4 1 Translations Warm Up Maintaining Mathematical Proficiency

4. 1 Translations Warm Up Maintaining Mathematical Proficiency: Find the value of ¡. Hint: Auxilary Line

4. 1 Translations Rigid Motions aka Transformations – A translation, reflection, rotation, dilation, or any combination of these that changes the position or size of a figure. Translation - Moves every point of a figure the same distance in the same direction. 1) Complete the warmup exercises on graph number 1.

4. 1 Translations 2) A) B) Preimage A – The figure before the transformation. Image A' - The figure after the transformation.

4. 1 Translations Learning Check 3) A) Preimage A – The figure before the transformation. Image A' - The figure after the transformation. B'(-9, 9) D(12, -7) B)

4. 1 Translations Vector – a quantity that has both a magnitude and a direction. On the Cartestian Plane it is represented by an arrow drawn from one point to another. 4) Name the vector and write its component form.

4. 1 Translations • Vector – a quantity that has both a magnitude and a direction. On the Cartestian Plane it is represented by an arrow drawn from one point to another. • 5) In the diagram name the vector and write its component form.

4. 1 Translations 6) Learning Check: In the diagram name the vector and write its component form.

4. 1 Translations 7) Translations Using a Vector:

4. 1 Translations 8) Learning Check:

4. 1 Translations 9) Writing Rules for Translations:

4. 1 Translations 10) Learning Check:

4. 1 Translations 11) Composition of Transformations - The combination of 2 or more transformations. Describe the composition of transformations.

4. 1 Translations 12) Mathematical Connections: A translation maps the blue figure to the red figure. Find the Value of each variable.

4. 1 Translations Learning Check: A translation maps the blue figure to the red figure. Find the Value of each variable.