Coordinate Geometry | Chapter Assessment | English | Grade 9

The point whose ordinate is 9 and which lies on y-axis is

• (9,0)

• (0,9)

• (1,9)

• (0,-9)

Answer explanation

Ordinate means nothing but Y coordinate and since the point is lying on Y-axis, its X-coordinate will be zero. Hence the coordinate of the point is (0,9)

Tags

CCSS.5.G.A.1

If A(-1,1), B(3,-4), C(1,-1), D(-2,-3) & E(-4,-4) are plotted on the xy-plane on a graph paper, then identify the points that lie in the second and fourth quadrant.

• A, B and C

• A, E and D

• B, C and D

• C, D and E

Answer explanation

Based on the plotted graph, we can see that points A is in second quadrant and points B and C are in the fourth quadrant and E is in the 3rd quadrant, hence option 1 is the correct option

Tags

CCSS.6.NS.C.6B

Three vertices of a rectangle are Q(2,3), R(2,-4) and S(-2,-4). Plot these points on a graph paper and find the coordinates of the First vertex i.e. P. Also identify that Point P lies in which quadrant.

• P(2,-3), fourth quadrant

• P(-2,-3), third quadrant

• P(-2,3), second quadrant

• P(2,4), First Quadrant

Answer explanation

Plot the three vertices of the rectangle Q(2,3), R(2,-4) and S(-2,-4). To find: the coordinate of the first vertex P Solution: Since PQRS is a rectangle, the opposite sides will be equal. So the abscissa of P should be equal to the abscissa of S i.e. -2 and the ordinate of the P should be equal to the ordinate of point Q i.e. 3. So the coordinate of P are (-2,3)

Tags

CCSS.6.NS.C.8

Based on the given graph, answer the following questions: 1. Identify all the points with a negative abscissa AND a negative ordinate 2. Identify any 4 coordinates that will make a square 3. Identify points with their abscissa as zero.

• 1.A, B, C & D 2. O, X, C & F 3. E, F, L & M

• 1.G, H, I, J & K 2. O, X, C & F 3. V, W, O & X

• 1. P, Q, Y & N 2. O, V, Y & M 3. E, F, L & M

• 1. S, T, U & R 2. O, V, Y & M 3. V, W, O & X

Answer explanation

1. All the points that have a negative abscissa and ordinate lie in the third quadrant and the points in the third quadrant are S, T, U and R. 2. Points O, V, Y and M have a distance of 6 units between them and they form a perfect square. In case of O, X, C and F, it forms a rectangle and not a square. 3. Points with abscissa zero means they lie on the y-axis and points v, w and x lie on the y-axis.

Tags

CCSS.6.NS.C.6C

Find the coordinates of the vertices of a rectangle whose length and breadth are 8 and 4 units respectively, one vertex is at the origin, the longer side lies on the y-axis and one of the vertices lies in the second quadrant.

• (-4,8), (0,8), (0,0), (-4,0)

• (-4,-8), (0,-8), (0,0), (-4,0)

• (4,8), (0,8), (0,0), (4,0)

• (-4,8), (0,-8), (0,0), (-4,0)

Answer explanation

We need to find 4 coordinates, as we know rectangle has 4 vertices. It is given that 1 vertex is origin, which will be (0,0). As the longer side is on Y-axis, it can be on the positive side or the negative side. But, as we know that one of the vertex lies in the second quadrant which has the abscissa as negative and ordinate as positive, so this confirms that the longer side will be on the positive direction of Y-axis. This gives us one more point (0,8). Now from this point (0,8), we will take 4 units perpendicular towards the second quadrant. This is the third point, (-4,8). For the last point, we will take 4 points towards left from the origin which will be (-4,0). This gives us all the 4 vertices: (-4,8), (0,8), (0,0), (-4,0)

Tags

CCSS.6.G.A.3

Plot the following points and check which points are collinear : L(7,-6), M(-3,0), N(1,-3), P(-4,5), Q(0,-7) & R(1,-9)

• L(7,-6), Q(0,-7) & N(1,-3)

• L(7,-6), M(-3,0), N(1,-3), P(-4,5), Q(0,-7) & R(1,-9)

• L(7,-6), M(-3,0), Q(0,-7) & R(1,-9)

• L(7,-6), M(-3,0) & P(-4,5)

Answer explanation

After plotting the points on the graph, we can see that points L, M, Q and R lie on the same line which means they are collinear points

Tags

CCSS.6.G.A.3