Class 7 Congruence Of Triangles CBSE Questions & Answers

Class 7 · Congruence Of Triangles

This is Mathematics Class 7 Congruence of Triangles CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
In the below figure, AB = AC and BE = CD. If \(\triangle \)ACD \( \cong \) \(\triangle \)ABE then AD =
Question 1 figure 1
  • A
    AC
  • B
    None of these
  • C
    AE
    Correct
  • D
    AB
2
DABC is right triangle in which \(\angle \)A = 90\(^\circ \) and AB = AC. The values of \(\angle \)B and \(\angle \)C will be
  • A
    \(\angle \)B = \(\angle \)C = 50\(^\circ \)
  • B
    \(\angle \)B = \(\angle \)C = 60\(^\circ \)
  • C
    \(\angle \)B = \(\angle \)C = 30\(^\circ \)
  • D
    \(\angle \)B = \(\angle \)C = 45\(^\circ \)
    Correct
3
The measure of each angle of an equilateral triangle is:
  • A
    70\(^\circ \)
  • B
    50\(^\circ \)
  • C
    100\(^\circ \)
  • D
    60\(^\circ \)
    Correct
4
If the vertical angle of a isosceles triangle is 40\(^\circ \), then measure of other two angles will be
  • A
    45\(^\circ \), 45\(^\circ \)
  • B
    80\(^\circ \), 80\(^\circ \)
  • C
    70\(^\circ \), 70\(^\circ \)
    Correct
  • D
    60\(^\circ \), 60\(^\circ \)
5
If \(\angle \)A, \(\angle \)B and \(\angle \)C of \(\triangle \)ABC are equal, then triangle is
  • A
    scalene
  • B
    equilateral
    Correct
  • C
    None of these
  • D
    isosceles
6
Which one of the following is the value of congruency?
  • A
    SSA
  • B
    None of these
  • C
    SAS
    Correct
  • D
    ASS
7
By which congruence rule following triangles are congruent?
Question 7 figure 1
  • A
    SSS
    Correct
  • B
    ASA
  • C
    None of these
  • D
    RHS
8
In the below figure, AC = BD and AD = BC. Which of the following statements is meaningfully written?
Question 8 figure 1
  • A
    \(\triangle \)ABC \( \cong \) \(\triangle \)ADB
  • B
    \(\triangle \)ABC \( \cong \) \(\triangle \)BDA
  • C
    \(\triangle \)ABC \( \cong \) \(\triangle \)ABD
    Correct
  • D
    \(\triangle \)ABC \( \cong \) \(\triangle \)BAD
9
Which is the longest side in the triangle ABC right angled at B?
  • A
    AB
  • B
    AC
    Correct
  • C
    None of these
  • D
    BC
10
Which is the longest side of a right triangle?
  • A
    Hypotenuse
    Correct
  • B
    None of these
  • C
    Perpendicular
  • D
    Base
11
What is the angle included between the sides PN and PM of \(\triangle \)MNP?
  • A
    \(\angle \)N
  • B
    \(\angle \)P
    Correct
  • C
    \(\angle \)M
  • D
    None of these
12
In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm, then which of the following is true
  • A
    \(\triangle \)ABC \( \cong \) \(\triangle \) PQR
  • B
    \(\triangle \)ABC \( \cong \) \(\triangle \) RPQ
    Correct
  • C
    \(\triangle \)ABC \( \cong \) \(\triangle \) QPR
  • D
    \(\triangle \)ABC \( \cong \) \(\triangle \) QRP
13
A triangle in which all three sides are of equal lengths is called _________.
  • A
    Scalene
  • B
    Isosceles
  • C
    None of these
  • D
    Equilateral
    Correct
14
In triangles ABC and DEF, AB = 7 cm, BC = 5 cm, \(\angle \)B = 50\(^\circ \), DE = 5 cm, EF = 7 cm, \(\angle \)E = 50\(^\circ \). By which congruence rule the triangles are congruent?
  • A
    SAS
    Correct
  • B
    RHS
  • C
    SSS
  • D
    ASA
15
In the below figure, AB = AC and AD is the bisector of \(\angle \)BAC, then the relation between \(\angle \)B and \(\angle \)C is
Question 15 figure 1
  • A
    \(\angle \)B = \(\frac{1}{2}\) \(\angle \)C
  • B
    \(\angle \)B > \(\angle \)C
  • C
    \(\angle \)B < \(\angle \)C
  • D
    \(\angle \)B = \(\angle \)C
    Correct