Answer the following
1. Three vertices of a rectangle are (– 4, 5), (– 4, 2) and (3, 2). Plot these points and find the co-ordinates of the fourth vertex.
2. Points A (5, 3), B (–2, 3) and D (5, –4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
3. (i) Plot each of the points A (–2, 4), B (–2, – 3), C (4, –3) and D (4, 4).
(ii) Draw the segments AB, BC, CD and DA. What is the name of the figure ABCD ?
(iii) What are the coordinates of the point where the segment AD cuts the y-axis ?
(iv) What are the coordinates of the points where the segment CD cuts the x-axis ?
4. Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.
5. In the figure, PQR is an equilateral triangle with the co-ordinates of Q and R as (0, 4) and (0, – 4). Find the co-ordinates of the vertex P.
6. The following table gives the number of pens and their corresponding costs. Plot these as ordered pairs and join them. What type of graph do you get ?
7. On a graph paper sketch the parallelogram whose vertices are (–3, 2), (–4, –2), (3, –2) and (4, 2).
8. Abscissa of a point is positive in -------------quadrants
9. The point (–5, 2) and (2, –5) lie in the--------------------------
(a) same quadrants (b) II and III quadrants respectively
(c) II and IV quadrants respectively (d) IV and III quadrants respectively
10. The distance of a point (0, –3) from the origin is :
(a) 0 units (b) –3 units (c) cannot be determined (d) 3 units
11. The area of triangle OAB with O(0,0), A(4,0) & B(0,6) is
(a) 8 sq. unit (b) 12 sq. units (c) 16 sq. units (d) 24 sq. units
2. Points A (5, 3), B (–2, 3) and D (5, –4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
3. (i) Plot each of the points A (–2, 4), B (–2, – 3), C (4, –3) and D (4, 4).
(ii) Draw the segments AB, BC, CD and DA. What is the name of the figure ABCD ?
(iii) What are the coordinates of the point where the segment AD cuts the y-axis ?
(iv) What are the coordinates of the points where the segment CD cuts the x-axis ?
4. Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.
5. In the figure, PQR is an equilateral triangle with the co-ordinates of Q and R as (0, 4) and (0, – 4). Find the co-ordinates of the vertex P.
6. The following table gives the number of pens and their corresponding costs. Plot these as ordered pairs and join them. What type of graph do you get ?
7. On a graph paper sketch the parallelogram whose vertices are (–3, 2), (–4, –2), (3, –2) and (4, 2).
8. Abscissa of a point is positive in -------------quadrants
9. The point (–5, 2) and (2, –5) lie in the--------------------------
(a) same quadrants (b) II and III quadrants respectively
(c) II and IV quadrants respectively (d) IV and III quadrants respectively
10. The distance of a point (0, –3) from the origin is :
(a) 0 units (b) –3 units (c) cannot be determined (d) 3 units
11. The area of triangle OAB with O(0,0), A(4,0) & B(0,6) is
(a) 8 sq. unit (b) 12 sq. units (c) 16 sq. units (d) 24 sq. units
12. Draw the graph of the
following equations
(i) y=3x + 2 (ii) y=x
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