correct answer is: **Option number 3: The parallelogram with four right angles is called a rectangle.** **Final Answer:** Option number 3.
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