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The Points P (1,-1 ), Q ( 4,-1) and R ( 4, 3) Are Reflected in Y-axis. - Mathematics

Sum

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' 

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Solution

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

The co-ordinates are: P'Q'R' = (-1,-l );Q' = (-4,-l );R' = (-4, 3) 

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

A rectangle is formed by RR' Q' Q. 

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

The figure is a right angled triangle with sides 4 units, 3 units and 5 units. 
Here, height= 4 units, base = 3 units and 

Hypotenuse = `(sqrt 4^2 + 3^2)`

= `sqrt (16 + 9)`

= `sqrt 25`

= 5 units

Perimeter = height+ base + hypotenuse 

= 4 + 3 + 5 

= 12 units 

Concept: Reflection Examples
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APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 8 Reflection
Exercise 8.1 | Q 17
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