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

Access detailed explanations (illustrated with images and videos) to 1022 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Subscription can be renewed yearly absolutely FREE! View Sample Explanation or View Features.

Rs. 450.00 or

How to register?

Question number: 657

» Triangle and Its Properties

Edit
Match List-Ⅰ List-Ⅱ▾

Question

Match the following.

List-Ⅰ List-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 poly1 Triangle poly1: Polygon X, Y, Z Arc d Arc d: Semicircle through E and F Arc e Arc e: Semicircle through G and H Segment c Segment c: Segment [X, Y] of Triangle poly1 Segment a Segment a: Segment [Y, Z] of Triangle poly1 Segment b Segment b: Segment [Z, X] of Triangle poly1 Segment f Segment f: Segment [S, T] Segment g Segment g: Segment [U, V] Vector u Vector u: Vector [A, B] Vector u Vector u: Vector [A, B] Vector u_1 Vector u_1: Vector [A_1, B_1] Vector u_1 Vector u_1: Vector [A_1, B_1] Vector v Vector v: Vector [C, D] Vector v Vector v: Vector [C, D] Vector v_1 Vector v_1: Vector [C_2, D_2] Vector v_1 Vector v_1: Vector [C_2, D_2] Point X X = (5.37,4.17) Point X X = (5.37,4.17) Point X X = (5.37,4.17) Point Y Y = (3.55,1.12) Point Y Y = (3.55,1.12) Point Y Y = (3.55,1.12) Point Z Z = (7.6,1.14) Point Z Z = (7.6,1.14) Point Z Z = (7.6,1.14) Point S Point S: Point on b Point S Point S: Point on b Point S Point S: Point on b Point T Point T: Point on a Point T Point T: Point on a Point T Point T: Point on a Point U Point U: Point on c Point U Point U: Point on c Point U Point U: Point on c Point V Point V: Point on a Point V Point V: Point on a Point V Point V: Point on a 46â° text1 = “46â°” 64â° text1_1 = “64â°”

Image of a Triangle XYZ Making Some Angles by Lines

Showing image of a triangle XYZ making some angles by lines in it, so find the angle XYZ

Choices

Choice (4) Response

a.

b.

c.

d.

All of the above