Understanding Elementary Shapes (IMO- Mathematics Olympiad Class 6): Questions 71 - 72 of 82

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Question number: 71

» Understanding Elementary Shapes

MCQ▾

Question

In an isosceles JKL , the bisectors of B and C meet at X. If KJL=1000 , then KXL is equal to

Choices

Choice (4) Response
a.

900

b.

850

c.

1400

d.

650

Question number: 72

» Understanding Elementary Shapes

MCQ▾

Question

In the figure, AB and CD are parallel and JK is the transversal intersecting them at O and P. If JOA=1400 , find BOP and OPC respectively.

Arc c Arc c: Semicircle through E and FArc d Arc d: Semicircle through I and LArc e Arc e: Semicircle through M and NLine f Line f: Line through A, BLine f Line f: Line through A, BLine g Line g: Line through C, DLine g Line g: Line through C, DLine h Line h: Line through J, KLine i Line i: Line through O, PPoint 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 J J = (8.84, 5.2) Point J J = (8.84, 5.2) Point J J = (8.84, 5.2) Point K K = (4.76, 0.22) Point K K = (4.76, 0.22) Point K K = (4.76, 0.22) Point O Point O: Intersection point of f, hPoint O Point O: Intersection point of f, hPoint O Point O: Intersection point of f, hPoint P Point P: Intersection point of g, hPoint P Point P: Intersection point of g, hPoint P Point P: Intersection point of g, h140? text1 = “140? “

Image of One Line JK Intersecting Two Parallel Lines

Showing image of one line intersecting two parallel lines

Choices

Choice (4) Response
a.

1400,500

b.

1300,400

c.

1400,1400

d.

400,1400

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