IMO Level 1- Mathematics Olympiad (SOF) Class 6: Questions 392 - 393 of 1059

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Question number: 392

» Understanding Elementary Shapes

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Question

In the figure, not drawn to scale, XYZ is a right-angled triangle. Find that is double of

Arc c Arc c: Semicircle through L and M Arc d Arc d: Semicircle through N and O Arc e Arc e: Semicircle through P and Q Line f Line f: Line through X, Y Line f Line f: Line through X, Y Line g Line g: Line through Y, Z Line g Line g: Line through Y, Z Line h Line h: Line through Y, W Line h Line h: Line through Y, W Line i Line i: Line through Y, V Line i Line i: Line through Y, V Point X X = (5.88,5.44) Point X X = (5.88,5.44) Point X X = (5.88,5.44) Point Y Y = (5.86,2.04) Point Y Y = (5.86,2.04) Point Y Y = (5.86,2.04) Point Z Z = (9.74,2.06) Point Z Z = (9.74,2.06) Point Z Z = (9.74,2.06) Point W W = (7.46,5.2) Point W W = (7.46,5.2) Point W W = (7.46,5.2) Point V V = (3.12,4.7) Point V V = (3.12,4.7) Point V V = (3.12,4.7) ? text2 = “? “ 75? text3 = “75? “

Image of Two Angles Making a Right-Angle ABC

Showing an image of two angles making a right-angle ABC

Choices

Choice (4) Response

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Question number: 393

» Understanding Elementary Shapes

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MCQ▾

Question

In the figure, AB and CD are parallel and XY is the transversal intersecting them at R and S. If , find and respectively.

Arc e Arc e: Semicircle through M and N Arc c Arc c: Semicircle through Q and R_1 Arc d Arc d: Semicircle through S_1 and T Line f Line f: Line through A, B Line f Line f: Line through A, B Line g Line g: Line through C, D Line g Line g: Line through C, D Line h Line h: Line through X, Y Line i Line i: Line through R, S Point A A = (3.9,3.4) Point A A = (3.9,3.4) Point A A = (3.9,3.4) Point B B = (9.64,3.4) Point B B = (9.64,3.4) Point B B = (9.64,3.4) Point C C = (3.84,1.76) Point C C = (3.84,1.76) Point C C = (3.84,1.76) Point D D = (9.66,1.76) Point D D = (9.66,1.76) Point D D = (9.66,1.76) Point X X = (8.84,5.2) Point X X = (8.84,5.2) Point X X = (8.84,5.2) Point Y Y = (4.76,0.22) Point Y Y = (4.76,0.22) Point Y Y = (4.76,0.22) Point R Point R: Intersection point of f, h Point R Point R: Intersection point of f, h Point R Point R: Intersection point of f, h Point S Point S: Intersection point of g, h Point S Point S: Intersection point of g, h Point S Point S: Intersection point of g, h 110? text1 = “110? “

Image of One Line XY Intersecting Two Parallel Lines

Showing image of one line intersecting two parallel lines

Choices

Choice (4) Response

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c.

d.