IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 161 - 164 of 929

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Question number: 161

» Lines, Angles and Quadrilaterals

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MCQ▾

Question

If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersects at a point O such that , then value of k is ________

Image defines the bisectors of two adjacent angles A and B

Image Defines the Bisectors of Two Adjacent Angles a and B

Image defines the ABCD is quadrilateral and define two adjacent angles A and B intersect point O, find the value of k

Choices

Choice (4) Response

a.

5

b.

4

c.

3

d.

2

Question number: 162

» Lines, Angles and Quadrilaterals

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MCQ▾

Question

XYZ is an equilateral triangle for side . J, K and L are midpoints of XY, YZ and XZ respectively. The area of triangle JKL is (in ) ________

XYZ is an equilateral triangle for side given

XYZ is an Equilateral Triangle for Side Given

Image XYZ is an equilateral triangle, find the area of triangle is JKL

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 163

» Lines, Angles and Quadrilaterals

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MCQ▾

Question

The supplementary angle of an angle is one fifth of itself. Then the angle of its supplement are________

Choices

Choice (4) Response

a.

160˚, 130˚

b.

150˚, 30˚

c.

160˚, 20˚

d.

150˚, 45˚

Question number: 164

» Coordinate Geometry

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MCQ▾

Question

In the adjoining figure, point P the intersection of lines l1 and l2 has coordinates (a, b) as shown here. Which of the following could be the ordered pair (a, b)?

point P the intersection of lines l1 & l2 has coordinates (a,b)

Point P the Intersection of Lines l1 & l2 Has Coordinates (A, B)

Adjoining figure, point P the intersection of lines l1 and l2 has coordinates (a, b) as shown here find the ordered pair (a, b)

Choices

Choice (4) Response

a.

b.

c.

d.