#### A (4, -1), B (0, 7) and C (-2, 5) are the vertices of a triangle. ∆ABC is reflected in the y-axis and then reflected in the origin. Find the coordinates of the final images of the vertices.

**Solution:**

#### Use a graph paper for this question (take 2 cm = 1 unit on both x and y axes).

(i) Plot the following points:

A (0, 4), B (2, 3), C (1, 1) and D (2, 0).

(ii) Reflect points B, C, D on the y-axis and write down their coordinates. Name the images as B’, C’, D’ respectively.

(iii) Join points A, B, C, D, D’, C’, B’ and A in order, so as to form a closed figure. Write down the equation of line of symmetry of the figure formed. (2017)

**Solution:**

**More Solutions:**

- Use graph paper for this question.
- AB is a diameter of a circle with centre C (-2, 5).
- The line segment joining A(-1, 5/3) the points B (a, 5).
- In what ratio does the point (5, 4) divide the line segment.
- If A (-4, 3) and B (8, -6), find the length of AB.
- The ratio in which the line segment joining (3, 4) and(-2, 1).