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 AB= QR, BC=RP and CA=QP, then which of the following holds?
  • A
    \(\triangle \)CAB\( \cong \) \(\triangle \) \(\triangle \)PQR
    Correct
  • B
    \(\triangle \)BCA\( \cong \)\(\triangle \)PQR
  • C
    \(\triangle \)ABC\( \cong \)\(\triangle \)PQR
  • D
    \(\triangle \)CBA\( \cong \)\(\triangle \)PQR
2
Which is true?
  • A
    A triangle can have two right angles
  • B
    A triangle can have two acute angles
    Correct
  • C
    A triangle can have two obtuse angles
  • D
    All is true
3
If the altitudes from vertices of a triangle to the opposite sides are equal, then the triangles is
  • A
    Isosceles
    Correct
  • B
    Scalene
  • C
    Equilateral
  • D
    Right-angled
4
O is any point in the interior of \(\triangle \)ABC.Then which of the following is true?
  • A
    (OA+OB+OC)< \(\frac{1}{2}\) (AB+BC+CA)
  • B
    (OA+OB+OC)> (AB+BC+CA)
  • C
    None
  • D
    (OA+OB+OC)> \(\frac{1}{2}\) (AB+BC+CA)
    Correct
5
Which of the following is not a criterion for congruence of triangles?
  • A
    SAS
  • B
    ASA
  • C
    SSA
    Correct
  • D
    SSS
6
IF \(\triangle \)ABC\( \cong \)\(\triangle \)PQR and \(\triangle \)ABC is not congruent to \(\triangle \)RPQ then which of the following is not true?
  • A
    BC=PQ
    Correct
  • B
    AB=PQ
  • C
    BC=QR
  • D
    AC=PR
7
It is given that \(\triangle \)ABC\( \cong \)\(\triangle \)FDE in which AB= 5 cm, \(\angle \)B=\({40^ \circ }\),\(\angle \)A=\({80^ \circ }\)and FD=5 cm. Then , which of the following is not true
  • A
    \(\angle \)E=\({60^ \circ }\)
  • B
    \(\angle \)D=\({60^ \circ }\)
    Correct
  • C
    \(\angle \)F=\({60^ \circ }\)
  • D
    \(\angle \)D=\({80^ \circ }\)
8
In \(\triangle \)ABC, AB=.5 cm and BC=6 cm. Then, the length of AC cannot be
  • A
    3.8 cm
  • B
    3.4 cm
    Correct
  • C
    4cm
  • D
    3.6 cm
9
In \(\triangle ABC\) and \(\triangle DEF\), AB = DE and \(\angle A\) = \(\angle D\).Then two triangles will be congruent by SA axiom if:
  • A
    AC = DE
    Correct
  • B
    AC = EF.
  • C
    BC = EF
  • D
    BC = DE
10
In \(\triangle ABC\), \(\angle A\) = \(35^\circ \) and \(\angle B\) = \(65^\circ \), then the longest side of the triangle is:
  • A
    None of these
  • B
    AC
  • C
    BC
  • D
    AB
    Correct
11
P is a point on side BC of a \(\triangle \)ABC such that AP bisects \(\triangle \)BAC. Then
  • A
    CP < CA
  • B
    BA > BP
    Correct
  • C
    BP > BA
  • D
    BP = CP
12
12 In the given figure, AD is the median, then \(\angle \)BAD is:
Question 12 figure 1
  • A
    \(50^\circ \)
  • B
    \(55^\circ \)
  • C
    \(100^\circ \)
    Correct
  • D
    \(40^\circ \)
13
In \(\triangle ABC\) and \(\triangle PQR\), AB = PR and \(\angle A\)=\(\angle P\). Then two triangels will be congruent by SAS axiom if:
  • A
    BC = PQ
  • B
    AC=QR
  • C
    BC=QR
  • D
    AC=PQ
    Correct
14
If \(\triangle ABC\)\( \cong \)\(\triangle DEF\) by SSS congruence rule, then:
  • A
    BC = QR
  • B
    AC = PQ
    Correct
  • C
    BC = PQ
  • D
    AC = QR
15
\(\triangle ABC\)\( \cong \)\(\triangle PQR\). If AB=5 cm, and then which of the following is true?
  • A
    QR = 5 CM, \(\angle R\)= \(60^\circ \)
  • B
    (d)QR = 5 CM, \(\angle Q\) = \(60^\circ \)
  • C
    QP = 5cm, \(\angle R\) = \(60^\circ \)
    Correct
  • D
    QP = 5 cm, \(\angle P\)= \(60^\circ \)