The given points are X (−2, 1), Y (−4, −3), and Z (0, −2)
By using the rule (x − 1, y + 3) the points then become:
X′ (− 2 − 1, 1 + 3), Y′ (− 4 − 1, − 3 + 3), and Z′ ( 0 −1,
− 2 + 3)
X′ (− 3, 4), Y′ (− 5, 0), and Z′ (− 1, 1)
If the corresponding vertices of both triangles
were connected with line segments then we should get exact congruent triangles
with just x- and y-coordinates transformed or we can say that:
△XYZ=△X′Y′Z′
Answer: X′ (− 3, 4), Y′ (− 5, 0), and Z′ (− 1, 1)
