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

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Presentation transcript:

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

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

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.