Triangles CBSE Questions & Answers

Triangles

This is Mathematics Class 09 Triangles CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
\(\triangle PQR\), \(\angle P = 60^\circ \), \(\angle Q = 50^\circ \) and Which side of the triangle is the longest?
  • A
    PQ
    Correct
  • B
    QR
  • C
    PR
  • D
    None.
2
\(\triangle PQR\), \(\angle P = 60^\circ \), \(\angle Q = 50^\circ \) and Which side of the triangle is the longest?
  • A
    PR
  • B
    QR
  • C
    None.
  • D
    PQ
    Correct
3
In the given figure, the ratio is:
Question 3 figure 1
  • A
    it is 2:1
  • B
    it is 3:1
  • C
    it is 1:1
    Correct
  • D
    it is 1:2
4
In \(\triangle ABC\), \(\angle A\) = \(50^\circ \), \(\angle B = 60^\circ \), arranging the Side of the triangle in ascending order, we get:
  • A
    AB<BC<CA
  • B
    BC<CA<AB
    Correct
  • C
    BC<AC<CA
  • D
    CA<AB<BC
5
In \(\triangle AOC\) and \(\triangle XYZ\), \(\angle A = \angle X\), AO = YZ, AC = XY, then by which congruence rule \(\triangle AOC \cong \triangle XYZ\)
  • A
    SSS
  • B
    RHS.
  • C
    SAS
    Correct
  • D
    ASA
6
It is not possible to construct a triangle when its sides are:
  • A
    8.3 cm, 3.4 cm, 6.1 cm
  • B
    3 cm, 5 cm, 5 cm
  • C
    5.4 cm, 2.3 cm, 3.1 cm
    Correct
  • D
    6 cm, 7 cm, 70 cm
7
\(\triangle ABC\) = \(\triangle PQR\), then which of the following is true?
  • A
    AB = RP
  • B
    CA = RP
    Correct
  • C
    AC = RQ
  • D
    CB = QP
8
In figure, ABCD is a quadrilateral in which AB=BC and AD=DC. Measure of \(\angle BCD\)is:
Question 8 figure 1
  • A
    30\(^\circ \)
  • B
    150\(^\circ \)
  • C
    105\(^\circ \)
    Correct
  • D
    72\(^\circ \)
9
D is a Point on the Side BC of a \(\triangle ABC\) such that AD bisects \(\angle BAC\) then:
  • A
    CD>CA
  • B
    BD = CD
  • C
    BD>BA
  • D
    BA>BD
    Correct
10
In right triangle DEF if \(\angle E = 90^\circ \), then:
  • A
    DF is the shortest side
  • B
    DF is the longest side
    Correct
  • C
    DE is the longest side
  • D
    EF is the longest side
11
Given \(\triangle OAP \cong \triangle OBP\) in figure, the criteria by which the triangle are congruent.
  • A
    ASA
  • B
    SAS
    Correct
  • C
    SSS
  • D
    RHS
12
In figure, in \(\triangle ABC\), AB=AC, the value of x is
  • A
    130\(^\circ \)
    Correct
  • B
    80\(^\circ \)
  • C
    120\(^\circ \)
  • D
    100\(^\circ \)
13
In figure ,if OA=OB,O=OC then \(\triangle AOD \cong \triangle BOC\) by congruent
  • A
    SAS
    Correct
  • B
    ASA
  • C
    RHS.
  • D
    SSS
14
In figure ,if AB=AC a AP=AQ, then by which congruence criterion \(\triangle PBC \cong \triangle QCB\) ?
  • A
    SSS
  • B
    RHS.
  • C
    ASA
  • D
    SAS
    Correct
15
In an isosceles \(\triangle ABC\),AB=AC an side BA is produced to D such that AB=AD. Then the measure of \(\angle BCD\) is
  • A
    70\(^\circ \)
  • B
    None
  • C
    60\(^\circ \)
  • D
    90\(^\circ \)
    Correct