RS Aggarwal (2020, 2021) - GeniusJnr

On the plane of a graph paper draw X'OX and YOY' as coordinate axes and plot each of the following points.
(i) A(5, 3)
(ii) B(6, 2)
(iii) C(–5, 3)
(iv) D(4, –6)
(v) E(–3, –2)
(vi) F(–4, 4)
(vii) G(3, –4)
(viii) H(5, 0)
(ix) I(0, 6)
(x) J(–3, 0)
(xi) K(0, –2)
(xii) O(0, 0)

Write down the coordinates of each of the points A, B, C, D, E shown below:

For each of the following points, write the quadrant in which it lies
(i) (–6, 3)
(ii) (–5, –3)
(iii) (11, 6)
(iv) (1, –4)
(v) (–7, –4)
(vi) (4, –1)
(vii) (–3, 8)
(viii) (3, –8)

Write the axis on which the given point lies.
(i) (2, 0)
(ii) (0, –5)
(iii) (–4, 0)
(iv) (0, –1)

Which of the following points lie on the x-axis?
(i) A(0, 8)
(ii) B(4, 0)
(iii) C(0, –3)
(iv) D(–6, 0)
(v) E(2, 1)
(vi) F(–2, –1)
(vii) G(–1, 0)
(viii) H(0, –2)

Plot the points A(2, 5), B(–2, 2) and C(4, 2) on a graph paper. Join AB, BC and AC. Calculate the area of ∆ABC.

Three vertices of a rectangle ABCD are A(3, 1), B(–3, 1) and C(–3, 3). Plot these points on a graph paper and find the coordinates of the fourth vertex D. Also, find the area of rectangle ABCD.

What is the difference between a theorem and an axiom?

Define the following terms:
(i) Line segment
(ii) Ray
(iii) Intersecting lines
(iv) Parallel lines
(v) Half line
(vi) Concurrent lines
(vii) Collinear points
(viii) Plane

In the adjoining figure, name
(i) six points
(ii) five lines segments
(iii) four rays
(iv) four lines
(v) four collinear points

In the adjoining figure, name:
(i) two pairs of intersecting lines and their corresponding points of intersection
(ii) three concurrent lines and their points of intersection
(iii) three rays
(iv) two line segments

From the given figure, name the following:
(a) Three lines
(b) One rectilinear figure
(c) Four concurrent points