# Quadrilaterals and Practical Geometry (IMO- Mathematics Olympiad Class 8): Questions 31 - 34 of 62

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## Question number: 31

» Quadrilaterals and Practical Geometry

MCQ▾

### Question

Four angles of a quadrilateral are in the ratio 3: 6: 9: 12. The smallest angle is________.

### Choices

Choice (4) Response

a.

20

b.

50

c.

36

d.

10

## Question number: 32

» Quadrilaterals and Practical Geometry

Match List-Ⅰ List-Ⅱ▾

### Question

Match the following.
List-Ⅰ (List Of Geomertic Shapes) List-Ⅱ (Characteristic Of Shapes)

(A)

Trapezoid

(i)

Diagonals are congruent

(B)

Rhombus

(ii)

Diagonals bisect each other

(C)

Parallelogram

(iii)

Diagonals are perpendicular

### Choices

Choice (4) Response
• (A)
• (B)
• (C)

a.

• (ii)
• (i)
• (iii)

b.

• (i)
• (ii)
• (iii)

c.

• (i)
• (iii)
• (ii)

d.

• (ii)
• (iii)
• (i)

## Question number: 33

» Quadrilaterals and Practical Geometry

MCQ▾

### Question

ABCD is rhombus, If, then is________.

### Choices

Choice (4) Response

a.

40

b.

120

c.

50

d.

30

## Question number: 34

» Quadrilaterals and Practical Geometry

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

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