3.1 Sequences of Transformations

Lesson 1: Successive Reflections Across Intersecting Lines and its Equivalent

Triangle A'B'C' results from what type of transformation on triangle ABC?

Translation Reflection over red line Rotation about the origin Reflection over blue line

Triangle A"B"C" results from what type of transformation on triangle ABC?

Translation Reflection of the RED line Reflection over the BLUE line Rotation about the origin

If instead of the two reflections, we perform only a single rotation on triangle ABC. What "Rotation" angle will map ABC to A"B"C" when [math]\alpha[/math] is set to 40[sup]0[/sup]?

[math]160^0[/math] [math]80^0[/math] [math]40^0[/math] [math]120^0[/math]

If instead only a single rotation is done on triangle ABC, what "Rotation" angle will map it to A"B"C" when [math]\alpha[/math] is set to [math]156^0[/math]?

[math]312^0[/math] [math]180^0[/math] [math]66^0[/math] [math]24^0[/math]

Generally, if only a single rotation is done on triangle ABC, what Rotation angle will map it to A"B"C" when the slider is set to [math]\alpha[/math] ?

[math]\alpha[/math] [math]2\alpha[/math] [math]\frac{\alpha}{2}[/math] [math]\frac{3\alpha}{2}[/math]

3.1 Sequences of Transformations

Lesson 1: Successive Reflections Across Intersecting Lines and its Equivalent

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