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
If the bisector of the angle A of a \(\triangle ABC\) is perpendicular to the base BC of the triangle then the triangle ABC is :
  • A
    Equilateral
  • B
    Scalene
  • C
    Isosceles
    Correct
  • D
    Obtuse Angled
2
In quadrilateral ABCD, BM and DN are drawn perpendiculars to AC such that BM = DN. If BR = 8 cm. then BD is
Question 2 figure 1
  • A
    4cm
  • B
    12cm
  • C
    2cm
  • D
    16 cm
    Correct
3
In \(\triangle ABC\) and \(\triangle PQR\), three equality relations between corresponding parts are as follows: AB = QP, \(\angle B\) = \(\angle P\), BC = PR. State which of the congruence criterion applies in this case:
  • A
    SSS
  • B
    ASA
  • C
    AAS
  • D
    SAS
    Correct
4
D,E and f are the mid-points of the sides BC, CA and AB res. Of \(\triangle ABC\). Then \(\triangle DEF\)is congruent to triangle:
  • A
    AEF
  • B
    BFD, DCE
  • C
    ABC
  • D
    AFE, FBD, EDC
    Correct
5
For any \(\triangle ABC\), AB + BC is always:
  • A
    Greater than AC
    Correct
  • B
    None of these
  • C
    Equal to AC
  • D
    Less Than AC
6
Which of the following is not possible in case of triangle ABC?
  • A
    AB = 5cm, BC = 8cm, CA = 7cm.
  • B
    \(\angle A\) = 50\(^\circ \), \(\angle B\) = 60\(^\circ \), \(\angle C\) = 70\(^\circ \)
  • C
    AB = 3cm, BC = 4cm, CA = 5cm.
  • D
    AB = 2cm, BC = 4cm, CA = 7cm.
    Correct
7
In figure, AB = AC and \(\angle ACD\) = 115\(^\circ \). Find \(\angle A\)?
Question 7 figure 1
  • A
    60\(^\circ \)00000
  • B
    50\(^\circ \)
    Correct
  • C
    115\(^\circ \)
  • D
    None of these
8
In fig, AC = BC and \(\angle ACY\) = 140\(^\circ \). Find X and Y:
Question 8 figure 1
  • A
    80\(^\circ \) and 80\(^\circ \)
  • B
    110\(^\circ \) and 110\(^\circ \)
    Correct
  • C
    95\(^\circ \)and 150\(^\circ \)
  • D
    50\(^\circ \) and 120\(^\circ \)
9
In fig. which of the following statement is true?
Question 9 figure 1
  • A
    \(\angle B\) = \(\angle C\)
  • B
    \(\angle B\) is the smallest angle in the triangle
    Correct
  • C
    \(\angle A\)is the smallest angle in the triangle.
  • D
    \(\angle B\)is the greatest angle in the triangle
10
In fig., \(\triangle ABD \cong \triangle ACD\), AB = AC, name the criteria by which the triangles are congruent:
Question 10 figure 1
  • A
    SSS
    Correct
  • B
    ASA
  • C
    SAS
  • D
    RHS
11
In fig, in \(\triangle ABD\), AB = AC, then the value of x is:
Question 11 figure 1
  • A
    100\(^\circ \)
  • B
    80\(^\circ \)
  • C
    130\(^\circ \)
    Correct
  • D
    120\(^\circ \)
12
In a triangle ABC, \(\angle B\) = 35\(^\circ \) and \(\angle C\) = 60\(^\circ \), then
  • A
    AC<BC<AB
  • B
    AB<AC<BC
  • C
    AC<AB<BC
    Correct
  • D
    AB<BC<AC
13
In the adjoining fig, AD = BC and \(\angle BAD\) = \(\angle ABC\). If \(\angle BAD\) = 120\(^\circ \) and \(\angle ABD\) = 35\(^\circ \), then \(\angle CAD\) is
Question 13 figure 1
  • A
    95\(^\circ \)
  • B
    145\(^\circ \)
  • C
    85\(^\circ \)
    Correct
  • D
    35\(^\circ \)
14
In the adjoining fig, PQ = PR. If \(\angle QPR\) = 48\(^\circ \), then value of x is:
Question 14 figure 1
  • A
    96\(^\circ \)
  • B
    114\(^\circ \)
    Correct
  • C
    104\(^\circ \)
  • D
    132\(^\circ \)
15
In the adjoining fig. AB = AC. Is \(\angle C\) = 50\(^\circ \), then the value of x and y are:
Question 15 figure 1
  • A
    X = 60 and Y = 70
  • B
    X = 50 and Y = 80
  • C
    X = 80\(^\circ \) and Y = 50\(^\circ \)
  • D
    X = 80 and y = 50
    Correct