L3 Two Reflections
Completion requirements
Unit A: Geometry
Chapter 2: Transformations
Two Reflections
It is also possible to apply two reflections to a shape. The object is first reflected in one axis and then the resulting image is reflected in the second axis.
Reflect quadrilateral PQRS in the x-axis and then in the y-axis. State the coordinates of each vertex of the final image, quadrilateral P"Q"R"S".
Step 1: Reflect quadrilateral PQRS in the x-axis.
Step 2: Reflect quadrilateral P'Q'R'S' in the y-axis.
The coordinates of quadrilateral P"Q"R"S" are P"(–3, –4), Q"(–7, –8), R"(–8, –7), S"(–7, –2) after the two reflections have been applied.
Step 2: Reflect quadrilateral P'Q'R'S' in the y-axis.
The coordinates of quadrilateral P"Q"R"S" are P"(–3, –4), Q"(–7, –8), R"(–8, –7), S"(–7, –2) after the two reflections have been applied.