NSTSE (National Science Talent Search Exam- Unified Council) Class 4: Questions 1182 - 1182 of 1971

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Question number: 1182

» Mathematics » Geometry

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Question

Which of the following figures contains exactly four triangles?

Choices

Choice (4) Response

a.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Triangle poly2 Triangle poly2: Polygon E, F, G Quadrilateral poly3 Quadrilateral poly3: Polygon H, I, J, K Quadrilateral poly3_1 Quadrilateral poly3_1: Polygon H_1, I_1, J_1, K_1 Triangle poly4 Triangle poly4: Polygon N, O, P Quadrilateral poly3_2 Quadrilateral poly3_2: Polygon H_2, I_2, J_2, K_2 Circle p Circle p: Circle through M with center L Circle p Circle p: Circle through M with center L Circle p_1 Circle p_1: Circle through M_1 with center L_1 Circle p_1 Circle p_1: Circle through M_1 with center L_1 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 Segment g Segment g: Segment [E, F] of Triangle poly2 Segment e Segment e: Segment [F, G] of Triangle poly2 Segment f Segment f: Segment [G, E] of Triangle poly2 Segment h Segment h: Segment [H, I] of Quadrilateral poly3 Segment i Segment i: Segment [I, J] of Quadrilateral poly3 Segment j Segment j: Segment [J, K] of Quadrilateral poly3 Segment k Segment k: Segment [K, H] of Quadrilateral poly3 Segment h_1 Segment h_1: Segment [H_1, I_1] of Quadrilateral poly3_1 Segment i_1 Segment i_1: Segment [I_1, J_1] of Quadrilateral poly3_1 Segment j_1 Segment j_1: Segment [J_1, K_1] of Quadrilateral poly3_1 Segment k_1 Segment k_1: Segment [K_1, H_1] of Quadrilateral poly3_1 Segment p_2 Segment p_2: Segment [N, O] of Triangle poly4 Segment n Segment n: Segment [O, P] of Triangle poly4 Segment o Segment o: Segment [P, N] of Triangle poly4 Segment h_2 Segment h_2: Segment [H_2, I_2] of Quadrilateral poly3_2 Segment i_2 Segment i_2: Segment [I_2, J_2] of Quadrilateral poly3_2 Segment j_2 Segment j_2: Segment [J_2, K_2] of Quadrilateral poly3_2 Segment k_2 Segment k_2: Segment [K_2, H_2] of Quadrilateral poly3_2

This Image Shows the Basic Shapes – Choice A

In this figure shows the shapes

b.

Quadrilateral poly1 Quadrilateral poly1: Polygon C, D, E, F Quadrilateral poly2 Quadrilateral poly2: Polygon G, H, I, J Quadrilateral poly2_1 Quadrilateral poly2_1: Polygon G_1, H_1, I_1, J_1 Triangle poly3 Triangle poly3: Polygon M, N, O Quadrilateral poly4 Quadrilateral poly4: Polygon P, Q, R, S Circle c Circle c: Circle through B with center A Circle c Circle c: Circle through B with center A Circle k Circle k: Circle through L with center K Circle k Circle k: Circle through L with center K Circle k_1 Circle k_1: Circle through L_1 with center K_1 Circle k_1 Circle k_1: Circle through L_1 with center K_1 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 g_1 Segment g_1: Segment [G_1, H_1] of Quadrilateral poly2_1 Segment h_1 Segment h_1: Segment [H_1, I_1] of Quadrilateral poly2_1 Segment i_1 Segment i_1: Segment [I_1, J_1] of Quadrilateral poly2_1 Segment j_1 Segment j_1: Segment [J_1, G_1] of Quadrilateral poly2_1 Segment o Segment o: Segment [M, N] of Triangle poly3 Segment m Segment m: Segment [N, O] of Triangle poly3 Segment n Segment n: Segment [O, M] of Triangle poly3 Segment p Segment p: Segment [P, Q] of Quadrilateral poly4 Segment q Segment q: Segment [Q, R] of Quadrilateral poly4 Segment r Segment r: Segment [R, S] of Quadrilateral poly4 Segment s Segment s: Segment [S, P] of Quadrilateral poly4

This Image Shows the Basic Shapes – Choice B

In this figure shows the shapes

c.

Triangle poly1 Triangle poly1: Polygon A, B, C Triangle poly2 Triangle poly2: Polygon D, E, F Triangle poly2_1 Triangle poly2_1: Polygon D_1, E_1, F_1 Triangle poly2_2 Triangle poly2_2: Polygon D_2, E_2, F_2 Quadrilateral poly3 Quadrilateral poly3: Polygon I, J, K, L Quadrilateral poly3_1 Quadrilateral poly3_1: Polygon I_1, J_1, K_1, L_1 Quadrilateral poly3_2 Quadrilateral poly3_2: Polygon I_2, J_2, K_2, L_2 Circle g Circle g: Circle through H with center G Circle g Circle g: Circle through H with center G 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 Segment f Segment f: Segment [D, E] of Triangle poly2 Segment d Segment d: Segment [E, F] of Triangle poly2 Segment e Segment e: Segment [F, D] of Triangle poly2 Segment f_1 Segment f_1: Segment [D_1, E_1] of Triangle poly2_1 Segment d_1 Segment d_1: Segment [E_1, F_1] of Triangle poly2_1 Segment e_1 Segment e_1: Segment [F_1, D_1] of Triangle poly2_1 Segment f_2 Segment f_2: Segment [D_2, E_2] of Triangle poly2_2 Segment d_2 Segment d_2: Segment [E_2, F_2] of Triangle poly2_2 Segment e_2 Segment e_2: Segment [F_2, D_2] of Triangle poly2_2 Segment i Segment i: Segment [I, J] of Quadrilateral poly3 Segment j Segment j: Segment [J, K] of Quadrilateral poly3 Segment k Segment k: Segment [K, L] of Quadrilateral poly3 Segment l Segment l: Segment [L, I] of Quadrilateral poly3 Segment i_1 Segment i_1: Segment [I_1, J_1] of Quadrilateral poly3_1 Segment j_1 Segment j_1: Segment [J_1, K_1] of Quadrilateral poly3_1 Segment k_1 Segment k_1: Segment [K_1, L_1] of Quadrilateral poly3_1 Segment l_1 Segment l_1: Segment [L_1, I_1] of Quadrilateral poly3_1 Segment i_2 Segment i_2: Segment [I_2, J_2] of Quadrilateral poly3_2 Segment j_2 Segment j_2: Segment [J_2, K_2] of Quadrilateral poly3_2 Segment k_2 Segment k_2: Segment [K_2, L_2] of Quadrilateral poly3_2 Segment l_2 Segment l_2: Segment [L_2, I_2] of Quadrilateral poly3_2

This Image Shows the Basic Shapes – Choice C

In this figure shows the shapes

d.

Triangle poly1 Triangle poly1: Polygon A, B, C Quadrilateral poly2 Quadrilateral poly2: Polygon D, E, F, G Quadrilateral poly3 Quadrilateral poly3: Polygon J, K, L, M Quadrilateral poly3_1 Quadrilateral poly3_1: Polygon J_1, K_1, L_1, M_1 Triangle poly4 Triangle poly4: Polygon N, O, P Quadrilateral poly5 Quadrilateral poly5: Polygon Q, R, S, T Circle h Circle h: Circle through I with center H Circle h Circle h: Circle through I with center H Circle h_1 Circle h_1: Circle through I_1 with center H_1 Circle h_1 Circle h_1: Circle through I_1 with center H_1 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 Segment d Segment d: Segment [D, E] of Quadrilateral poly2 Segment e Segment e: Segment [E, F] of Quadrilateral poly2 Segment f Segment f: Segment [F, G] of Quadrilateral poly2 Segment g Segment g: Segment [G, D] of Quadrilateral poly2 Segment j Segment j: Segment [J, K] of Quadrilateral poly3 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, J] of Quadrilateral poly3 Segment j_1 Segment j_1: Segment [J_1, K_1] of Quadrilateral poly3_1 Segment k_1 Segment k_1: Segment [K_1, L_1] of Quadrilateral poly3_1 Segment l_1 Segment l_1: Segment [L_1, M_1] of Quadrilateral poly3_1 Segment m_1 Segment m_1: Segment [M_1, J_1] of Quadrilateral poly3_1 Segment p Segment p: Segment [N, O] of Triangle poly4 Segment n Segment n: Segment [O, P] of Triangle poly4 Segment o Segment o: Segment [P, N] of Triangle poly4 Segment q Segment q: Segment [Q, R] of Quadrilateral poly5 Segment r Segment r: Segment [R, S] of Quadrilateral poly5 Segment s Segment s: Segment [S, T] of Quadrilateral poly5 Segment t Segment t: Segment [T, Q] of Quadrilateral poly5

This Image Shows the Basic Shapes – Choice D

In this figure shows the shapes

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