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Line BC reflects about a line such that N is the reflection of B and O is the reflection of C. Point N is shown on the coordinate plane, but point O is not. What will the coordinates of point O be?

(1, 5)

(3, 5)

(5, 5)

(6, 5)

(5,5)

(3,5)

Verified Answer :

HomertheGenius

If the line BC reflects about a line and point N( 3, 5 ) is the reflection of point B ( 3 , 7 ) then the reflection of C ( 5, 7 ) is O ( 5 , 5 ).
Answer: C ) ( 5, 5 ) 

Answer:

(5,5)

Step-by-step explanation:

Given that B has coordinates as (3,7) When reflected about a line the new coordinates are (3,5)

This implies that by reflection x coordinate remains the same but y reduced by 2 units.

Apply the same logic for unknown O.

C is reflected to O.

Original coordinates of C are (5,7)

Hence new coordinates i.e. that of O would be

x coordinate same as 5

y coordinate 2 less = 7-2 = 5

COordinates of O are (5,5)

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