Geometry and Mensuration Worksheet-9

Geometry and Mensuration Worksheet-9

Which of the following always lies inside the triangle?

(a) Circumcentre (b) Incentre

Which of the following may lie outside or on the triangle?

(i) Circumcentre

(ii) Centroid

(iii) Orthocentre

(iv) Incentre

(a) (i), (ii) & (iii) (b) (i) and (ii)

In an isosceles triangle, the circumcentre, the orthocenter, the incentre and the centroid are

(a) Collinear (b) Coincide

In a right angled triangle, the circumradius is half the

(a) Perimeter (b) Hypotenuse

Which of the following statement is true?

(a) The centroid of an obtuse angled triangle lies in the interior of the triangle.

(b) Orthocentre of an obtuse angled triangle lies in the exterior of the triangle.

(d) All of these

The bisector of an angle of a triangle bisects the opposite sides in the ratio of

(a) Opposite sides (b) 2 : 1

The orthocenter of a triangle is the point where

(a) The medians meet

(b) The altitudes meet

(d) The bisectors of the angles of the triangle meet

The centroid of a triangle is the point where

(a) The medians meet

(b) The altitudes meet

(d) The bisectors of the angles of the triangle meet

The circumcentre of a triangle is the point where

(a) The medians meet

(b) The altitudes meet

(d) The bisectors of the angles of the triangle meet

The incentre of a triangle is the point where

(a) The medians meet

(b) The altitudes meet

(d) The bisectors of the angles of the triangle meet

The incentre of a triangle coincides with the circumcentre, orthocenter and centroid in case of

(a) An isosceles triangle

(b) An equilateral triangle

(d) A right angled isosceles triangle

Which of the following statement is true?

(a) If in a triangle, two angles are equal to 60º, then it is equilateral

(b) If the angles of a triangle are in the ratio 1 : 1 : 2 then it is a right angled isosceles triangle

(d) All of these

By which congruency property, the two triangles connected by the following figure are congruent.

(a) SAS property (b) SSS property

In ΔABC, AB = AC and AD is perpendicular to BC. State the property by which ΔADB ≅ ΔADC

(a) SAS property (b) SSS property

State the property by which ΔADB ≅ ΔADC if two sides and the included angle are equal in the two triangles.

(a) SAS property (b) SSS property

In ΔABC, AD⊥BC, ∠B = ∠C and AB = AC. State by which property ΔADB ≅ ΔADC ?

(a) SAS property (b) SSS property

If AB = AC and BD = DC then ∠ADC =

(a) 60º (b) 120º (c) 90º (d) None

If two Δ les have their corresponding angles equal, then they are always congruent.

(a) True (b) False

If A: Two Δles are said to be congruent if two sides and an angle of the one triangle are respectively equal to the two sides and an angle of the other and

R: two Δles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other then which of the following statement is correct

(a) A is false and R is the correct explanation of A

(b) A is true and R is the correct explanation of a A

(d) None of these

Which of the following statements is true?

(a) Two line segments having the same length are congruent

(b) Two squares having the same side length are congruent.

(d) All of these

Answer Key:

(1)-(b); (2)-(c); (3)-(a); (4)-(b); (5)-(d); (6)-(a); (7)-(b); (8)-(a); (9)-(c); (10)-(d); (11)-(b); (12)-(d); (13)-(b); (14)-(c); (15)-(a); (16)-(d); (17)-(c); (18)-(b); (19)-(a); (20)-(d)