All questions of Playing with Constructions for Class 6 Exam

Understanding the Angles of a Square
A square is a special type of quadrilateral with unique properties. Here’s a breakdown of the angles in a square:
Definition of a Square
- A square has four equal sides.
- All interior angles in a square are equal.
- The sum of all interior angles in any quadrilateral is 360 degrees.
Calculating Each Angle
- Since a square has four angles and the total sum is 360 degrees, we can divide this sum by the number of angles:
- 360 degrees ÷ 4 angles = 90 degrees per angle.
Characteristics of 90-Degree Angles
- Each angle in a square measures 90 degrees, which is defined as a right angle.
- Right angles are crucial in many applications, including construction and design, as they ensure that structures are level and even.
Conclusion
- Therefore, the correct answer to the question about the angles of a square is 90 degrees, making option 'B' the right choice.
- Understanding this concept is essential in geometry and helps in recognizing the properties of other shapes as well.
By grasping the angle measurements of a square, students can apply this knowledge to various geometric problems and real-world situations.

Introduction to Straight Lines
Drawing straight lines is a fundamental skill in geometry, essential for creating accurate shapes and figures. Among the tools available, the ruler is specifically designed for this purpose.
Why a Ruler?
- The ruler is a straight-edged tool, typically made of wood, plastic, or metal.
- It features marked measurements, allowing for precision in length and alignment.
Comparison with Other Tools
- Compass: Used for drawing arcs and circles, not straight lines. It has a pointed end and a pencil end.
- Divider: Primarily used for measuring distances on a map or transferring measurements. It consists of two pointed ends and is not suitable for drawing lines.
- Protractor: Designed for measuring angles, it cannot create straight lines.
Conclusion
In summary, the ruler is the correct choice for drawing straight lines due to its straight edge and measurement capabilities. Understanding the appropriate use of each geometric tool enhances precision in geometric constructions.

Understanding Rectangle Properties
A rectangle is a specific type of quadrilateral that has distinct properties. Among the options given, the correct property of a rectangle is that opposite sides are equal. Here’s a detailed breakdown of this property and why the other options are incorrect.
Key Property of a Rectangle
- Opposite Sides Are Equal: In a rectangle, the lengths of the opposite sides are always equal. This means if one side measures, for example, 5 units, the side directly opposite it will also measure 5 units. Similarly, the other two sides will also be equal to each other.
Why Other Options Are Incorrect
- All Sides Are Equal: This property describes a square, not a rectangle. A rectangle can have unequal adjacent sides (like 5 units and 3 units).
- Only One Angle Is 90°: This is false as all four angles in a rectangle are 90°. This is a defining characteristic of rectangles.
- It Has No Diagonals: This statement is incorrect. Rectangles do have diagonals, which are equal in length and bisect each other.
Conclusion
In summary, the defining property of a rectangle is that opposite sides are equal. Understanding these fundamental characteristics will help in identifying and working with rectangles in geometry. Always remember that while rectangles have specific features, they differ from other shapes like squares and trapezoids.

Understanding Diagonals in a Square
To determine how many diagonals a square has, we first need to understand what a diagonal is. A diagonal is a line segment that connects two non-adjacent vertices of a polygon.
Vertices of a Square
- A square has 4 vertices (corners).
- These vertices can be labeled as A, B, C, and D.
Identifying Diagonals
- From each vertex, we can draw lines to connect to other vertices.
- However, diagonals cannot connect adjacent vertices (like A to B or B to C) as those lines are sides of the square.
Counting the Diagonals
- Starting from vertex A:
- Diagonal 1: A to C
- Diagonal 2: A to D (this is not a diagonal; it's a side)
- Moving to vertex B:
- Diagonal 1: B to D (this is not a diagonal; it's a side)
- Diagonal 2: B to C
- Continuing this process, we notice that:
- Only two unique diagonals exist: AC and BD.
Conclusion
- Therefore, the square has a total of 2 diagonals.
- This can be visually confirmed by drawing a square and marking the diagonals.
In summary, the correct answer is option B: a square has 2 diagonals.