# Lines, Angles and Quadrilaterals [IMO Level 2- Mathematics Olympiad (SOF) Class 9]: Questions 1 - 5 of 33

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## Question 1

### Question

MCQ▾In the given figure, ABCD is a parallelogram in which P is the midpoint of DC and Q is a point on AC such that CQ = . Also, PQ when produced meets BC at R. Then CR = ________.

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | RB | |

d. | Question does not provide sufficient data or is vague |

## Question 2

### Question

MCQ▾In the given figure, and and . If then find the measure of .

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. | None of the above |

## Question 3

### Question

MCQ▾AB and CD are two parallel lines and a transversal PQ intersects AB and CD at M and N respectively. If the bisector of the interior angles forms a quadrilateral, then formed quadrilateral is a ________.

### Choices

Choice (4) | Response | |
---|---|---|

a. | Trapezium | |

b. | Rectangle | |

c. | Square | |

d. | All of the above |

## Question 4

Appeared in Year: *2014*

### Question

MCQ▾The largest possible length of a tape which can measure , and length of clothes in a minimum number of attempts without measuring the length of a cloth in a fraction of the tape՚s length is ________.

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 5

Appeared in Year: *2014*

### Question

MCQ▾In a class, teacher gave two identical cardboard pieces which are in the shape of a parallelogram to two groups. First group was asked to find area of parallelogram using AB as base. Then, another group was asked to find height h of the parallelogram with AD as base.

What is the height of the parallelogram in group II?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 4.8 cm | |

b. | 4 cm | |

c. | 8.4 cm | |

d. | 5.6 cm |