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Point a (2, -4) is Reflected in Origin as A’. Point B (- 3, 2) is Reflected on X-axis as B’. (I) Write the Co-ordinates of A’. (Ii) Write the Co-ordinates of B’. (Iii) Calculate the Distance A’B’. - Mathematics

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Question

Point A (2, -4) is reflected in origin as A’. Point B (- 3, 2) is reflected on X-axis as B’.
(i) Write the co-ordinates of A’.
(ii) Write the co-ordinates of B’.
(iii) Calculate the distance A’B’.
Give your answer correct to 1 decimal place, (do not consult tables).

Graph

Solution


(i) A' → (-2, 4).
(ii) B' → (-3, -2).
(iii) Distance A'B' 
= `sqrt((-3 + 2)^2 + (-2 -4)^2)`
= `sqrt(1 + 36)`
= `sqrt(37)`
= 6.1

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Reflection of a Point in the Origin.
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Chapter 7: Reflection - Exercise 3

APPEARS IN

ICSE Mathematics [English] Class 10
Chapter 7 Reflection
Exercise 3 | Q 11

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