Understanding Elementary Shapes (IMO- Mathematics Olympiad Class 6): Questions 5 - 6 of 82

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Question number: 5

» Understanding Elementary Shapes

MCQ▾

Question

In figure, ABDC and ADBC. If DAC=CAB=350 . Find ADC.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, DArc e Arc e: Semicircle through F and GArc g Arc g: Semicircle through M and NArc h Arc h: Semicircle through Q and RSegment a Segment a: Segment [A, B] of Quadrilateral poly1Segment b Segment b: Segment [B, C] of Quadrilateral poly1Segment c Segment c: Segment [C, D] of Quadrilateral poly1Segment d Segment d: Segment [D, A] of Quadrilateral poly1Segment f Segment f: Segment [A, C] Point A A = (4, 4) Point A A = (4, 4) Point A A = (4, 4) Point B B = (7.86, 4) Point B B = (7.86, 4) Point B B = (7.86, 4) Point C C = (6.7, 1.38) Point C C = (6.7, 1.38) Point C C = (6.7, 1.38) Point D D = (2.72, 1.4) Point D D = (2.72, 1.4) Point D D = (2.72, 1.4) 55? text1_1 = “55? “55? text1_2 = “55? “

Image of a Parallelogram or Rhombus ABCD With Two Angles

Showing an image of a parallelogram or rhombus ABCD, so find ∠ADC.

Choices

Choice (4) Response

a.

850

b.

700

c.

650

d.

750

Question number: 6

» Understanding Elementary Shapes

MCQ▾

Question

The measure of BOI and AOB in the following figure is

Arc c Arc c: Semicircle through G and HRay f Ray f: Ray through O, ARay g Ray g: Ray through O, BRay h Ray h: Ray through O, CSegment i Segment i: Segment [D, E] Segment j Segment j: Segment [E, F] Ray k Ray k: Ray through O, IPoint O O = (5.28, 2) Point O O = (5.28, 2) Point O O = (5.28, 2) Point A A = (5.3, 5.26) Point A A = (5.3, 5.26) Point A A = (5.3, 5.26) Point B B = (1.84, 4.28) Point B B = (1.84, 4.28) Point B B = (1.84, 4.28) Point C C = (9.54, 2) Point C C = (9.54, 2) Point C C = (9.54, 2) Point I I = (1.52, 2) Point I I = (1.52, 2) Point I I = (1.52, 2) 90? text1 = “90? “145? text2 = “145? “

Image of Four Lines Making Three Angles

Showing the image of four lines making three angles so find the angle AOB and BOI

Choices

Choice (4) Response

a.

350,550

b.

650,250

c.

450,300

d.

500,450

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