Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 8 - Reflection [Latest edition]

State the co-ordinates of the images of the following point under reflection in the x-axis :

(3 , -9)

State the co-ordinates of the images of the following point under reflection in the x-axis:

(-7, 5)

State the co-ordinates of the images of the following point under reflection in the x-axis:

(0, 6)

State the co-ordinates of the images of the following point under reflection in the x-axis:

(-4,-8)

State the co-ordinates of the images of the following point under reflection in the y-axis:

(2, 8)

State the co-ordinates of the images of the following point under reflection in the y-axis:

(-1,-3)

State the co-ordinates of the images of the following point under reflection in the y-axis:

(-5,-6)

State the co-ordinates of the images of the following point under reflection in the y-axis:

(-4, 7)

State the co-ordinates of the images of the following point under reflection in the origin:

(-1,-4)

State the co-ordinates of the images of the following point under reflection in the origin:

(2, 7)

State the co-ordinates of the images of the following point under reflection in the origin:

(0, 2)

State the co-ordinates of the images of the following point under reflection in the origin:

(9,-9)

P' is the image of P under reflection in the x-axis. If the co-ordinates of P' are (2, 10), write the co-ordinates of P.

S' is the image of S under reflection in the origin. If the co-ordinates of S are (2,-5), write the co-ordinates of S'.

A point P is reflected in the x-axis. Co-ordinates of its image are (8, −6). Find the co-ordinates of P. Find the co-ordinates of the image of P under reflection in the y-axis.

A point R (3,-2) is reflected in the origin as R'. Point Q (-7, 1) is reflected in the x-axis as Q'. Write down the co-ordinates of R' and Q'. Calculate the distance R' Q'.

The points B and C have the co-ordinates (3, 2) and (0, 3). Find B', the image of B under the reflection in the x-axis and C', the image of C under the reflection in the line BB'.

A point P is mapped onto P' under the reflection in the x-axis. P' is mapped onto P" under the reflection in the origin. If the co-ordinates of 

P" are (5,-2), write down the co-ordinates of P. State the single transformation that takes place.

Write down the co-ordinates of the image of the point (-2, 4) under reflection in the origin and under reflection in the y-axis. What is the distance between the points of reflection?

A triangle ABC lies in the co-ordinate plane. The co-ordinates of its vertices are A (2, 3), B ( 4,-4) and C (6 ,-7). This triangle is reflected in the line y=O onto LA'B'C'. LA'B'C' is then reflected in the origin ontolA"B"C". Write down the co-ordinates of LA'B'C' and LA "B" C".

A point P (-8, 1) is reflected in the x-axis to the point P'. The point P' is  then reflected in the origin to point P". Write down the co-ordinates of P". State the single transformation that maps P into P".

Perform the following operation and state the single transformation that take place  : 

M_x .M_y on P (2,-5) 

Perform the following operation and state the single transformation that take place  : 

M_y.M_o on A (-7, 3) 

Perform the following operation and state the single transformation that take place  : 

 M_o.M_y on B (4, 6) 

Perform the following operation and state the single transformation that take place  :

 M_x . M_o on P (-1,-3) 

Find the co-ordinates of the image of A (-5, 4) after reflection in the line

y = 0

Find the co-ordinates of the image of A (-5, 4) after reflection in the line

y = 4

Find the co-ordinates of the image of S(4,-1) after reflection in the line

x = 0

Find the co-ordinates of the image of S(4,-1) after reflection in the line

y = 5

The points P (1,-1 ), Q ( 4,-1) and R ( 4, 3) are reflected in y-axis. If the images are denoted byP' , Q' , and R' , then 

(i) Find the co-ordinates of P'Q'R' , Q' and R' 

(ii) What kind of figure is formed by RR' Q' Q? 

(iii) Find the perimeter of the figure P'Q'R' 

Point A (1 , -5) is mapped as A' on rflection in the line y = 1. The point B (-5 , 1) is mapped as B' on reflection in the line y = 4. Write the co-ordinaes of A' and B' . Calculate AB'.

Point A ( 4,-1) is reflected as A' in the line x= 1. Point B on reflection in the line y=3 is mapped as B' (6,-1). Write the co-ordinates of A' and B. Write the co-ordinates of mid.-ooint of the line sgment A' B'.