Answer:
The coordinates of ΔA''B''C'' are;
A''(-1, -3), B''(-2, -6), C''(1 , -7)
Step-by-step explanation:
A glide reflection involves the reflection of the preimage over a given line, followed by the translation of the resulting image along the given line
Given that the coordinates of the triangle ΔA'B'C' are;
A'(-4, -5), B'(-5, -2), C'(-2, -1), we have by reflection across the line y = -4
A''(-4, -4 + 1) = A''(-4, -3)
B''(-5, -4 - 2) = B''(-5, -6)
C''(-2, -4-3) = C''(-2, -7)
Translation of A''B''C'' by T 3, 0, we have;
A''(-4, -3) → T₃, ₀ → A''(-4 + 3, -3) = A''(-1, -3)
B''(-5, -6) → T₃, ₀ → B''(-5 + 3, -6) = B''(-2, -6)
C''(-2, -7) → T₃, ₀ → C''(-2 + 3, -7) = C''(1 , -7)
The coordinates of ΔA''B''C'' are therefore;
A''(-1, -3), B''(-2, -6), C''(1 , -7).
