Question below:

Question

Points A (3,3), B (9,-1) and C (-1,-5) are the vertices of a triangle. What are the coordinates A', B' and C' that result from reflecting the triangle across the y-axis and translating it 5 units left?

Answer 1

We'll tackle this problem one transformation at a time. If points are reflected across the y-axis, then their x-coordinates change to the opposite, while their y-coordinates stay the same. Applying this to the three vertices of the triangle, A' now becomes ( -3,3), B' becomes ( -9, -1) and C' becomes ( 1, -5 ).

Now if those points are then translated 5 units to the left, then we need to decrease each x-coordinate by 5 units ( in other words, subtract 5 from each x-coordinate). So A' becomes ( -8, 3 ), B' becomes ( -14, -1 ) and C' becomes ( -4 , -5 ). These are the final coordinates for each vertex of the transformed triangle.