The co-ordinates of □PQRS are P(−1, −2), Q(−4, −2), R(−4, −3) and S(−1, −5) respectively. Draw □PQRS and state is type.

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Solution

$Here, one pair of sides is parallel . That is, PS ∥ QR (both parallel to Y - axis) . ∴ PQRS is a trap ezium .$

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Similar questions

Q. The co-ordinates of the vertices of

□ P Q R S

are

P (- 1, 2), Q (- 4, - 2), R (- 4, - 3)

and

S (- 1, - 5)

respectively. Draw

□ P Q R S

and state it is which type of quadrilateral.

Draw a rectangle PQRS in which vertices P, Q, R and S are (1, 4), (–5, 4), (–5, –3) and (1, – 3) respectively.

Q. Find the area of the quadrilateral

P Q R S - ------ -

whose vertices in order are

P (- 5, - 3), Q (- 4, - 6), R (2, - 1)

and

S (1, 2)

Answer the following questions: [3 MARKS]

(a) In which quadrant will the point lie, if the abscissa is –10 and the ordinate is – 4.
(b) Draw a rectangle PQRS in which vertices P, Q, R and S are (1,4), (-5,4), (-5,-3) and (1,-3) respectively.

Q. Show that

□

PQRS is a rectangle if P (

-

2,6), Q(3,1), R(

-

-

3) and S(

-

6,2) are the co-ordinates of the vertices.

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The co-ordinates of □PQRS are P(−1, −2), Q(−4, −2), R(−4, −3) and S(−1, −5) respectively. Draw □PQRS and state is type.

Here, one pair of sides is parallel.That is, PS∥QR both parallel to Y-axis.∴PQRS is a trapezium.

$Here, one pair of sides is parallel . That is, PS ∥ QR (both parallel to Y - axis) . ∴ PQRS is a trap ezium .$