Understanding Elementary Shapes (IMO- Mathematics Olympiad (SOF) Class 6): Questions 50 - 53 of 82

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Question number: 50

» Understanding Elementary Shapes

MCQ▾

Question

Find the value of x and hence, in the figure given where BOG is a straight line.

Arc c Arc c: Semicircle through C and EArc d Arc d: Semicircle through F and KLine f Line f: Line through O, ALine g Line g: Line through O, BLine g Line g: Line through O, BRay i Ray i: Ray through O, BPoint O O = (9,2) Point O O = (9,2) Point O O = (9,2) Point A A = (8,5) Point A A = (8,5) Point A A = (8,5) Point B B = (5,2) Point B B = (5,2) Point B B = (5,2) Point G Point G: Point on gPoint G Point G: Point on gPoint G Point G: Point on g (2x 4)? text1 = ” (2x 4)? “ (3x-9)? text1_1 = ” (3x-9)? “

a Geometric Figure Made by a Straight Line and a Crossed Line

Showing a geometric figure made by a straight line and a crossed line

Choices

Choice (4) Response

a.

18,450, 540

b.

12,460, 350

c.

14,420, 480

d.

19,420, 480

Question number: 51

» Understanding Elementary Shapes

MCQ▾

Question

In a right angled triangle if an angle measures , then the measure of other angle is

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 52

» Understanding Elementary Shapes

MCQ▾

Question

In an isosceles , the bisectors of and meet at D. If , then is equal to

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 53

» Understanding Elementary Shapes

MCQ▾

Question

In figure, the side BC of is produced to E, where . If CD bisects and , find and respectively.

Triangle poly1 Triangle poly1: Polygon A, B, CArc d Arc d: Semicircle through F and GArc e Arc e: 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 poly1Segment f Segment f: Segment [C, D] Segment g Segment g: Segment [C, E] Point A A = (5,5) Point A A = (5,5) Point A A = (5,5) Point B B = (3.26,2) Point B B = (3.26,2) Point B B = (3.26,2) Point C C = (7.44,1.98) Point C C = (7.44,1.98) Point C C = (7.44,1.98) Point D Point D: Point on cPoint D Point D: Point on cPoint D Point D: Point on cPoint E E = (12,2) Point E E = (12,2) Point E E = (12,2) 120? text1 = “120? “60? text1_1 = “60? “

Image of a Triangle ABC Having a Bisector CD and One Given Angle

Showing an image of a triangle ABC having a bisector CD then find angle DCB and DBC

Choices

Choice (4) Response

a.

b.

c.

d.

f Page
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