# IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 669 - 673 of 1022

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## 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

## Question 673

### Question

MCQ▾

In a , which of the given condition holds?

### Choices

Choice (4)Response

a.

b.

c.

d.