6th Standard Maths Practice Set 37 Answers Chapter 16 Quadrilaterals
Question 1
Maharashtra Board Solution
Observe the figures below and find out their names:
Solution & Step-by-Step Answer:
i. Pentagon (5 sides) ii. Hexagon (6 sides) iii. Heptagon (7 sides) iv. Octagon (8 sides)
Maharashtra Board Class 6 Maths Chapter 16 Quadrilaterals Practice Set 37 Intext Questions and Activities
Question 1
Maharashtra Board Solution
Observe the figures given below and say which of them are quadrilaterals. (Textbook pg. no. 81)
Solution & Step-by-Step Answer:
Is a quadrilateral: (i)
Question 2
Maharashtra Board Solution
Draw a quadrilateral. Draw one diagonal of this quadrilateral and divided it into two triangles. Measures all the angles in the figure. Is the sum of the measures of the four angles of the quadrilateral equal to the sum of the measures of the six angles of the two triangles? Verity that this is so with other quadrilaterals. (Textbook pg. no. 84)
Solution & Step-by-Step Answer:
m∠PQR = 104° m∠QRP = 26° m∠RPQ = 50° m∠PRS = 34° m∠RSP = 106° m∠SPR = 40° ∴ Sum of the measures of the angles of quadrilateral = m∠PQR + m∠QRP + m∠RPQ + m∠PRS + m∠RSP + m∠SPR = 104° + 26° + 50° + 34° + 106° + 40° = 360° Also, we observe that Sum of the measures of the angles of quadrilateral = Sum of the measures of angles of the two triangles (PQR and PRS) = (104°+ 26°+ 50°)+ (34° + 106° + 40°) = 180° + 180° = 360° [Note: Students should drew different quadrilaterals and verify the property.]
Question 3
Maharashtra Board Solution
For the pentagon shown in the figure below, answer the following: (Textbook pg. no. 84)
Solution & Step-by-Step Answer:
Question 4. Cut out a paper in the shape of a quadrilateral. Make folds in it that join the vertices of opposite angles. What can these folds be called? (Textbook pg. no. 83) Solution: The folds are called diagonals of the quadrilateral.
Question 5
Maharashtra Board Solution
Take two triangular pieces of paper such that. one side of one triangle is equal to one side of the other. Let us suppose that in ∆ABC and ∆PQR, sides AC and PQ are the equal sides. Join the triangles so that their equal sides lie B side by side. What figure do we get? (Textbook pg. no. 83)
Solution & Step-by-Step Answer:
If we place the triangles together such that the equal sides overlap, the two triangles form a quadrilateral.
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