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

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Solution

Plot the point by taking abscissa 1 and ordinate as -4.

Similarly, plot the points Q, R and S respectively.

Join P, Q, R and S. PQRS is the required rectangle.

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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.

Question 8
ABCD is a rectangle formed by points A (-1,-1), B(-1,4), C(5,4) and D(5,-1). P, Q, R, and S are mid-points of AB, BC, CD, and DA respectively. Is the quadrilateral PQRS a square, rectangle or rhombus? Justify your answer.

Question 8
ABCD is a rectangle formed by points A (-1,-1), B(-1,4), C(5,4) and D(5,-1). P, Q, R, and S are mid-points of AB, BC, CD, and DA respectively. Is the quadrilateral PQRS a square, rectangle or rhombus? Justify your answer.

ABCD is a rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). If P,Q,R and S be the midpoints of AB, BC, CD and DA respectively, show that PQRS is a rhombus.

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.

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

Plot the point by taking abscissa 1 and ordinate as -4. Similarly, plot the points Q, R and S respectively. Join P, Q, R and S. PQRS is the required rectangle. ​​

Plot the point by taking abscissa 1 and ordinate as -4.

Similarly, plot the points Q, R and S respectively.

Join P, Q, R and S. PQRS is the required rectangle.