IMO Level 1- Mathematics Olympiad (SOF) Class 3: Questions 464 - 464 of 582

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Question number: 464

» Geometry

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Question

Three points of the points on the grid below can be connected to make 1 line segment. Which 3 points are they?

Quadrilateral poly1Quadrilateral poly1: Polygon A, B, C, DSegment aSegment a: Segment [A, B] of Quadrilateral poly1Segment bSegment b: Segment [B, C] of Quadrilateral poly1Segment cSegment c: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, A] of Quadrilateral poly1Segment fSegment f: Segment [E, F] Segment f_1Segment f_1: Segment [E_1, F_1] Segment f_2Segment f_2: Segment [E_2, F_2] Segment f_3Segment f_3: Segment [E_4, F_3] Segment gSegment g: Segment [G, H] Segment g_1Segment g_1: Segment [G_1, H_1] Segment g_2Segment g_2: Segment [G_2, H_2] Segment g_3Segment g_3: Segment [G_4, H_3] Segment g_4Segment g_4: Segment [G_6, H_4] Segment g_5Segment g_5: Segment [G_ {10}, H_5] Segment g_6Segment g_6: Segment [G_ {15}, H_6] Point IPoint I: Intersection point of f_3, gPoint IPoint I: Intersection point of f_3, gPoint I_5Point I_5: Intersection point of f_9, g_ {12} Point I_5Point I_5: Intersection point of f_9, g_ {12} Point I_1Point I_1: Intersection point of f_ {10}, g_ {13} Point I_1Point I_1: Intersection point of f_ {10}, g_ {13} Point I_2Point I_2: Intersection point of f_ {11}, g_ {14} Point I_2Point I_2: Intersection point of f_ {11}, g_ {14} Point I_3Point I_3: Intersection point of f_ {12}, g_ {15} Point I_3Point I_3: Intersection point of f_ {12}, g_ {15} Dtext1 = “D”Mtext1_1 = “M”Htext1_3 = “H”Rtext1_4 = “R”Xtext1_5 = “X”

Figure Shows 5 Points on Grid

Choices

Choice (4)Response

a.

Points D, X and M

b.

Points D, M and H

c.

Points R, X and D

d.

Points M, H and R

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