World of Quadrilaterals


WELCOME
To the World of Quadrilaterals

Student presentation




WELCOME TO WORLD OF QUADRILATERALS.



  • QUESTIONS:
  1. Find the length Of the diagonal QS of a square PQRS if length of diagonal PR is 8 cm.
  • As per given conditions,
Length of diagonal PR is 8 cm.

The diagonals of a square are congruent. (Property of square.)
Therefore,

PR =QS.
But PR = 8 cm…………………..Given

Therefore QS is also 8 cm .




  • If in the square ABCD , l (AB)=4.5 cm, what are the lengths of the other sides of the squares?
  • As per given conditions,
AB (side of the square) is 4.5 cm.

All sides in the square are congruent.
Therefore,

AB= BC= AC= CD= 4.5 cm.





 



The diagonals seg DF and seg EG of the square DEFG intersect each other in point m .If l(DM) =7 cm. find l (EG) ?
As per given conditions,
the diagonals of a square intersect each other at M.

In a square the diagonals bisect each other.
But , l(DM)=7 cm.
Therefore,DM=EG=7cm .





 

  • In rectangle PQRS , l(PQ)=7 cm, l(PS)=9 cm. Find l(QR) and SR.


In a rectangle the opposite sides are congruent .
Therefore, PQ=SR AND PS=QR.
As per given conditions, we can say that

l(QR)=9 cm and l (SR)=7cm.






 


  • The diagonals AC and BD of rectangle ABCD intersect each other at point O. If measure angle CAB =25 degrees. find measure angle DAC and CAD.

In a rectangle the vertex angles are perpendicular to each other.
Therefore measure angle DAB 90 .
But , measure angle DAB =m(angle DAC+ angle CAD).
Therefore, CAD=90-25
                Therefore CAD=65





 



  • In quadrilateral LMNP, measure angle L=M=N=P=90.tell what type of quadrilateral LMNP is ? Explain your answer ?



The following figure is a rectangle as all vertex angles are perpendicular to each other.

Therefore the quadrilateral is a rectangle .






 


  • If length of one side of a rhombus is 7.5 cm then find the remaining sides of the rhombus ?


In a rhombus all sides are congruent.

Therefore , length of the side is 7.5 cm






 


  • If measure angle QPS in the rhombus PQRS is 65. Find measure angle QRS ?


The opposite angles of a rhombus are congruent.

Angle QPS and QRS are opposite.

Therefore ,QPS=QRS=65







 

  • In parallelogram PQRS, measure angle Q=130.find the measure of the other angles of the parallelogram ?



In a parallelogram the opposite angles are congruent.
Therefore. Q=S=130

In a quadrilateral the sum of measures of all angles is 360.
Therefore ,P+R=360-260
Therefore , P+R=100

By 1, we get that P=R=50





 


 
Posted by Abby Chacko at 9:50 AM

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