# Quadrilaterals and Practical Geometry (IMO- Mathematics Olympiad (SOF) Class 8): Questions 33 - 37 of 62

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## Question number: 33

MCQ▾

### Question

ABCD is rhombus, If, then is________.

### Choices

Choice (4) Response

a.

40

b.

120

c.

50

d.

30

## Question number: 34

MCQ▾

### Question

Given below steps of construct a quadrilateral PQRS where PQ = 5.0 cm, QR = 3.0 cm, RS = 4.2 cm, SP = 3.3 cm and which of the following is a wrong step?

(P) Step 1: Draw PQ = 5.0 cm and construct

(Q) Step 2: With P as center and radius SP = 3.3 cm, cut off SP = 3.3 cm along PX.

(R) Step 3: Join. With S as center and radius RS = 4.2 cm, draw an arc.

(S) Step 4: With Q as center and radius QR = 3.0 cm, draw an arc to cut the arc drawn in above step at R. Join QR, RS to obtain the required quadrilateral PQRS.

### Choices

Choice (4) Response

a.

p

b.

R

c.

Q

d.

S

## Question number: 35

MCQ▾

### Question

In a parallelogram ABCD, if, then the others angles are________.

### Choices

Choice (4) Response

a.

35, 145, 145

b.

35, 135, 135

c.

45, 115, 115

d.

45, 125, 135

## Question number: 36

MCQ▾

### Question

The exterior angle of a regular polygon is one-fourth of its interior angle. How many sides has the polygon?

### Choices

Choice (4) Response

a.

8

b.

10

c.

4

d.

12

## Question number: 37

MCQ▾

### Question

To construct a convex quadrilateral which of the following cases is not correct?

### Choices

Choice (4) Response

a.

When the lengths of four sides and one diagonal are given

b.

When the lengths of three sides and the two diagonal given.

c.

When the lengths of two sides and one angle are given.

d.

When the lengths of two sides and two included angles are given.

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