In a class, a teacher asked the students to define a quadrilateral in different ways- using sides, using angles, using diagonals etc.
The teacher's objective is to

Options

A. help the students to explore various definitions
B. help the students to understand quadrilateral from different perspectives
C. help the students to memorise all definitions by heart
D. help the students to solve all problems of quadrilateral basedon definitions

Answer

To solve the question about the teacher's objective in asking students to define a quadrilateral in different ways, we can break it down step by step.

### Step-by-Step Solution:

1. **Understanding the Question**: The teacher asked students to define a quadrilateral using various methods, such as sides, angles, and diagonals. We need to determine the objective behind this approach.

**Hint**: Think about why a teacher would want students to explore a concept from multiple angles.

2. **Exploring Definitions**: A quadrilateral can be defined in several ways:
- **By Sides**: A quadrilateral has four sides.
- **By Angles**: The sum of the interior angles of a quadrilateral is 360 degrees.
- **By Diagonals**: A quadrilateral has two diagonals that connect opposite vertices.

**Hint**: Consider how these different definitions contribute to a deeper understanding of the shape.

3. **Identifying the Objective**: The teacher's objective is likely to help students explore various definitions and understand the concept of a quadrilateral from different perspectives, rather than just memorizing definitions.

**Hint**: Reflect on the difference between memorization and comprehension in learning.

4. **Evaluating Options**:
- **Option A**: To help students explore various definitions - This seems correct as it aligns with the teacher's method.
- **Option B**: To help students understand the quadrilateral from different perspectives - This is also correct and captures the essence of the teacher's goal.
- **Option C**: To help students memorize all definitions by heart - This does not align with the objective of understanding.
- **Option D**: To help students solve all problems of quadrilaterals based on definitions - This is not the primary goal.

**Hint**: Look for the option that emphasizes understanding over memorization.

5. **Conclusion**: The main purpose of the teacher was to help students understand the quadrilateral from different perspectives, which is best represented by Option B.

**Hint**: Summarize the key points that led you to this conclusion.

### Final Answer:
The teacher's objective was to help students understand the quadrilateral from different perspectives.