IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 669 - 671 of 1022

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Question number: 669

» Triangle and Its Properties

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MCQ▾

Question

In the given figure, and , then

Segment f Segment f: Segment [A, B] Segment g Segment g: Segment [B, Q] Segment h Segment h: Segment [A, P] Segment i Segment i: Segment [P, Q] Segment j Segment j: Segment [C, D] Segment k Segment k: Segment [D, E] Segment j_1 Segment j_1: Segment [C_1, D_1] Segment k_1 Segment k_1: Segment [D_2, E_1] Point A A = (2.56,4.9) Point A A = (2.56,4.9) Point A A = (2.56,4.9) Point B B = (8.82,4.9) Point B B = (8.82,4.9) Point B B = (8.82,4.9) Point Q Q = (8.82,3.74) Point Q Q = (8.82,3.74) Point Q Q = (8.82,3.74) Point P P = (2.56,6.22) Point P P = (2.56,6.22) Point P P = (2.56,6.22) Point O Point O: Intersection point of f, i Point O Point O: Intersection point of f, i Point O Point O: Intersection point of f, i

Image of Two Triangles OAP and OBQ

Showing an image of two triangles OAP and OBQ.

Choices

Choice (4) Response

a.

PA = OB

b.

OP = BQ

c.

AP = QB

d.

OA = OQ

Question number: 670

» Triangle and Its Properties

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MCQ▾

Question

If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 , then the length of each leg is ________.

Choices

Choice (4) Response

a.

cm

b.

cm

c.

cm

d.

10 cm

Question number: 671

» Triangle and Its Properties

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MCQ▾

Question

In the figure (not drawn to scale), ABC is an equilateral triangle and DAB is an isosceles triangle with DA = DB, find y.

Triangle poly1 Triangle poly1: Polygon C, A, B Arc d Arc d: Semicircle through E and F Arc e Arc e: Semicircle through J and K Segment c Segment c: Segment [C, A] of Triangle poly1 Segment a Segment a: Segment [A, B] of Triangle poly1 Segment b Segment b: Segment [B, C] of Triangle poly1 Segment f Segment f: Segment [A_1, C_1] Segment g Segment g: Segment [D_1, G] Segment h Segment h: Segment [H, I] Segment i Segment i: Segment [A, D] Segment j Segment j: Segment [D, B] Segment g_1 Segment g_1: Segment [D_2, G_1] Segment g_2 Segment g_2: Segment [D_3, G_2] Segment f_1 Segment f_1: Segment [A_2, C_2] Segment f_2 Segment f_2: Segment [A_3, C_3] Point C C = (3.08,4.82) Point C C = (3.08,4.82) Point C C = (3.08,4.82) Point A A = (1.12,1.58) Point A A = (1.12,1.58) Point A A = (1.12,1.58) Point B B = (5.24,1.58) Point B B = (5.24,1.58) Point B B = (5.24,1.58) Point D D = (3.14,3.36) Point D D = (3.14,3.36) Point D D = (3.14,3.36) 102â° text1 = “102â°” y text1_1 = “y”

Image of a Triangle ABC Having Another Triangle DAB in It

Showing an image of a triangle ABC having another triangle DAB in it

Choices

Choice (4) Response

a.

b.

c.

d.