IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 188 - 193 of 931

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Question 188

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Question

MCQ▾

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 189

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Question

MCQ▾

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 190

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Question

MCQ▾

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

Image shows three parallel lines and two transversal lines

Image Shows Three Parallel Lines and Two Transversal Lines

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Choices

Choice (4)Response
a.12 cm
b.14 cm
c.16 cm
d.10 cm

Question 191

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Question

MCQ▾

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

Image of three parallel lines and two transversal lines

Image of Three Parallel Lines and Two Transversal Lines

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Choices

Choice (4)Response
a.2 cm
b.3.5 cm
c.4 cm
d.3 cm

Question 192

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Question

MCQ▾

In the figure, and then ∠4 is________

Image defines the AB, CD and EF is parallel line

Image Defines the AB, CD and EF is Parallel Line

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Choices

Choice (4)Response
a.126˚
b.136˚
c.172˚
d.134˚

Question 193

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Question

MCQ▾

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

Image PQRS is parallelogram

Image PQRS is Parallelogram

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Choices

Choice (4)Response
a.50˚, 60˚, 30˚, 40˚
b.90˚, 60˚, 90˚, 60˚
c.90˚, 90˚, 90˚, 90˚
d.50˚, 45˚, 80˚, 15˚