The endpoints of 𝑀𝑁 are M (7, 9) and N (2, 5). A reflection of 𝑀𝑁 results in the image 𝑆𝑇, with coordinates S (7, -9) and T (2, -5). Tell which axis 𝑀𝑁 was reflected in and write the coordinate rule for the reflection.

The vertices of △ 𝑃𝑄𝑅 are P (1, 0), B (5, 5), and C
(5, 0). A translation of results in the image △ 𝐿𝑀𝑁 with vertices L (-1, 3), M (3, 8), and N (3, 3). Describe the translation in words and in coordinate notation.

The vertices of △ 𝐴𝐵𝐶 are A (2, 4), B (1, 1), and C (5,1). A translation of △ 𝐴𝐵𝐶 results in the image △𝑃𝑄𝑅 with vertices P (3, 2), Q (2, -1), and R (6, -1). Describe the translation in words and in coordinate notation.

Use a reflection in the x – axis to draw the other half of the pattern.

A field is in the shape of a trapezium whose parallel sides are 90m and 30m. These sides meet third side at right angle. The length of the fourth side is 100m.If it costs Rs 4 to ploughing the field. Find the total cost of ploughing the field.

If angle A and angle B of △ ABC are congruent with corresponding angles X and Y of △
XYZ respectively, then

Use a reflection in the Y-axis to draw the other half of the pattern

Identify the transformation and find the values of a and b.

What is one possible solution to the equation above?

Note:
Instead of using the quadratic formula, we could also use middle term factorization to solve the quadratic equation 
in the following way:


Thus we get values of x = 2 or 3 .

(𝑥, 𝑦) → (−𝑥, 𝑦) represents

Here, AD ∥ BC
Identify the congruent triangles and congruent corresponding parts. Write the congruence properties or theorems used.

Find the co-ordinates of an image of the point (-5, -8) after reflection about Y-axis

A field is in the shape of a trapezium whose parallel sides are 25m and 10m. The non parallel sides are 14m and 13m, find the area.

Find  the co-ordinates of an image of the point (1, 2) after reflection about X-axis.

Figure PQR has the vertices P (3, 3), Q (5, 5), R (8, 3). Find co-ordinates of its image ABC after the translation (x, y) → (x + 4, y - 4)

Figure PQRS has the vertices P (14, 3), Q (12, 4), R (11, 3), and S (13, 2). Find co-ordinates of its image ABCD after the translation (x, y) → (x + 2, y - 5).