IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 657 - 659 of 1022

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Question number: 657

» Triangle and Its Properties

Edit
Match List-Ⅰ List-Ⅱ▾

Question

Match the following.

List-ⅠList-Ⅱ

(A)

Circumcenter

(i)

The point at which the three angle bisectors of a triangle meet

(B)

Incenter

(ii)

The point at which the medians of a triangle meet

(C)

Orthocenter

(iii)

The point of intersection of the perpendicular bisector of the sides of a triangle

(D)

Centroid

(iv)

The point at which the altitudes of a triangle meet

Choices

Choice (4)Response
  • (A)
  • (B)
  • (C)
  • (D)

a.

  • (i)
  • (iii)
  • (iv)
  • (ii)

b.

  • (iv)
  • (i)
  • (ii)
  • (iii)

c.

  • (ii)
  • (iii)
  • (iv)
  • (i)

d.

  • (iii)
  • (i)
  • (iv)
  • (ii)

Question number: 658

» Triangle and Its Properties

Edit
MCQ▾

Question

The three angles of a triangle are in the ratio 1: 2: 1, then the greatest angle is ________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 659

» Practical Geometry - Lines and Angles

Edit
MCQ▾

Question

The figure below is not drawn to scale. Find .

Triangle poly1Triangle poly1: Polygon X, Y, ZArc dArc d: Semicircle through E and FArc eArc e: Semicircle through G and HSegment cSegment c: Segment [X, Y] of Triangle poly1Segment aSegment a: Segment [Y, Z] of Triangle poly1Segment bSegment b: Segment [Z, X] of Triangle poly1Segment fSegment f: Segment [S, T] Segment gSegment g: Segment [U, V] Vector uVector u: Vector [A, B] Vector uVector u: Vector [A, B] Vector u_1Vector u_1: Vector [A_1, B_1] Vector u_1Vector u_1: Vector [A_1, B_1] Vector vVector v: Vector [C, D] Vector vVector v: Vector [C, D] Vector v_1Vector v_1: Vector [C_2, D_2] Vector v_1Vector v_1: Vector [C_2, D_2] Point XX = (5.37,4.17) Point XX = (5.37,4.17) Point XX = (5.37,4.17) Point YY = (3.55,1.12) Point YY = (3.55,1.12) Point YY = (3.55,1.12) Point ZZ = (7.6,1.14) Point ZZ = (7.6,1.14) Point ZZ = (7.6,1.14) Point SPoint S: Point on bPoint SPoint S: Point on bPoint SPoint S: Point on bPoint TPoint T: Point on aPoint TPoint T: Point on aPoint TPoint T: Point on aPoint UPoint U: Point on cPoint UPoint U: Point on cPoint UPoint U: Point on cPoint VPoint V: Point on aPoint VPoint V: Point on aPoint VPoint V: Point on a46â°text1 = “46â°”64â°text1_1 = “64â°”

Image of a Triangle XYZ Making Some Angles by Lines

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

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