# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 188 - 193 of 929

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## Question number: 188

### Question

In and , , are extended to X and Y respectively and . Under which congruency criterion, the triangles are congruent?

### Choices

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

a. | SAA | |

b. | SAS | |

c. | SSS | |

d. | SSA |

## Question number: 189

» Lines, Angles and Quadrilaterals

### Question

The angle between bisectors of the angles of a linear pair is ________

### Choices

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

a. | 90˚ | |

b. | 30˚ | |

c. | 45˚ | |

d. | 180˚ |

## Question number: 190

» Lines, Angles and Quadrilaterals

### Question

Three parallel lines are cut by two transversals as shown in the given figure. If , and , then the length of QR is ________

### Choices

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

a. | 12 cm | |

b. | 14 cm | |

c. | 16 cm | |

d. | 10 cm |

## Question number: 191

» Lines, Angles and Quadrilaterals

### Question

Three parallel lines are cut by two transversals as shown in the given figure. If , and , then the length of EF is ________

### Choices

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

a. | 2 cm | |

b. | 3.5 cm | |

c. | 4 cm | |

d. | 3 cm |

## Question number: 192

» Lines, Angles and Quadrilaterals

### Question

In the figure , and then ∠4 is________

### Choices

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

a. | 126˚ | |

b. | 136˚ | |

c. | 172˚ | |

d. | 134˚ |

## Question number: 193

» Lines, Angles and Quadrilaterals

### Question

The angles P, Q, R, S in the parallelogram PQRS are________

### Choices

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

a. | 50˚, 60˚, 30˚, 40˚ | |

b. | 90˚, 60˚, 90˚, 60˚ | |

c. | 90˚, 90˚, 90˚, 90˚ | |

d. | 50˚, 45˚, 80˚, 15˚ |