TRIANGLES Test

TRIANGLES

This is TRIANGLES Test-03 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Out of the following statements (i) All similar polygons are congruent. (ii) Two triangles are similar if their corresponding sides are proportional. (iii) Two figures are congruent but not similar if they have same shape and size. (iv) All similar triangles are congruent. The correct statement is
  • A
    (i)
  • B
    (iii)
  • C
    (iv)
  • D
    (ii)
    Correct
2
In the given figure, if PQ = 24 cm, QR = 26 cm, \(\angle PAR = {90^0},PA = 6\;cm\;and\;AR\; = \;8\;cm,\;then\;\angle QPR\;is\)
Question 2 figure 1
  • A
    \({45^0}.\)
  • B
    \({30^0}.\)
  • C
    \({60^0}.\)
  • D
    \({90^0}.\)
    Correct
3
In the given figure, \(AB||DE\) and \(BD||EF.\)Then,
Question 3 figure 1
  • A
    \(A{C^2} = BC\;.\;DC.\)
  • B
    \(A{B^2} = AC\;.\;DE.\)
  • C
    \(B{C^2} = AB\;.\;CE.\)
  • D
    \(D{C^2} = CF \times AC.\)
    Correct
4
In an equilateral triangle ABC, if \(AD \bot BC,\)then
  • A
    \(4A{B^2} = 3A{D^2}.\)
  • B
    \(3A{B^2} = 4A{D^2}.\)
    Correct
  • C
    \(5A{B^2} = 4A{D^2}.\)
  • D
    \(2A{B^2} = 3A{D^2}.\)
5
If \(\Delta ABC \sim \Delta DEF\)and \(EF = \frac{1}{3}BC,\)then ar\((\Delta ABC)\):\((\Delta DEF)\)is
  • A
    1 : 9.
    Correct
  • B
    9 : 1.
  • C
    1 : 3.
  • D
    3 : 1.
6
In the given figure if \(PQ||BC\) and \(\frac{{AP}}{{PB}} = \frac{3}{2},\;then\;\frac{{ar(\Delta POQ)}}{{ar(\Delta COB)}}is\)
Question 6 figure 1
  • A
    \(\frac{9}{{25}}.\)
  • B
    \(\frac{4}{9}.\)
  • C
    \(\frac{{25}}{9}.\)
  • D
    \(\frac{9}{4}.\)
    Correct
7
\(\Delta ABC \sim \Delta DEF,ar(\Delta ABC) = 9\;c{m^2},\;ar(\Delta DEF) = 16\;c{m^2}.\)If BC = 2.1 cm, then the measure of EF is
  • A
    4.1 cm.
  • B
    4.2 cm.
  • C
    2.5 cm.
  • D
    2.8 cm.
    Correct
8
$\Delta ABC \sim \Delta DEF,If\;BC\; = \;3\;cm,\;EF\;$$ = \;4\;cm,ar(\Delta ABC)$$ = 54\;c{m^2},then\;ar(\Delta DEF)\;is\;equal\;to$
  • A
    \(48\;c{m^2}\)
  • B
    \(100\;c{m^2}\)
  • C
    \(96\;c{m^2}\)
    Correct
  • D
    \(108\;c{m^2}\)
9
The areas of two similar triangles are \(100\;c{m^2}\;and\;49\;c{m^2}.\)If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal to
  • A
    5.4 cm.
  • B
    3.5 cm.
    Correct
  • C
    4.5 cm.
  • D
    3.9 cm.
10
‘Viruses are non-cellular organisms is a
  • A
    True statement
    Correct
  • B
    Partially true
  • C
    False statement
  • D
    Partially false
11
\(\Delta ABC \sim \Delta PQR.ar(\Delta ABC) = 4\;ar\;(\Delta PQR).If\;BC = 12\;cm,\;then\;QR\;is\)
  • A
    8 cm.
  • B
    10 cm.
  • C
    6 cm.
    Correct
  • D
    9 cm.
12
In the given figure if \(DE||BC\), and AD : DB = 2 : 3, then \(ar(\Delta ADE):ar(\Delta ABC)\)is equal to
Question 12 figure 1
  • A
    4 : 25.
    Correct
  • B
    4 : 9.
  • C
    9 : 4.
  • D
    25 : 4.
13
In the given figure, if\(\frac{{ar(\Delta ALM)}}{{ar(trapezium\;LMCB)}} = \frac{9}{{16}},\)Then AL : LB is equal to
Question 13 figure 1
  • A
    4 : 1
    Correct
  • B
    3 : 4.
  • C
    3 : 5.
  • D
    2 : 3.
14
In \(\Delta ABC,\;AD\) is the bisector of \(\angle A.\)What is the ratio \(\frac{{ar(\Delta ABD)}}{{ar(\Delta ACD)}}\)in terms of AB and AC.
  • A
    \(\frac{{A{B^2}}}{{A{C^2}}}.\)
    Correct
  • B
    \(\frac{{AC}}{{AB}}.\)
  • C
    \(\frac{{AC + AB}}{{AC}}.\)
  • D
    \(\frac{{AB + AC}}{{AB}}.\)
15
ABCDis a trapezium in which \(AB||DC\;and\;AB = 2DC.\) Diagonals AC and BD intersect at O. If \(ar(\Delta AOB) = 84\;c{m^2},\)then \(ar(\Delta COD)\)is equal to
  • A
    \(21\;c{m^2}.\)
    Correct
  • B
    \(28\;c{m^2}.\)
  • C
    \(42\;c{m^2}.\)
  • D
    \(24\;c{m^2}.\)