## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 10 Reflection Chapter Test

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 10 Reflection Chapter Test

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Question 1.

The point P (4, -7) on reflection in x-axis is mapped onto P’. Then P’ on reflection in the y-axis is mapped onto P”. Find the co-ordinates of P’ and P”. Write down a single transformation that maps P onto P”.

Solution:

Question 2.

The point P (a, b) is first reflected in the origin and then reflected in the y-axis to P’. If P’ has co-ordinates (3, -4), evaluate a, b

Solution:

Question 3.

A point P (a, b) becomes (-2, c) after reflection in the x-axis, and P becomes (d, 5) after reflection in the origin. Find the values of a, b, c and d.

Solution:

Question 4.

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 co-ordinates of the final images of the vertices.

Solution:

Question 5.

The points A (4, -11), B (5, 3), C (2, 15), and D (1, 1) are the vertices of a parallelogram. If the parallelogram is reflected in the y-axis and then in the origin, find the co-ordinates of the final images. Check whether it remains a parallelogram. Write down a single transformation that brings the above change.

Solution:

Question 6.

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:

Question 7.

The triangle OAB is reflected in the origin O to triangle OA’B’. A’ and B’ have coordinates (-3, -4) and (0, -5) respectively.

(i) Find the co-ordinates of A and B.

(ii) Draw a diagram to represent the given information.

(iii) What kind of figure is the quadrilateral ABA’B’?

(iv) Find the coordinates of A”, the reflection of A in the origin followed by reflection in the y-axis.

(v) Find the co-ordinates of B”, the reflection of B in the x-axis followed by reflection in the origin.

Solution: