Self Studies

Quadrilaterals ...

TIME LEFT -
  • Question 1
    1 / -0

    ABCD is a parallelogram, and E, F, G and H are the bisectors of ∠B, ∠C, ∠D and ∠A, respectively. If HI = 2t + 19 and IF = 7t – 6, what will be the value of FH?

  • Question 2
    1 / -0

    In the given figure, Q and R are the mid-points of MO and ON, respectively. The area of ΔMNO is 36 cm2. If MO = 3 cm and ON = 4 cm, find the length of QR.




  • Question 3
    1 / -0

    In the figure given below, DE is parallel to BC. AE = 4 cm and DB = 4 cm. If DE divides AE and EC in ratio 2 : 3, then what is the value of AD?

  • Question 4
    1 / -0

    In the given figure, ABDE is a parallelogram and F and D are the mid-points of AC and BC, respectively. If AC = 4 cm, BC = 4 cm and AB = 6 cm, then which of the following options is true?

  • Question 5
    1 / -0

    In a parallelogram, the smallest angle and the largest angle are in the ratio 4 : 11. If the largest angle is decreased by 25%, what will be the new measure of the smallest angle?

  • Question 6
    1 / -0

    PQRS is a parallelogram such that PQ = 7 cm and PQ : SP = 7 : 3. Find the length of side QR.

  • Question 7
    1 / -0

    In the following rhombus ABCD, find the value of x if the ratio of the largest to the smallest angle is 3 : 5.

  • Question 8
    1 / -0

    In a parallelogram ABCD, AC and BD are diagonals that bisect each other at O. A line BE is drawn parallel to OC and line CE is drawn parallel to OB. If the area of ΔBOC is 18 cm2 and that of parallelogram ABCD is 68 cm2, then which of the following statements is false?

  • Question 9
    1 / -0

    In the given figure, ABCD is a parallelogram and AC is one of its diagonals.



    Which of the following relationships is correct?

  • Question 10
    1 / -0

    In the given triangle ABC, E is the midpoint of BC, BC = 8 cm and M and N are the midpoints of BD and DE, respectively. Find the measure of x.

  • Question 11
    1 / -0

    In quadrilateral GSTU, if ∠G = 90° and ∠S : ∠T : ∠U = 3 : 3 : 4, then what will be the sum of the smallest and the largest angle?

  • Question 12
    1 / -0

    If MO is the bisector of ∠M and ∠O in rhombus MNOP, what will be the value of ∠NMO?

  • Question 13
    1 / -0

    In the following figure, what will be the value of ∠MNO?

  • Question 14
    1 / -0

    What will be the measure of H in the following figure?

  • Question 15
    1 / -0

    Find the value of 'g' if IJKL is a parallelogram, and M, N, O and P are the bisectors of the angles.

  • Question 16
    1 / -0

    If one of the corners of a parallelogram is joined to its opposite corner, what type of triangles will be formed?

  • Question 17
    1 / -0

    If, in a quadrilateral, one pair of opposite angles is equal and the longest diagonal bisects the shortest diagonal into equal parts, then what type of quadrilateral is it?

  • Question 18
    1 / -0

    If one angle of a quadrilateral is 126° and the rest are in ratio 6 : 4 : 3, then what will be the sum of the first and second angles if arranged in ascending order?

  • Question 19
    1 / -0

    Find the sum of g and z.

  • Question 20
    1 / -0

    What type of shape will it be, if both the diagonals of a parallelogram are of same size and are right bisectors of each other?

  • Question 21
    1 / -0

    Study the statements carefully and choose the correct option.

    Statement I: If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral would be either a rectangle or a square.
    Statement II: If ABCD is a parallelogram, E and F are the respective mid-points of AB and CD, and BD is a diagonal, then AECF is a parallelogram.

  • Question 22
    1 / -0

    Read the following statements carefully and state 'T' for true and 'F' for false.

    (i) For a rhombus and a parallelogram, adjacent angles are supplementary and opposite angles are equal.
    (ii) If all the angles of a parallelogram become equal, then the shape thus formed is a square.
    (iii) A trapezoid is isosceles if and only if the base angles are congruent.

    (i) (ii) (iii)
    a T F T
    b T F F
    c F T T
    d T T T

  • Question 23
    1 / -0

    Fill in the blanks:

    (i) For a quadrilateral ABCD, if ∠A = 90°, ∠B = 120° and ∠C = 70°, then ∠D = ____P_____.
    (ii) The diagonals of a rhombus ___Q____ each other at right angles.
    (iii) A kite can become a rhombusif all ____R_____ are equal.

    P Q R
    a 70° meet angles
    b 80° cut diagonals
    c 80° bisect sides
    d 60° meet angles and sides

  • Question 24
    1 / -0

    In the following figure, ABCD is a parallelogram. If DAC = 2(2x - 30°) and ABC = x + 30°, find the measure of BCE.

  • Question 25
    1 / -0

    ABCD is a quadrilateral, and AC and BD are its diagonals intersecting at point O.



    Based on the above information, match column I with column II:

    Column I Column II
    (a) If ABCD is a parallelogram and ∠ABD = 30°, then the measure of ∠AOB is (I) 110°

    (b) If ABCD is a rhombus and ∠OAB = 50°, then the measure of ∠ABO is
    (II) 90°
    (c) If ABCD is a parallelogram and ∠ADC = 70°, then the measure of ∠DCB is
    (III) 40°
    (d) If ABCD is a rhombus and ∠ODC = 40°, then the sum of ∠DOC and ∠OCD is (IV) 140°

    a b c d
    1 I II IV III
    2 II III I IV
    3 III IV I II
    4 IV I II III

Submit Test
Self Studies
User
Question Analysis
  • Answered - 0

  • Unanswered - 25

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
Submit Test
Self Studies Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Self Studies
Click on Allow to receive notifications
Allow Notification
Self Studies
Self Studies Self Studies
To enable notifications follow this 2 steps:
  • First Click on Secure Icon Self Studies
  • Second click on the toggle icon
Allow Notification
Get latest Exam Updates & FREE Study Material Alerts!
Self Studies ×
Open Now