IMO- Mathematics Olympiad Class 7: Questions 608 - 610 of 965

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Question number: 608

» Triangle and Its Properties

MCQ▾

Question

ABC is an isosceles triangle with AB=AC and AD is altitude, then ________.

Choices

Choice (4) Response

a.

B>C

b.

B<C

c.

B=C

d.

None of the above

Question number: 609

» Triangle and Its Properties

MCQ▾

Question

XYZ is an isosceles triangle with YZ=XZ and XW is altitude, then ________.

Choices

Choice (4) Response

a.

X=Y

b.

Y>Z

c.

X=Z

d.

All of the above

Question number: 610

» Triangle and Its Properties

MCQ▾

Question

In the figure (not drawn to scale), ABCD is a rhombus, FHI is an equilateral triangle and CEFG is a trapezium with EC parallel to FG, DCFI, BCG and GFH are straight lines. Find x and y respectively.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, DTriangle poly2 Triangle poly2: Polygon C, E, FTriangle poly3 Triangle poly3: Polygon C, G, FTriangle poly4 Triangle poly4: Polygon F, H, IArc k Arc k: Semicircle through J and KArc p Arc p: Semicircle through L and MArc q Arc q: Semicircle through N and OSegment a Segment a: Segment [A, B] of Quadrilateral poly1Segment b Segment b: Segment [B, C] of Quadrilateral poly1Segment c Segment c: Segment [C, D] of Quadrilateral poly1Segment d Segment d: Segment [D, A] of Quadrilateral poly1Segment f Segment f: Segment [C, E] of Triangle poly2Segment c_1 Segment c_1: Segment [E, F] of Triangle poly2Segment e Segment e: Segment [F, C] of Triangle poly2Segment f_1 Segment f_1: Segment [C, G] of Triangle poly3Segment c_2 Segment c_2: Segment [G, F] of Triangle poly3Segment g Segment g: Segment [F, C] of Triangle poly3Segment i Segment i: Segment [F, H] of Triangle poly4Segment f_2 Segment f_2: Segment [H, I] of Triangle poly4Segment h Segment h: Segment [I, F] of Triangle poly4Vector u Vector u: Vector [P, Q] Vector u Vector u: Vector [P, Q] Vector u_1 Vector u_1: Vector [P_1, Q_1] Vector u_1 Vector u_1: Vector [P_1, Q_1] Point A A = (1.48, 2.08) Point A A = (1.48, 2.08) Point A A = (1.48, 2.08) Point B B = (5.12, 2.04) Point B B = (5.12, 2.04) Point B B = (5.12, 2.04) Point C C = (5.9, 4.66) Point C C = (5.9, 4.66) Point C C = (5.9, 4.66) Point D D = (2.44, 4.7) Point D D = (2.44, 4.7) Point D D = (2.44, 4.7) Point E E = (8.24, 2) Point E E = (8.24, 2) Point E E = (8.24, 2) Point F F = (8.28, 4.64) Point F F = (8.28, 4.64) Point F F = (8.28, 4.64) Point G G = (6.48, 6.64) Point G G = (6.48, 6.64) Point G G = (6.48, 6.64) Point H H = (9.88, 2.64) Point H H = (9.88, 2.64) Point H H = (9.88, 2.64) Point I I = (11, 4.64) Point I I = (11, 4.64) Point I I = (11, 4.64) x text1 = “x”y text1_1 = “y”72â° text1_2 = “72â°”

Image of a Rhombus, Triangle and Trapezium

Showing an image of a rhombus, triangle and trapezium, so find angles x and y

Choices

Choice (4) Response

a.

480,600

b.

660,580

c.

720,1200

d.

1000,460

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