NSTSE (National Science Talent Search Exam- Unified Council) Class 4: Questions 1202 - 1202 of 1971

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Question number: 1202

» Mathematics » Geometry

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Question

Which of the following figures contains exactly three rectangles?

Choices

Choice (4)Response

a.

Triangle poly1Triangle poly1: Polygon A, B, CQuadrilateral poly2Quadrilateral poly2: Polygon D, E, F, GQuadrilateral poly2_1Quadrilateral poly2_1: Polygon D_1, E_1, F_1, G_1Quadrilateral poly3Quadrilateral poly3: Polygon H, I, J, KTriangle poly4Triangle poly4: Polygon L, M, NCircle pCircle p: Circle through P with center OCircle pCircle p: Circle through P with center OCircle p_1Circle p_1: Circle through P_1 with center O_1Circle p_1Circle p_1: Circle through P_1 with center O_1Segment cSegment c: Segment [A, B] of Triangle poly1Segment aSegment a: Segment [B, C] of Triangle poly1Segment bSegment b: Segment [C, A] of Triangle poly1Segment dSegment d: Segment [D, E] of Quadrilateral poly2Segment eSegment e: Segment [E, F] of Quadrilateral poly2Segment fSegment f: Segment [F, G] of Quadrilateral poly2Segment gSegment g: Segment [G, D] of Quadrilateral poly2Segment d_1Segment d_1: Segment [D_1, E_1] of Quadrilateral poly2_1Segment e_1Segment e_1: Segment [E_1, F_1] of Quadrilateral poly2_1Segment f_1Segment f_1: Segment [F_1, G_1] of Quadrilateral poly2_1Segment g_1Segment g_1: Segment [G_1, D_1] of Quadrilateral poly2_1Segment hSegment h: Segment [H, I] of Quadrilateral poly3Segment iSegment i: Segment [I, J] of Quadrilateral poly3Segment jSegment j: Segment [J, K] of Quadrilateral poly3Segment kSegment k: Segment [K, H] of Quadrilateral poly3Segment nSegment n: Segment [L, M] of Triangle poly4Segment lSegment l: Segment [M, N] of Triangle poly4Segment mSegment m: Segment [N, L] of Triangle poly4

This Figure Shows Basic Geometry Shapes - Choice A

b.

Quadrilateral poly2Quadrilateral poly2: Polygon D, E, F, GQuadrilateral poly2_1Quadrilateral poly2_1: Polygon D_1, E_1, F_1, G_1Triangle poly4Triangle poly4: Polygon L, M, NPolygon poly1Polygon poly1: Polygon [Q, R, 4] Polygon poly1Polygon poly1: Polygon [Q, R, 4] Quadrilateral poly3Quadrilateral poly3: Polygon U, V, W, ZCircle pCircle p: Circle through P with center OCircle pCircle p: Circle through P with center OCircle p_1Circle p_1: Circle through P_1 with center O_1Circle p_1Circle p_1: Circle through P_1 with center O_1Segment dSegment d: Segment [D, E] of Quadrilateral poly2Segment eSegment e: Segment [E, F] of Quadrilateral poly2Segment fSegment f: Segment [F, G] of Quadrilateral poly2Segment gSegment g: Segment [G, D] of Quadrilateral poly2Segment d_1Segment d_1: Segment [D_1, E_1] of Quadrilateral poly2_1Segment e_1Segment e_1: Segment [E_1, F_1] of Quadrilateral poly2_1Segment f_1Segment f_1: Segment [F_1, G_1] of Quadrilateral poly2_1Segment g_1Segment g_1: Segment [G_1, D_1] of Quadrilateral poly2_1Segment nSegment n: Segment [L, M] of Triangle poly4Segment lSegment l: Segment [M, N] of Triangle poly4Segment mSegment m: Segment [N, L] of Triangle poly4Segment qSegment q: Segment [Q, R] of Polygon poly1Segment rSegment r: Segment [R, S] of Polygon poly1Segment sSegment s: Segment [S, T] of Polygon poly1Segment tSegment t: Segment [T, Q] of Polygon poly1Segment uSegment u: Segment [U, V] of Quadrilateral poly3Segment vSegment v: Segment [V, W] of Quadrilateral poly3Segment wSegment w: Segment [W, Z] of Quadrilateral poly3Segment z_1Segment z_1: Segment [Z, U] of Quadrilateral poly3

This Figure Shows Basic Geometry Shapes - Choice B

c.

Quadrilateral poly1Quadrilateral poly1: Polygon C, D, E, FQuadrilateral poly1_1Quadrilateral poly1_1: Polygon C_1, D_1, E_1, F_1Quadrilateral poly2Quadrilateral poly2: Polygon I, J, K, LTriangle poly3Triangle poly3: Polygon M, N, OCircle cCircle c: Circle through B with center ACircle cCircle c: Circle through B with center ACircle gCircle g: Circle through H with center GCircle gCircle g: Circle through H with center GCircle g_1Circle g_1: Circle through H_1 with center G_1Circle g_1Circle g_1: Circle through H_1 with center G_1Segment c_1Segment c_1: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, E] of Quadrilateral poly1Segment eSegment e: Segment [E, F] of Quadrilateral poly1Segment fSegment f: Segment [F, C] of Quadrilateral poly1Segment c_2Segment c_2: Segment [C_1, D_1] of Quadrilateral poly1_1Segment d_1Segment d_1: Segment [D_1, E_1] of Quadrilateral poly1_1Segment e_1Segment e_1: Segment [E_1, F_1] of Quadrilateral poly1_1Segment f_1Segment f_1: Segment [F_1, C_1] of Quadrilateral poly1_1Segment iSegment i: Segment [I, J] of Quadrilateral poly2Segment jSegment j: Segment [J, K] of Quadrilateral poly2Segment kSegment k: Segment [K, L] of Quadrilateral poly2Segment lSegment l: Segment [L, I] of Quadrilateral poly2Segment oSegment o: Segment [M, N] of Triangle poly3Segment mSegment m: Segment [N, O] of Triangle poly3Segment nSegment n: Segment [O, M] of Triangle poly3

This Figure Shows Basic Geometry Shapes - Choice C

d.

Quadrilateral poly1Quadrilateral poly1: Polygon A, B, C, DQuadrilateral poly2Quadrilateral poly2: Polygon G, H, I, JQuadrilateral poly2_2Quadrilateral poly2_2: Polygon G_2, H_2, I_2, J_2Triangle poly3Triangle poly3: Polygon K, L, MQuadrilateral poly4Quadrilateral poly4: Polygon N, O, P, QCircle eCircle e: Circle through F with center ECircle eCircle e: Circle through F with center ECircle e_1Circle e_1: Circle through F_1 with center E_1Circle e_1Circle e_1: Circle through F_1 with center E_1Segment 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 gSegment g: Segment [G, H] of Quadrilateral poly2Segment hSegment h: Segment [H, I] of Quadrilateral poly2Segment iSegment i: Segment [I, J] of Quadrilateral poly2Segment jSegment j: Segment [J, G] of Quadrilateral poly2Segment g_2Segment g_2: Segment [G_2, H_2] of Quadrilateral poly2_2Segment h_2Segment h_2: Segment [H_2, I_2] of Quadrilateral poly2_2Segment i_2Segment i_2: Segment [I_2, J_2] of Quadrilateral poly2_2Segment j_2Segment j_2: Segment [J_2, G_2] of Quadrilateral poly2_2Segment mSegment m: Segment [K, L] of Triangle poly3Segment kSegment k: Segment [L, M] of Triangle poly3Segment lSegment l: Segment [M, K] of Triangle poly3Segment nSegment n: Segment [N, O] of Quadrilateral poly4Segment oSegment o: Segment [O, P] of Quadrilateral poly4Segment pSegment p: Segment [P, Q] of Quadrilateral poly4Segment qSegment q: Segment [Q, N] of Quadrilateral poly4

This Figure Shows Basic Geometry Shapes - Choice D

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