a) Reflection points Q'R'S'T' are as follows:
Q' ( -2, -1 )
R' ( -7, 1 )
F' ( -6, -2 )
G' ( -1, -4 )
b) Translation points Q''R''S''T'' as follows
Q'' ( -1, -8 )
R'' ( 4, -6 )
F'' ( 3, -9 )
G'' ( -2, -11 )
Given data
Q(2, -1),
R(7, 1),
S(6, -2),
T(1, -4).
How to find the reflection in the y axis
The reflection in y axis is gotten by changing the signs of the x instance:
Reflecting across y axis is done for example A ( x, y ) to AA
AA will be ( -x, y ).
a) Using this procedure we get reflection points Q'R'S'T' as follows
Q ( 2, -1 ) ⇒ Q' ( -2, -1 )
R ( 7, 1 ) ⇒ R' ( -7, 1 )
S ( 6, -2 ) ⇒ F'' ( -6, -2 )
T ( 1, -4 ) ⇒ G'' ( -1, -4 )
How to find the translation ( x - 3, y - 7)
Translation about a given value is done as follows say point B ( 5, 10 ) and the translation of ( x - 2, y - 3 ) the new points will be
BB ( 5 - 2, 10 - 3 ) = BB ( 3, 7)
b) Using this procedure we get translation points Q''R''S''T'' as follows
Q ( 2, -1 ) ⇒ Q'' ( -1, -8 )
R ( 7, 1 ) ⇒ R'' ( 4, -6 )
S ( 6, -2 ) ⇒ F' ( 3, -9 )
T ( 1, -4 ) ⇒ G' ( -2, -11 )
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