Question

△MNO has vertices M(8,−2), N(−15,−20) and O(−14,19). Which of the following represents the translation of △MNO along vector <7,−2> and its reflection across the y-axis?

Answer 1

Explanation:

Translation of a point along the vector <7, -2> means shifting of any point by 7 units to the right and 2 units down.

Rule for this translation → (x, y) → (x + 7, y-2)

By this rule new points will be

M(8, -2) → M'(15, -4)

N(-15, -20) → N'(-8, -22)

O(-14, 19) → O'(-7, 17)

These points are now reflected over the y-axis,

Rule for the reflection over the y-axis will be,

(x, y) → (-x, y)

New points by the given rule will be,

M'(15, 4) → M''(-15, 4)

N'(-8, -22) → N''(8, -22)

O'(-7, 17) → O''(7, 17)