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प्रश्न
Construct ☐ PQRS, such that l(PQ) = 3.5 cm, l(QR) = 5.6 cm, l(RS) = 3.5 cm, m∠Q = 110°, m∠R = 70°. If it is given that ☐ PQRS is a parallelogram, which of the given information is unnecessary?
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उत्तर
Steps of Construction:
Step 1: Draw PQ = 3.5 cm.
Step 2: Draw ∠PQX = 110°.
Step 3: With Q as the center and a radius of 5.6 cm, draw an arc-cutting ray QX at R.
Step 4: Draw ∠QRY = 70°.
Step 5: With R as centre and radius 3.5 cm, draw an arc cutting ray RY at S.
Step 6: Join PS.
Here, PQRS is the required quadrilateral.
If it is given that quadrilateral PQRS is a parallelogram, then the information l(RS) = 3.5 cm and m∠R = 70° is unnecessary.
संबंधित प्रश्न
Given a parallelogram ABCD. Complete each statement along with the definition or property used.
- AD = ______
- ∠DCB = ______
- OC = ______
- m∠DAB + m∠CDA = ______
Consider the given parallelogram. Find the values of the unknowns x, y, z.
In parallelogram PQRS, ∠Q = (4x – 5)° and ∠S = (3x + 10)°. Calculate: ∠Q and ∠R.
In the following diagram, the bisectors of interior angles of the parallelogram PQRS enclose a quadrilateral ABCD.
Show that:
(i) ∠PSB + ∠SPB = 90°
(ii) ∠PBS = 90°
(iii) ∠ABC = 90°
(iv) ∠ADC = 90°
(v) ∠A = 90°
(vi) ABCD is a rectangle
Thus, the bisectors of the angles of a parallelogram enclose a rectangle.
The given figure shows parallelogram ABCD. Points M and N lie in diagonal BD such that DM = BN.
Prove that:
(i) ∆DMC = ∆BNA and so CM = AN
(ii) ∆AMD = ∆CNB and so AM CN
(iii) ANCM is a parallelogram.
Use the information given in the alongside diagram to find the value of x, y, and z.
Which of the following figures satisfy the following properties?
- All sides are congruent.
- All angles are right angles.
- Opposite sides are parallel.
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Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B = 60°.
Construct a parallelogram HOME with HO = 6 cm, HE = 4 cm and OE = 3 cm.
