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Quadrilaterals · ICSE STD 8 (ICSE - English Medium). 26 questions.

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26 questions · timed · auto-graded

MCQ 11 Mark
In the figure, ABCD is a square. It is cut along XY to get two pieces ADXY and BCXY . For the quadrilateral ADXY :
(i) the lengths of diagonals are equal
(ii) the diagonals are perpendicular to each other.
Image
  • ✓
    only (i) is correct
  • B
    only (ii) is correct
  • C
    both are correct
  • D
    we cannot comment anything from the given information
Answer
Correct option: A.
only (i) is correct
A
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MCQ 21 Mark
If two adjacent angles of a parallelogram are $(5 x-10)^{\circ}$ and $(x+10)^{\circ}$, then the ratio of these angles is
  • A
    $3: 2$
  • B
    $5: 1$
  • C
    $5: 4$
  • ✓
    $7: 2$
Answer
Correct option: D.
$7: 2$
D
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MCQ 31 Mark
Mahima joined four similar right triangles to get a quadrilateral PQRS, as shown. Quadrilateral PQRS may be:
Image
  • A
    a rectangle
  • B
    square and rhombus both
  • ✓
    rhombus but not a square
  • D
    a parallelogram, which is not a rhombus, square or rectangle
Answer
Correct option: C.
rhombus but not a square
C
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MCQ 41 Mark
The angles A, B, C and D of a quadrilateral ABCD are in the ratio 1:3:7:9. Then ABCD is a
  • A
    parallelogram
  • B
    kite
  • ✓
    trapezium with $A B \| C D$
  • D
    trapezium with $BC \| AD$
Answer
Correct option: C.
trapezium with $A B \| C D$
C
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MCQ 51 Mark
A quadrilateral windowframe has one of its diagonals longer than the other. What would be the shape of this windowframe?
  • A
    Square
  • B
    Rectangle
  • ✓
    Parallelogram
  • D
    All the above
Answer
Correct option: C.
Parallelogram
C
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MCQ 61 Mark
The angles of a quadrilateral are in the ratio 2:3:4:9. The smallest angle is
  • ✓
    $20^{\circ}$
  • B
    $30^{\circ}$
  • C
    $36^{\circ}$
  • D
    $40^{\circ}$
Answer
Correct option: A.
$20^{\circ}$
A
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MCQ 71 Mark
Two students Divya and Kavya were discussing about kite shape:
Divya says: Opposite sides are equal and parallel. Both diagonals bisect each other. Diagonals are perpendicular to each other.
Kavya says: Two pairs of equal consecutive sides. One of the diagonals bisects the other. Diagonals are perpendicular to each other.
Who is completely correct?
  • A
    Only Divya
  • ✓
    Only Kavya
  • C
    Both are correct
  • D
    Both are wrong
Answer
Correct option: B.
Only Kavya
B
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MCQ 81 Mark
Consider the following statements :
(i) The diagonals of a parallelogram are equal.
(ii) The diagonals of a square are perpendicular to each other.
(iii) If the diagonals of a quadrilateral intersect at right angles, it is not necessarily a rhombus.
(iv) Every quadrilateral is either a trapezium or a parallelogram or a kite.
Which of the above statements is / are correct?
  • A
    only (ii)
  • B
    only (iii)
  • ✓
    both (ii) and (iii)
  • D
    (ii), (iii) and (iv)
Answer
Correct option: C.
both (ii) and (iii)
C
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MCQ 91 Mark
In the figure, ABCD is a rhombus. Diagonal AC is extended such that it acts as a diagonal of parallelogram CEFG. If $\angle ACB =30^{\circ}$, then CEFG is a:
Image
  • A
    rectangle
  • B
    square
  • ✓
    rhombus
  • D
    none of these
Answer
Correct option: C.
rhombus
C
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MCQ 101 Mark
If the adjacent sides of a parallelogram are equal, then the parallelogram is a
  • A
    rectangle
  • B
    square
  • ✓
    rhombus
  • D
    kite
Answer
Correct option: C.
rhombus
C
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MCQ 111 Mark
In the figure, ABCD is a rhombus. Two adjacent angles of the rhombus are:
Image
  • ✓
    $100^{\circ}, 80^{\circ}$
  • B
    $60^{\circ}, 120^{\circ}$
  • C
    $40^{\circ}, 140^{\circ}$
  • D
    $70^{\circ}, 110^{\circ}$
Answer
Correct option: A.
$100^{\circ}, 80^{\circ}$
A
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MCQ 121 Mark
If the adjacent angles of a parallelogram are equal, then the parallelogram is a
  • ✓
    rectangle
  • B
    square
  • C
    rhombus
  • D
    trapezium
Answer
Correct option: A.
rectangle
A
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MCQ 131 Mark
In the given figure, ABCD is a parallelogram.
The value of $(x+y+z)$ is:
Image
  • A
    $100^{\circ}$
  • B
    $120^{\circ}$
  • ✓
    $150^{\circ}$
  • D
    $160^{\circ}$
Answer
Correct option: C.
$150^{\circ}$
C
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MCQ 141 Mark
Diagonals are equal in each of the following except
  • A
    isosceles trapezium
  • B
    rectangle
  • C
    square
  • ✓
    rhombus
Answer
Correct option: D.
rhombus
D
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MCQ 151 Mark
In the given figure, $CP \| DB$. If $\angle DAB =100^{\circ}, \angle ABD =40^{\circ}$, $\angle ADC =85^{\circ}$ and $\angle BCD =70^{\circ}$, then $\angle PCB$ is:
Image
  • ✓
    $65^{\circ}$
  • B
    $70^{\circ}$
  • C
    $85^{\circ}$
  • D
    $90^{\circ}$
Answer
Correct option: A.
$65^{\circ}$
A
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MCQ 161 Mark
Diagonals of each of the following bisect each other except
  • A
    rectangle
  • B
    square
  • C
    rhombus
  • ✓
    kite
Answer
Correct option: D.
kite
D
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MCQ 171 Mark
In a $\| gm$ PQRS, $\angle P+\angle Q=a^0$ and $\angle P-\angle R=b^0$. Then, $a$ and $b$ are respectively.
  • A
    $90^{\circ}, 90^{\circ}$
  • B
    $120^{\circ}, 60^{\circ}$
  • ✓
    $180^{\circ}, 0^{\circ}$
  • D
    $180^{\circ}, 90^{\circ}$
Answer
Correct option: C.
$180^{\circ}, 0^{\circ}$
C
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MCQ 181 Mark
In the adjoining figure, DEFG is a rhombus. Then, $(q-p)$ is equal to
Image
  • A
    $20^{\circ}$
  • B
    $30^{\circ}$
  • C
    $40^{\circ}$
  • ✓
    $50^{\circ}$
Answer
Correct option: D.
$50^{\circ}$
D
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MCQ 191 Mark
Which expression below represents the measure of $\angle B$ in rhombus $A B C D$ ?
Image
  • A
    $x^{\circ}$
  • B
    $(180-x)^{\circ}$
  • C
    $2 x^{\circ}$
  • ✓
    $(180-2 x)^{\circ}$
Answer
Correct option: D.
$(180-2 x)^{\circ}$
D
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MCQ 211 Mark
In the figure, $A B C D$ is a rectangle whose diagonals intersect at O . If $O D=5 x+1$ and $O A=4 x+19$, then $x$ equals
Image
  • A
    12
  • B
    15
  • C
    16
  • ✓
    18
Answer
Correct option: D.
18
D
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MCQ 221 Mark
In a parallelogram $A B C D$, the bisectors of $\angle A$ and $\angle B$ meet at $E$. Then, $\angle A E B=$ ?
Image
  • A
    $45^{\circ}$
  • B
    $60^{\circ}$
  • ✓
    $90^{\circ}$
  • D
    $105^{\circ}$
Answer
Correct option: C.
$90^{\circ}$
C
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MCQ 231 Mark
In the adjoining figure, $A B C D$ is a quadrilateral.
The smallest angle of quadrilateral ABCD measures
Image
  • ✓
    $49^{\circ}$
  • B
    $50^{\circ}$
  • C
    $62^{\circ}$
  • D
    $63^{\circ}$
Answer
Correct option: A.
$49^{\circ}$
A
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MCQ 241 Mark
In the given figure, $A B C D$ is a parallelogram.
Then the values of $x, y$ and $z$ respectively are
Image
  • A
    $100^{\circ}, 80^{\circ}, 100^{\circ}$
  • ✓
    $100^{\circ}, 100^{\circ}, 80^{\circ}$
  • C
    $80^{\circ}, 100^{\circ}, 100^{\circ}$
  • D
    $80^{\circ}, 80^{\circ}, 100^{\circ}$
Answer
Correct option: B.
$100^{\circ}, 100^{\circ}, 80^{\circ}$
B
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MCQ 251 Mark
In the figure, ABCD is a rhombus, $DE \perp AB$ and E is the mid-point of AB . Measure of $\angle A$ is:
Image
  • A
    $50^{\circ}$
  • ✓
    $60^{\circ}$
  • C
    $75^{\circ}$
  • D
    $80^{\circ}$
Answer
Correct option: B.
$60^{\circ}$
B
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MCQ 261 Mark
The diagonals of each of the following intersect at right angles except
  • A
    kite
  • ✓
    rectangle
  • C
    rhombus
  • D
    square
Answer
Correct option: B.
rectangle
B
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