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 poly1Triangle poly1: Polygon B, F, EArc dArc d: Semicircle through G and HArc eArc e: Semicircle through I and JArc kArc k: Semicircle through K and LSegment cSegment c: Segment [B, F] of Triangle poly1Segment aSegment a: Segment [F, E] of Triangle poly1Segment bSegment b: Segment [E, B] of Triangle poly1Segment fSegment f: Segment [A, C] Segment gSegment g: Segment [C, D] Segment hSegment h: Segment [D, E] Segment iSegment i: Segment [M, N] Segment jSegment j: Segment [O, P] Point BB = (3.08,4.82) Point BB = (3.08,4.82) Point BB = (3.08,4.82) Point FF = (1.12,1.58) Point FF = (1.12,1.58) Point FF = (1.12,1.58) Point EE = (5.24,1.58) Point EE = (5.24,1.58) Point EE = (5.24,1.58) Point APoint A: Point on cPoint APoint A: Point on cPoint APoint A: Point on cPoint CPoint C: Point on bPoint CPoint C: Point on bPoint CPoint C: Point on bPoint DD = (9.7,1.58) Point DD = (9.7,1.58) Point DD = (9.7,1.58) 48â°text1 = “48â°”32â°text1_1 = “32â°”xtext1_2 = “x”

Image of Two Triangles ADF and BEF

Choices

Choice (4)Response

a.

b.

c.

d.

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