Mathematics
Grade9
Easy
Question
The vertices of are A(2, 4), B(6, 0), and C(7, 2). Find coordinates of the image of after the composition of the transformations in the order they are listed.
Translation: (x, y) → (x, y - 5)
Reflection: in the y-axis
- A’’(-2, -1), B’’(-6, -5), C’’(-7, 3)
- A’’(-2, -1), B’’(-6, 5), C’’(-7, -3)
- A’’(-2, 1), B’’(-6, -5), C’’(-7, -3)
- A’’(-2, -1), B’’(-6, -5), C’’(-7, -3)
Hint:
first perform translations of each point as per given rule
and then for reflection along y axis multiply x with -1
The correct answer is: A’’(-2, -1), B’’(-6, -5), C’’(-7, -3)
Given the coordinates of triangle PQR are
P(2, 4), Q(6, 0), and R(7, 2)
Here, the translation rule is (x, y) → (x, y - 5).
A(2, 4) → A’(2, 4-5) = A’(2, -1)
B(6, 0)→ B’(6, 0-5) = B’(6, -5)
C(7, 2) → C’(7, 2- 5) =C’(7, -3)
Coordinate notation for reflection along the y-axis:
Multiply the x - coordinate by -1.
(x, y) → (-x, y)
A’(2, -1)→ A’’(-2, -1)
B’(6, -5)→ B’’(-6, -5)
C’(7, -3)→ C’’(-7, -3)
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