IMO Level 1- Mathematics Olympiad (SOF) Class 3: Questions 465 - 465 of 582

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Question number: 465

» Geometry

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Question

Piyush put some shapes into the group shown using the rule “Number of corners of shapes is same. “

Quadrilateral poly1 Quadrilateral poly1: Polygon C, D, E, F Quadrilateral poly2 Quadrilateral poly2: Polygon G, H, I, J Quadrilateral poly3 Quadrilateral poly3: Polygon K, L, M, N Triangle poly4 Triangle poly4: Polygon S, T, U Circle c Circle c: Circle through B with center A Segment c_1 Segment c_1: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, E] of Quadrilateral poly1 Segment e Segment e: Segment [E, F] of Quadrilateral poly1 Segment f Segment f: Segment [F, C] of Quadrilateral poly1 Segment g Segment g: Segment [G, H] of Quadrilateral poly2 Segment h Segment h: Segment [H, I] of Quadrilateral poly2 Segment i Segment i: Segment [I, J] of Quadrilateral poly2 Segment j Segment j: Segment [J, G] of Quadrilateral poly2 Segment k Segment k: Segment [K, L] of Quadrilateral poly3 Segment l Segment l: Segment [L, M] of Quadrilateral poly3 Segment m Segment m: Segment [M, N] of Quadrilateral poly3 Segment n Segment n: Segment [N, K] of Quadrilateral poly3 Segment u Segment u: Segment [S, T] of Triangle poly4 Segment s Segment s: Segment [T, U] of Triangle poly4 Segment t Segment t: Segment [U, S] of Triangle poly4 X text1 = “X” Y text1_1 = “Y” Z text1_2 = “Z” W text1_3 = “W”

Four Shapes Are Given in Circle

Find the correct shape

Which shape also seems to belong in his group?

Choices

Choice (4) Response

a.

Circle c Circle c: Circle through B with center A Circle c Circle c: Circle through B with center A M text1 = “M”

Shown Figure is Geometry Shape Choice- A

Find the correct shape

b.

Pentagon poly1 Pentagon poly1: Polygon A, B, C, D, E Segment a Segment a: Segment [A, B] of Pentagon poly1 Segment b Segment b: Segment [B, C] of Pentagon poly1 Segment c Segment c: Segment [C, D] of Pentagon poly1 Segment d Segment d: Segment [D, E] of Pentagon poly1 Segment e Segment e: Segment [E, A] of Pentagon poly1 N text1 = “N”

Shown Figure is Geometry Shape Choice- B

Find the correct shape

c.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Segment a Segment a: Segment [A, B] of Quadrilateral poly1 Segment b Segment b: Segment [B, C] of Quadrilateral poly1 Segment c Segment c: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, A] of Quadrilateral poly1 O text1 = “O”

Shown Figure is Geometry Shape Choice- C

Find the correct shape

d.

Triangle poly1 Triangle poly1: Polygon A, B, C Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 P text1 = “P”

Shown Figure is Geometry Shape Choice- D

Find the correct shape