NCERT Class 7 Mathematics Model Paper 1 Questions and Answers Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)
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33. Verify
For
OR
Divide the sum of and by their product.
Ans: LHS.
RHS
OR
34. For given solid, count the number of faces, vertices, and edges. Check the Euler՚s formula also.
Ans: Faces = 7
Vertices = 10
Edges = 15
Euler՚s formula
L. H. S. RHS
Yes, it follows Euler՚s formula
Section-D
35. ABCD is a quadrilateral proves that
Ans: Since, the sum of length of any two sides in a triangle should be greater than the length of third side.
Therefore, In
In
In
In
Adding eq. (i) , (ii) , (iii) and (iv) ,
Hence, it is proved.
36. Construct an isosceles right-angle triangle ABC, where and . Write steps of construction also.
OR
Construct an isosceles triangle in which the lengths of each of its equal sides are 6 cm and the angle between them is write the steps of construction also.
Ans:
Steps:
(i) Draw a line segment .
(ii) At point C, Draw
(iii) Taking C as center and radius 8 cm, draw an arc intersecting CX at B
(iv) Join BA, ABC is required
Or
Steps:
(i) Draw a line segment .
(ii) At point Q, draw an angle
(iii) Taking Q as center, draw an arc with radius 6 cm, which cuts at point P.
(iv) Join PR, PQR is required .