QUADRILATERALS (LECTURE 8)

14TH MAY

GOOD MORNING!

TODAY,YOU ALL WILL SOLVE THE QUESTIONS GIVEN BELOW

TOMORROW, WE WILL HAVE A DICUSSION SESSION IN THE MATHS PERIOD!!

1.A quadrilateral has all its four angles of the same value . Find each angle.

2. Two angles of a quadrilateral are of measure 65° and the other two angles are equal. What is the measure of each of these two angles?

3. In Figure, the bisectors of ∠A and ∠B meet at a point P. If ∠C =100° and ∠D = 50°, find the measure of ∠APB.

4. Find the number of sides of a regular polygon, when each of its angles has a measure of

160°

5 Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5.

6.Two adjacent angles of a parallelogram are (3x-4)o and (3x+10)o. Find the angles of the parallelogram.

7. In a parallelogram ABCD, the diagonals bisect each other at O.  If ∠ABC =30°, ∠BDC= 10° and ∠CAB =70°. Find:

∠DAB, ∠ADC, ∠BCD, ∠AOD, ∠DOC, ∠BOC,∠AOB, ∠ACD, ∠CAB, ∠ADB, ∠ACB, ∠DBC, and ∠DBA.

8.

 Which of the following statements are true for a rhombus?

(i) It has two pairs of parallel sides.
(ii) It has two pairs of equal sides.
(iii) It has only two pairs of equal sides.
(iv) Two of its angles are at right angles.
(v) Its diagonals bisect each other at right angles.
(vi) Its diagonals are equal and perpendicular.
(vii) It has all its sides of equal lengths.
(viii) It is a parallelogram.
(ix) It is a quadrilateral.
(x) It can be a square.
(xi) It is a square.

9 •Name the quadrilaterals whose diagonals:

(i) bisect each other
(ii) are perpendicular bisector of each other
(iii) are equal.

TAKE CARE  AND BE SAFE!

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