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
In the adjoining figure, BC = AC. If \(\angle \)ACD = \(115^\circ \), the \(\angle \)A is
Question 1 figure 1
  • A
    \(57.5^\circ \)
    Correct
  • B
    \(65^\circ \)
  • C
    \(70^\circ \)
  • D
    \(50^\circ \)
2
In the given figure, ABC is an equilateral triangle. The value of x+y is
Question 2 figure 1
  • A
    \(120^\circ \)
  • B
    \(200^\circ \)
  • C
    \(180^\circ \)
  • D
    \(240^\circ \)
    Correct
3
In the adjoining Figure, AB = AC and BD = CD. The ratio \(\angle \)ABD : \(\angle \)ACD is
Question 3 figure 1
  • A
    It is 2 : 1
  • B
    It is 1 : 1
    Correct
  • C
    It is 2 : 3
  • D
    It is 1 : 2
4
In the adjoining figure, AB\( \bot \)BE and FE\( \bot \)BE. If AB = FE and BC = DE ,then
Question 4 figure 1
  • A
    \(\triangle ABD \cong \triangle EFC\)
  • B
    \(\triangle ABD \cong \triangle ECF\)
  • C
    \(\triangle ABD \cong \triangle CEF\)
  • D
    \(\triangle ABD \cong \triangle FEC\)
    Correct
5
In the adjoining figure, ABCD is a quadrilateral in which BN and DM are drawn perpendiculars to AC such that BN = DM. If OB = 4 cm. then BD is
Question 5 figure 1
  • A
    12 cm
  • B
    6 cm
  • C
    8 cm
    Correct
  • D
    10 cm
6
The length of two sides of a triangle are 7 units and 10 units. Which of the following length can be the length of the third side?
  • A
    19 cm
  • B
    17 cm
  • C
    3 cm
  • D
    13 cm
    Correct
7
If a,b,c are the lengths of the sides of a triangle, then
  • A
    C > A + B
  • B
    C = A + B
  • C
    C < A + B
    Correct
  • D
    A – B > C
8
It is not possible to construct a triangle when the lengths of its sides are
  • A
    5.3cm, 2.2cm, 3.1cm
    Correct
  • B
    9.3cm, 5.2cm, 7.4cm
  • C
    6cm, 7cm, 8cm
  • D
    4cm, 6cm, 6cm
9
If triangle PQR is right angled at Q, then
  • A
    PR = PQ
  • B
    PR < PQ
  • C
    PR < QR
  • D
    PR > PQ
    Correct
10
If triangle ABC is obtuse angled and \(\angle \)C is obtuse, then
  • A
    AC > AB
  • B
    AB < BC
  • C
    AB = BC
  • D
    AB > BC
    Correct
11
In \(\triangle ABC\), if \(\angle \)B = \(30^\circ \) and \(\angle \)C = \(70^\circ \), then which of the following is the longest side?
  • A
    BC
    Correct
  • B
    AC
  • C
    AB or AC
  • D
    AB
12
In the adjoining figure, PQ > PR. If OQ and OR are bisectors of \(\angle \)Q and \(\angle \)R respectively, then
Question 12 figure 1
  • A
    OQ < OR
  • B
    OQ = OR
  • C
    OQ > OR
    Correct
  • D
    OQ \( \leq \) OR
13
In \(\triangle ABC\), if \(\angle \)A = \(45^\circ \) and \(\angle \)B = \(70^\circ \) , then the shortest and the longest sides of the triangle are respectively,
  • A
    AB,AC
  • B
    BC,AB
  • C
    BC,AC
    Correct
  • D
    AB,BC
14
In the adjoining figure, if AC = AD, then
Question 14 figure 1
  • A
    AB \( \leq \) AD
  • B
    AB = AD
  • C
    AB < AD
  • D
    AB > AD
    Correct
15
\(\angle x\) and \(\angle y\) are exterior angles of a triangle ABC at the points B and C res. Also, \(\angle B\)>\(\angle C\), then relation between \(\angle x\) and \(\angle y\) is:
  • A
    None of these
  • B
    \(\angle x\)<\(\angle y\)
    Correct
  • C
    \(\angle x\)>\(\angle y\)
  • D
    \(\angle x\)=\(\angle y\)