TRIANGLES Test

TRIANGLES

This is TRIANGLES Test-02 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
In the given figure\(\Delta ABO \sim \Delta DCO.\;If\;CD\; = \;2\;cm,\) AB = 3 cm, OC = 3.2 cm, OD = 2.4 cm, then
Question 1 figure 1
  • A
    OA = 3 cm, OB = 4 cm.
  • B
    OA = 3.6 cm, OB = 4.8 cm.
    Correct
  • C
    OA = 3.2 cm, OB = 4.6 cm
  • D
    OA = 4.3 cm, OB = 3.5 cm.
2
In trapezium ABCD, if \(AB||DC,\) AB = 9 cm, DC = 6 cm and BD = 12 cm, then BO is equal to
Question 2 figure 1
  • A
    7 cm.
  • B
    7.4 cm.
  • C
    7.2 cm.
    Correct
  • D
    7.5 cm.
3
In the adjoining figure \(AC||{\rm B}D.\) If AC = 6 cm, AE = 3 cm, EB = 4 cm, ED = 8 cm, then CE and BD are respectively
Question 3 figure 1
  • A
    5 cm, 7 cm.
  • B
    7.5 cm, 9.5 cm.
  • C
    4 cm, 6 cm.
  • D
    6 cm, 8 cm.
    Correct
4
In the given figure, AP is equal to
Question 4 figure 1
  • A
    5 cm.
    Correct
  • B
    6 cm.
  • C
    7 cm.
  • D
    5.5 cm.
5
In the given figure if AT = AQ = 6, AS = 3, TS = 4, then
Question 5 figure 1
  • A
    x = 2, y = 3.
  • B
    x = 3, y = 4.
    Correct
  • C
    x = 4, y = 5.
  • D
    x = 1, y = 2.
6
In the adjoining figure\(\angle PQR\; = \;\angle PRS.\) If PR = 8cm, PS = 4 cm, then PQ is equal to
Question 6 figure 1
  • A
    32 cm.
  • B
    12 cm.
  • C
    24 cm.
  • D
    16 cm.
    Correct
7
In the given figure if \(\Delta AED \sim \Delta ABC,\)then DE is equal to
Question 7 figure 1
  • A
    5.5 cm.
  • B
    5.6 cm.
    Correct
  • C
    7.5 cm.
  • D
    6.5 cm.
8
\(\Delta PQR \sim \Delta XYZ\)and the perimeters of \(\Delta PQR\)and \(\Delta XYZ\)are 30 cm and 18 cm respectively. If QR = 9 cm, then, YZ is equal to
  • A
    9.5 cm.
  • B
    12.5 cm.
  • C
    5.4 cm.
    Correct
  • D
    4.5 cm.
9
If in two triangles ABC and PQR, \(\angle A = \angle Q\;and\;\angle R = \angle B,\)then which of the following is not true.
  • A
    \(\frac{{BC}}{{RP}} = \frac{{AB}}{{QR}}\)
  • B
    \(\frac{{AB}}{{PQ}} = \frac{{BC}}{{RP}}\)
    Correct
  • C
    \(\frac{{AB}}{{QR}} = \frac{{AC}}{{PQ}}\)
  • D
    \(\frac{{BC}}{{PR}} = \frac{{AC}}{{PQ}}\)
10
\(\Delta ABC \sim \Delta PQR.\) If PQ = 3 cm, QR = 2 cm and RP = 2.5 cm, BC = 4 cm, then perimeter of \(\Delta ABC\)is
  • A
    15 cm.
    Correct
  • B
    20 cm.
  • C
    12 cm.
  • D
    18 cm.
11
If \(\Delta ABC \sim \Delta PQR\) such that AB = 9.1 cm and PQ = 6.5 cm. If the perimeter of \(\Delta PQR\) is 25 cm, then the perimeter of \(\Delta ABC\)is
  • A
    36 cm.
  • B
    34 cm.
  • C
    35 cm.
    Correct
  • D
    30 cm.
12
If \((\Delta ABC) \sim \Delta DEF,ar(\Delta DEF) = 100\;c{m^2}\;and\;\frac{{AB}}{{DE}} = \frac{1}{2},\;then\;ar\;(\Delta ABC)\;\)is
  • A
    \(150\;c{m^2}.\)
  • B
    \(50\;c{m^2}\)
  • C
    \(25\;c{m^2}.\)
    Correct
  • D
    \(200\;c{m^2}\)
13
The areas of two similar triangles are \(121\;c{m^2}\;and\;64\;c{m^2}\)respectively. If the median of the first triangle is 12.1 cm, then the corresponding median of the other triangle is equal to
  • A
    8.1 cm.
  • B
    8.8 cm.
    Correct
  • C
    11 cm.
  • D
    11.1 cm.
14
In \(\Delta PQR,if\;\frac{{PQ}}{{PR}} = \frac{{QM}}{{MR}},\angle Q = {75^0}\;and\;\angle R = {45^0},\)Then the measure of \(\angle QPM\)is
Question 14 figure 1
  • A
    \({60^0}.\)
  • B
    \({22.5^0}.\)
  • C
    \({45^0}.\)
  • D
    \({30^0}\).
    Correct
15
In the adjoining figure if exterior \(\angle EAB = {110^0},\angle CAD = {35^0},AB = 5\;cm,\)\(AC = 7\;cm\)\(\;and\)\(BC = 3\;cm,\)then CD is equal to
Question 15 figure 1
  • A
    1.75 cm.
  • B
    1.9 cm.
    Correct
  • C
    2 cm.
  • D
    2.25 cm.