# NCERT Class 7 Mathematics Model Paper 1 Questions and Answers Part 5

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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 .... (i)

In .... (ii)

In .... (iii)

In .... (iv)

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 .