NCERT Solutions Class 6 Maths Chapter 10 — Playing with Constructions

Solution:

Step 1: A ruler is used for drawing straight lines and measuring lengths.

Step 2: A protractor is used for measuring and drawing angles.

Step 3: A compass has two arms, one with a pencil and one with a pointed tip. The pointed tip is fixed at the center, and the pencil arm rotates to draw a circle, keeping the radius constant.

Step 4: Set-squares are used for drawing parallel and perpendicular lines.

Solution:

Step 1: Accuracy is key in constructions.

Step 2: To accurately measure and draw a line segment of a specific length using a ruler, one must always start marking the first point (A) from the 0 cm mark on the ruler.

Step 3: Then, mark the second point (B) at the desired length, which is 5.5 cm in this case.

Solution:

Step 1: The process of copying a line segment involves transferring its exact length.

Step 2: First, draw a ray from a starting point.

Step 3: Then, use the compass to measure the length of the original line segment PQ by placing the pointer at P and the pencil tip at Q. This sets the compass opening to the exact length of PQ.

Step 4: After this, place the compass pointer on the starting point of the ray and draw an arc to mark the end of the copied segment.

Solution:

Step 1: By definition, a circle is a set of all points in a plane that are at a constant distance from a given fixed point.

Step 2: This fixed point is called the center, and the constant distance is called the radius.

Step 3: Therefore, every point on the circle is equidistant (meaning 'at an equal distance') from its center.

Solution:

Step 1: Let's break down the properties mentioned: 'divides into two equal parts' and 'at 90° to it'.

Step 2: The term 'bisector' means to divide into two equal parts.

Step 3: The term 'perpendicular' means forming a 90° angle.

Step 4: Combining these, a line with both properties is a perpendicular bisector.