# IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 666 - 672 of 1022

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## Question 666

### Question

MCQ▾In a triangle ABC, and D is the mid – point of AC. The value of is equal to ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 667

## Question 668

### Question

MCQ▾In the given figure, triangles ABC and DCB are right angled at A and D respectively and , then of from

### Choices

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

a. | ASS | |

b. | SAS | |

c. | AAA | |

d. | None of the above |

## Question 669

### Question

MCQ▾In the given figure, and , then

### Choices

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

a. | PA = OB | |

b. | OP = BQ | |

c. | AP = QB | |

d. | OA = OQ |

## Question 670

### Question

MCQ▾If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 , then the length of each leg is ________.

### Choices

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

a. | cm | |

b. | cm | |

c. | cm | |

d. | 10 cm |

## Question 671

### Question

MCQ▾In the figure (not drawn to scale), ABC is an equilateral triangle and DAB is an isosceles triangle with DA = DB, find y.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 672

### Question

MCQ▾Which of the following statements is true?

### Choices

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

a. | The bisector of the vertical angle of an isosceles triangle bisects the base at right angles. | |

b. | If the hypotenuse and an acute angle of one right angled triangle is equal to the hypotenuse and the corresponding acute angle of another triangle, then the triangles are congruent. | |

c. | In an isosceles triangle, the angles opposite to equal sides are equal. | |

d. | All a. , b. and c. are correct |