SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Similar Triangles
Question 1
1.
In the given figure, △BCD is an acute angled triangle and BE ⟂ CD. Then
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • +
      • 2
      • BC
      • .
      • CD
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • −
      • 2
      • CD
      • .
      • CE
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • −
      • 2
      • BC
      • .
      • CD
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • −
      • BE
        2
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • +
      • 2
      • CD
      • .
      • CE
Question 2
2.
In the given figure, ∠LIJ = ∠KIL and IL ∥ MK and IJ = 17 cm, JL = 8 cm and LK = 9 cm. Find IM
  • 20.12 cm
  • 21.12 cm
  • 17.12 cm
  • 18.12 cm
  • 19.12 cm
Question 3
3.
Which of the following are true?
a)
Similarity is transitive.
b)
Similarity is symmetric.
c)
Similarity is anti symmetric.
d)
Similarity is reflexive.
  • {c,a,b}
  • {c,b}
  • {c,d}
  • {c,a}
  • {a,b,d}
Question 4
4.
Identify the property by which the two given triangles are similar
  • SSS Similarity
  • SAS Similarity
  • AAA Similarity
  • not similar
Question 5
5.
A ladder reaches a window which is 8 m above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 14 m high. Find the width of the street if the length of the ladder is 20 m
  • 32.61 m
  • 31.61 m
  • 33.61 m
  • 34.61 m
  • 30.61 m
Question 6
6.
In the given figure,  △IJK, IL ⟂ JK. Which of the following are true?
a)
    • IJ
      2
    • +
    • IK
      2
    • =
    • JL
      2
    • +
    • KL
      2
b)
    • IJ
      2
    • −
    • IK
      2
    • =
    • JL
      2
    • −
    • KL
      2
c)
    • IJ
      2
    • −
    • JL
      2
    • =
    • IK
      2
    • −
    • KL
      2
d)
    • IJ
      2
    • +
    • JL
      2
    • =
    • IK
      2
    • +
    • KL
      2
e)
    • IL
      2
    • =
    • 2
    • JL
    • .
    • KL
  • {e,a,b}
  • {d,c,b}
  • {a,b}
  • {b,c}
  • {d,c}
Question 7
7.
    • In the given figure, △EFG and △QRS are such that
    • ∠F
    • =
    • ∠R
    •  
    • and
    •  
    • ∠G
    • =
    • ∠S
    • .
    • Identify the property by which the two triangles are similar
  • SSS Similarity
  • AAA Similarity
  • SAS Similarity
  • not similar
Question 8
8.
    • In the given figure, △BCD ∼ △PQR and BC = 14 cm, PQ = 19.6 cm.
    • If the area of the
    • △PQR
    • =
    • 173.78 sq.cm
    • , find the area of the
    • △BCD
  • 90.66 sq.cm
  • 88.66 sq.cm
  • 89.66 sq.cm
  • 86.66 sq.cm
  • 87.66 sq.cm
Question 9
9.
Two poles of heights 6 m and 18 m stand vertically on a plane ground. If the distance between their feet is 11 m, find the distance between their tops
  • 17.28 m
  • 18.28 m
  • 14.28 m
  • 15.28 m
  • 16.28 m
Question 10
10.
In the given figure, ∠DBC = 46.75°, find the value of y =
  • 43.25°
  • 44.25°
  • 41.25°
  • 45.25°
  • 42.25°