ICSE Board Practice

ICSE Grade VIII - Triangles
Question 1
1.
In the given figure, OP ∥ QR, ∠DAP = 58° and AB = CA. Find the measure of x.
  • x
    =
    63°
  • x
    =
    64°
  • x
    =
    65°
  • x
    =
    62°
  • x
    =
    66°
Question 2
2.
With the data in the given figure, △JEF ≅ △IFE by which property?
  • ASA Congruency
  • SSS Congruency
  • SAS Congruency
  • not congruent
  • RHS Congruency
Question 3
3.
Find the unknown marked angles in the following figure
  • x
    =
    110°
    ,
    y
    =
    110°
  • x
    =
    111°
    ,
    y
    =
    111°
  • x
    =
    112°
    ,
    y
    =
    112°
  • x
    =
    113°
    ,
    y
    =
    113°
  • x
    =
    109°
    ,
    y
    =
    109°
Question 4
4.
    • The point of intersection of the perpendicular bisectors of the sides of a triangle is called
  • excentre
  • circumcentre
  • orthocentre
  • incentre
  • centroid
Question 5
5.
With the data in the figure, △GJH ≅ △IJH by which property?
  • ASA Congruency
  • SSS Congruency
  • SAS Congruency
  • not congruent
  • RHS Congruency
Question 6
6.
Find the unknown marked angles in the following figure
  • x
    =
    86°
    ,
    y
    =
    111°
  • x
    =
    88°
    ,
    y
    =
    113°
  • x
    =
    87°
    ,
    y
    =
    112°
  • x
    =
    85°
    ,
    y
    =
    110°
  • x
    =
    84°
    ,
    y
    =
    109°
Question 7
7.
In  △BCD, if ∠B = 70° and ∠C = ∠D, find the measure of each of the equal angles of the triangle
  • 53°
  • 54°
  • 56°
  • 57°
  • 55°
Question 8
8.
With the data in the given figure, △QCD ≅ △RDC by which property?
  • ASA Congruency
  • SAS Congruency
  • RHS Congruency
  • not congruent
  • SSS Congruency
Question 9
9.
Find the angles of the triangle
  • A
    =
    60°
    ,
    B
    =
    43°
    ,
    C
    =
    77°
  • A
    =
    62°
    ,
    B
    =
    45°
    ,
    C
    =
    73°
  • A
    =
    60°
    ,
    B
    =
    45°
    ,
    C
    =
    75°
  • A
    =
    58°
    ,
    B
    =
    45°
    ,
    C
    =
    77°
  • A
    =
    58°
    ,
    B
    =
    47°
    ,
    C
    =
    75°
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • GH = 13 cm , HI = 14 cm , IG = 13 cm
  • GH = 10 cm , HI = 10 cm , IG = 10 cm
  • GH = 14 cm , HI = 11 cm , IG = 14 cm
  • GH = 15 cm , HI = 13 cm , IG = 10 cm
  • GH = 10 cm , HI = 10 cm , IG = 14.14 cm