RBSE Solutions Class 6 Maths Chapter 9 Simple Two Dimensional Shapes Exercise 9.3

Question 1. Name the quadrilaterals formed in the following figures.
Answer: In the provided figures, we can identify various four-sided shapes called quadrilaterals. A quadrilateral is any closed shape with exactly four straight sides and four angles.
(i) The quadrilaterals formed in Figure (i) are ABCD, ABJI, EFGH, and JIDC. Additionally, there are many smaller quadrilaterals within the grid, including 16 individual unit squares.
(ii) The quadrilaterals formed in Figure (ii) are ABCG and CDEF.
In simple words: We need to find and name all the shapes with four sides in each picture.

🎯 Exam Tip: When naming quadrilaterals from a figure, always list the vertices in a continuous order (e.g., ABCD, not ACBD) to clearly define the shape.

Question 2. Write the number of quadrilaterals formed in the following figures.
Answer: The task is to count how many four-sided shapes are present in each of the given pictures. Counting quadrilaterals requires looking for squares, rectangles, and other four-sided shapes, including those made up of smaller parts.
(i) The total number of quadrilaterals in Figure (i) is 6.
(ii) The total number of quadrilaterals in Figure (ii) is 6.
In simple words: Count all the shapes that have four sides in each drawing. Both drawings have 6 quadrilaterals.

🎯 Exam Tip: To avoid missing any, mentally break down complex figures into simpler parts and count each quadrilateral carefully, from the smallest individual units to the largest combined figures.

Question 3. Draw a rough sketch of quadrilateral KLMN, and identify-
(i) Two pairs of opposite sides
(ii) Two pairs of adjacent sides
(iii) Two pairs of opposite angles
(iv) Two pairs of adjacent angles.
Answer: The question asks to draw a simple four-sided shape (quadrilateral) and then name its different parts. A quadrilateral's properties, like its sides and angles, help us classify different types of quadrilaterals. (i) Two pairs of opposite sides: KL and NM, LM and NK
(ii) Two pairs of adjacent sides: KL and LM, MN and NK
(iii) Two pairs of opposite angles: \( \angle K \) and \( \angle M \), \( \angle L \) and \( \angle N \)
(iv) Two pairs of adjacent angles: \( \angle K \) and \( \angle L \), \( \angle L \) and \( \angle M \)
In simple words: First, draw a four-sided shape named KLMN. Then, list the sides that are across from each other, the sides that are next to each other, the angles that are across from each other, and the angles that are next to each other.

🎯 Exam Tip: Remember that opposite elements are across from each other (e.g., side KL and NM), while adjacent elements are next to each other (e.g., side KL and LM) along the shape's boundary.

Question 4. Write the numbers of rectangles and squares in the following figures.
Answer: The task is to count how many rectangular and square shapes are present in each of the given pictures. Squares are special types of rectangles where all four sides are equal.

S. No.	Figure	Number of Squares	Number of Rectangles
(i)		6 ABGH, ABFI, GHLC, DEJK, DEIL, KJFC	5 ABCL, CDEF, FGHI, IJKL, CFIL
(ii)		1 ADFI	2 BKHJ, CEGK

In simple words: The table shows how many square shapes and rectangle shapes are in each picture, and lists some of them by name.
🎯 Exam Tip: To properly count squares and rectangles, always look for figures of all possible sizes, from the smallest individual units to the largest figures formed by combining smaller ones.

Question 5. In the given quadrilateral PQRS, identify-
(i) Angle opposite to \( \angle P \)
(ii) Angle adjacent to \( \angle R \)
(iii) Side opposite to QR
(iv) Side adjacent to PS
(v) Name all four angles
Answer: The question asks us to look at a four-sided figure called PQRS and point out different parts. Understanding these basic terms like 'opposite' and 'adjacent' is fundamental for describing geometric shapes and their properties. (i) Angle opposite to \( \angle P \) is \( \angle R \).
(ii) Angle adjacent to \( \angle R \) can be \( \angle Q \) or \( \angle S \).
(iii) Side opposite to QR is Side PS.
(iv) Side adjacent to PS can be Side RS or Side PQ.
(v) All four angles are \( \angle P, \angle Q, \angle R \) and \( \angle S \).
In simple words: For the shape PQRS, we name the angle across from P, the angles next to R, the side across from QR, the sides next to PS, and all four angles.

🎯 Exam Tip: Always draw a quick sketch to visualize the positions of sides and angles, even if not explicitly asked, as it greatly helps in accurate identification of opposite and adjacent parts.