Transformations

Transformations Reflections

Mirror line Example Reflect ABCD in the given mirror line A D C B

Example Reflect triangle PQR in the given mirror line Q R P Mirror line

Example Reflect triangle LMN in the given mirror line Mirror line L M M

Example Reflect the rectangle in the given mirror line Mirror line

Example Reflect the trapezium in the given mirror line Mirror line

y 4 3 2 1 0 x –5 –4 –3 –2 –1 1 2 3 4 5 –1 –2 –3 –4 –5 Example Reflect triangle ABC in the x axis A C B

y 4 3 2 1 0 x –5 –4 –3 –2 –1 1 2 3 4 5 –1 –2 –3 –4 –5 Example Reflect triangle DEF in the y axis E F D

y 4 3 2 1 0 x –5 –4 –3 –2 –1 1 2 3 4 5 –1 –2 –3 –4 –5 Example Reflect triangle GHK in the line x = 1 H K G

y 4 3 2 1 0 x –5 –4 –3 –2 –1 1 2 3 4 5 –1 –2 –3 –4 –5 Example Reflect triangle LMN in the line N M L

y 4 3 2 1 0 x –5 –4 –3 –2 –1 1 2 3 4 5 –1 –2 –3 –4 –5 Example Reflect triangle PQR in the line Q P R

Example • Given ABC with A(1, 3) B(1, 5) and C(4, 5), obtain the image under the following transformations in each case. • Reflection in • Reflection in • Reflection in • Reflection in

y 4 3 2 1 0 x –5 –4 –3 –2 –1 1 2 3 4 5 –1 –2 –3 –4 –5 • Example • Given ABC with A(1, 3) B(1, 5) and C(4, 5), obtain the image under the following transformations in each case. • Reflection in • Reflection in • Reflection in • Reflection in . C B A

Example Complete the object below so that it has the given two lines of symmetry.

Transformations