Understanding Elementary Shapes (IMO- Mathematics Olympiad Class 6): Questions 64 - 65 of 82

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Question number: 64

» Understanding Elementary Shapes

MCQ▾

Question

Measure of BAC in the given figure is

Triangle poly1 Triangle poly1: Polygon A, B, CArc e Arc e: Semicircle through H and IArc h Arc h: Semicircle through J and KSegment c Segment c: Segment [A, B] of Triangle poly1Segment a Segment a: Segment [B, C] of Triangle poly1Segment b Segment b: Segment [C, A] of Triangle poly1Ray f Ray f: Ray through C, DPoint A A = (5.52, 4.84) Point A A = (5.52, 4.84) Point A A = (5.52, 4.84) Point B B = (1.52, 1.6) Point B B = (1.52, 1.6) Point B B = (1.52, 1.6) Point C C = (7.4, 1.6) Point C C = (7.4, 1.6) Point C C = (7.4, 1.6) Point D D = (9.58, 1.6) Point D D = (9.58, 1.6) Point D D = (9.58, 1.6) 40? text2 = “40? “130? text2_1 = “130? “

Image of a Triangle With Given Angles

Showing an image of a triangle with given angles, so find the angle BAC

Choices

Choice (4) Response

a.

900

b.

1100

c.

750

d.

800

Question number: 65

» Understanding Elementary Shapes

MCQ▾

Question

In the figure, not drawn to scale, CBF is a straight line and DBE=900. Find EBF.

Arc c Arc c: Semicircle through G and HLine f Line f: Line through A, DLine f Line f: Line through A, DLine g Line g: Line through F, CRay h Ray h: Ray through B, ESegment i Segment i: Segment [I, J] Segment j Segment j: Segment [J, K] Point A A = (2.1, 3.7) Point A A = (2.1, 3.7) Point A A = (2.1, 3.7) Point D D = (7.86, 2.3) Point D D = (7.86, 2.3) Point D D = (7.86, 2.3) Point F F = (3.86, 5.2) Point F F = (3.86, 5.2) Point F F = (3.86, 5.2) Point C C = (6.12, 0.7) Point C C = (6.12, 0.7) Point C C = (6.12, 0.7) Point B Point B: Intersection point of f, gPoint B Point B: Intersection point of f, gPoint B Point B: Intersection point of f, gPoint E E = (6.1, 5.68) Point E E = (6.1, 5.68) Point E E = (6.1, 5.68) 49? text1 = “49? “

Image Made by Some Different Lines Making a Right Angle

Showing an image made by different line so find the angle EBF

Choices

Choice (4) Response

a.

790

b.

630

c.

410

d.

870

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