IMO- Mathematics Olympiad (SOF) Class 7: Questions 581 - 582 of 1012

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Question number: 581

» Triangle and Its Properties

MCQ▾

Question

Which of the following statements is false?

Choices

Choice (4) Response

a.

Two triangles having same area are congruent.

b.

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.

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

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, EArc d Arc d: Semicircle through G and HArc e Arc e: Semicircle through I and JArc k Arc k: Semicircle through K and LSegment c Segment c: Segment [B, F] of Triangle poly1Segment a Segment a: Segment [F, E] of Triangle poly1Segment b Segment b: Segment [E, B] of Triangle poly1Segment 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 cPoint A Point A: Point on cPoint A Point A: Point on cPoint C Point C: Point on bPoint C Point C: Point on bPoint C Point C: Point on bPoint 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.

f Page