IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 580 - 582 of 1022

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Question number: 580

» Triangle and Its Properties

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MCQ▾

Question

Two chimneys 18 m and 13 m high stand upright on a ground. If their feet are 12 m apart, then the distance between their tops is ________.

Choices

Choice (4) Response

a.

5 m

b.

31 m

c.

13 m

d.

18 m

Question number: 581

» Triangle and Its Properties

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MCQ▾

Question

Which of the following statements is false?

Choices

Choice (4) Response

a.

If two sides and one angle of a triangle are equal to the corresponding two sides and the angle of another triangle, then the two triangles are congruent.

b.

Two triangles having same area are congruent.

c.

In the hypotenuse of one right triangle is equal to the hypotenuse of another triangle, then the triangles are congruent.

d.

All a. , b. and c. are correct

Question number: 582

» Triangle and Its Properties

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MCQ▾

Question

In the figure (not drawn to scale), ADF and BEF are triangles and EC = ED, find x.

Triangle poly1 Triangle poly1: Polygon B, F, E Arc d Arc d: Semicircle through G and H Arc e Arc e: Semicircle through I and J Arc k Arc k: Semicircle through K and L Segment c Segment c: Segment [B, F] of Triangle poly1 Segment a Segment a: Segment [F, E] of Triangle poly1 Segment b Segment b: Segment [E, B] of Triangle poly1 Segment f Segment f: Segment [A, C] Segment g Segment g: Segment [C, D] Segment h Segment h: Segment [D, E] Segment i Segment i: Segment [M, N] Segment j Segment j: Segment [O, P] Point B B = (3.08,4.82) Point B B = (3.08,4.82) Point B B = (3.08,4.82) Point F F = (1.12,1.58) Point F F = (1.12,1.58) Point F F = (1.12,1.58) Point E E = (5.24,1.58) Point E E = (5.24,1.58) Point E E = (5.24,1.58) Point A Point A: Point on c Point A Point A: Point on c Point A Point A: Point on c Point C Point C: Point on b Point C Point C: Point on b Point C Point C: Point on b Point D D = (9.7,1.58) Point D D = (9.7,1.58) Point D D = (9.7,1.58) 48â° text1 = “48â°” 32â° text1_1 = “32â°” x text1_2 = “x”

Image of Two Triangles ADF and BEF

Showing an image of two triangles BEF and ADF, so find x

Choices

Choice (4) Response

a.

b.

c.

d.