# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 445 - 449 of 929

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## Question number: 445

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MCQ▾

### Question

In an isosceles triangle ABC, with , the bisectors of and intersect each other at O. join A to O, then________ Given the Isosceles Triangle ABC with AB = AC Given the isosceles triangle ABC, with AB = AC, the bisectors of B and C intersect each other at O

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 446

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MCQ▾

### Question

In the adjoining figure, , then is ________ Given the Triangle PQR and Ratio QS: SR Equals 3: 2 Given the triangle PQR and ratio QS: SR equals 3: 2 and find the ratio Area of triangle PQR and PSR

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Choice (4) Response

a.

b.

c.

d.

## Question number: 447

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### Question

The locus of a point equidistant from the three sides of a triangle is ________

### Choices

Choice (4) Response

a.

Orthocenter

b.

Incenter

c.

Centroid

d.

Circumcenter

## Question number: 448

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### Question

The distance between the points P (-4, -3) and Q (5,6) is calculated as

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 449

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MCQ▾

### Question

The and are right angles. If , and , then the length of XZ is ________ Given the WXY and XZY Are Right Angles Given the WXY and XZY are right angles, if WZ is 7 cm, YZ is 17 cm and WX is 19 cm, then Find the length of XZ

### Choices

Choice (4) Response

a.

b.

c.

d.