Plot the points A (2, -3), B (-1, 2) and C (0, -2) on the graph paper. Draw the triangle formed by reflecting these points in the x-axis. Are the two triangles congruent?

Open in App

Solution

The points A (2, -3), B (-1, 2) and C(0, -2) has been plotted on the graph paper as shown and are joined to form a triangle ABC.
Hence, the co-ordinates of the images of A, B and C reflected in x-axis will be A’ (2, 3), B’ (-1, -2), C’ (0, 2) respectively.
And, these are joined to from another ∆ A’B’C’
Yes, these two triangles are congruent.

Suggest Corrections

Similar questions

Q. Draw the graph of two lines, whose equations are 3x − 2y + 6 = 0 and x + 2y − 6 = 0 on the same graph paper. Find the area of triangle formed by the two lines and x-axis.

On a graph paper, plot the triangle ABC, whose vertices are at the points A (3, 1), B(5, 0) and C (7, 4).

On the same diagram, draw the image of the triangle ABC under reflection in the origin O (0, 0).

(i) Plot the points A (3, 5) and B (-2, -4). Use 1 cm = 1 unit on both the axes.

(ii) A' is the image of A when reflected in the x-axis. Write down the co-ordinates of A' and plot it on the graph paper.

(iii) B' is the image of B when reflected in the y-axis, followed by reflection in the origin. Write down the co-ordinates of B' and plot it on the graph paper.

(iv) Write down the geometrical name of the figure AA'BB'.

(v) Name two invariant points under reflection in the x-axis.

Q. Draw the graphs of the following linear equations on the same graph paper:
2x + 3y = 12, x − y = 1

Find the coordinates of the vertices of the triangle formed by the two straight lines and the area bounded by these lines and x-axis.

Q. Draw the graphs of the following equations on the same graph paper.

2x + 3y = 12,
x − y = 1

Find the coordinates of the vertices of the triangle formed by the two straight lines and the y-axis.

Join BYJU'S Learning Program