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
One of the angles of a triangle is 120 \(^\circ \) and the other two angles are equal. Find the measure of each of the equal angles.
  • A
    50 \(^\circ \), 50 \(^\circ \)
  • B
    30 \(^\circ \), 30 \(^\circ \)
    Correct
  • C
    40 \(^\circ \), 40 \(^\circ \)
  • D
    45 \(^\circ \), 45 \(^\circ \)
2
The three angles of a triangle are in the ratio 5:4:1. Find all the angles of the triangle.
  • A
    None of these
  • B
    50 \(^\circ \), 40 \(^\circ \), 10 \(^\circ \)
  • C
    100 \(^\circ \), 80 \(^\circ \), 20 \(^\circ \)
  • D
    90 \(^\circ \), 72 \(^\circ \), 18 \(^\circ \)
    Correct
3
By applying ASA congruence rule, it is to be established that \(\triangle \)ABC \( \cong \) \(\triangle \)QRP and it is given that BC = RP. What additional information is needed to establish the congruence?
  • A
    None of these
  • B
    \(\angle \)B = \(\angle \)R and \(\angle \)C = \(\angle \)P
    Correct
  • C
    AB = PQ and \(\angle \)C = \(\angle \)P
  • D
    \(\angle \)B = \(\angle \)R and AC = PR
4
If \(\triangle \)ABC and \(\triangle \)PQR are to be congruent, name one additional pair of corresponding parts.
Question 4 figure 1
  • A
    BC = QR
    Correct
  • B
    AC = PR
  • C
    None of these
  • D
    AB = PQ
5
Find the value of x and y in the below figure.
Question 5 figure 1
  • A
    50\(^\circ \), 120\(^\circ \)
  • B
    70\(^\circ \), 80\(^\circ \)
  • C
    60\(^\circ \), 90\(^\circ \)
    Correct
  • D
    40\(^\circ \), 100\(^\circ \)
6
The triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a __________.
  • A
    acute-angled triangle
  • B
    right-angled triangle
    Correct
  • C
    None of these
  • D
    obtuse-angled triangle
7
Find the value of x in the below figure.
Question 7 figure 1
  • A
    40
  • B
    80
  • C
    70
    Correct
  • D
    30
8
A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.
  • A
    None of these
  • B
    9 m
    Correct
  • C
    12 m
  • D
    10 m
9
A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.
  • A
    13 m
  • B
    15 m
  • C
    20 m
  • D
    18 m
    Correct
10
Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.
  • A
    50 cm
  • B
    44 cm
  • C
    88 cm
  • D
    98 cm
    Correct
11
The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
  • A
    64 cm
  • B
    68 cm
    Correct
  • C
    60 cm
  • D
    56 cm
12
The triangle whose lengths of sides are 8 cm, 15 cm, 17 cm is a __________.
  • A
    acute-angled triangle
  • B
    right-angled triangle
    Correct
  • C
    obtuse-angled triangle
  • D
    None of these
13
The triangle whose lengths of sides are 7 cm, 24 cm, 25 cm is a __________.
  • A
    right-angled triangle
    Correct
  • B
    acute-angled triangle
  • C
    None of these
  • D
    obtuse-angled triangle
14
The three angles of a triangle are in the ratio 6:3:1. Find all the angles of the triangle.
  • A
    108\(^\circ \), 54\(^\circ \), 18\(^\circ \)
    Correct
  • B
    None of these
  • C
    100\(^\circ \), 80\(^\circ \), 20\(^\circ \)
  • D
    50\(^\circ \), 40\(^\circ \), 10\(^\circ \)
15
One of the angles of a triangle is 150\(^\circ \) and the other two angles are equal. Find the measure of each of the equal angles.
  • A
    30\(^\circ \), 30\(^\circ \)
  • B
    40\(^\circ \), 40\(^\circ \)
  • C
    15\(^\circ \), 15\(^\circ \)
    Correct
  • D
    45\(^\circ \), 45\(^\circ \)