IM 8.1.6 Lesson: Describing Transformations

Andre performs a 90-degree counterclockwise rotation of Polygon P and gets Polygon P’, but he does not say what the center of the rotation is. Can you find the center?
Your teacher will give you either a [i]problem card[/i] or a [i]data card[/i]. Do not show or read your card to your partner.[br][br][table][tr][td]If your teacher gives you the [i]problem card[/i]:[/td][td]If your teacher gives you the [i]data card[/i]:[/td][/tr][tr][td][list=1][*]Silently read your card and think about what [/*][*]information you need to be able to answer the [br]question.[/*][*]Ask your partner for the specific information that [br]you need.[/*][*]Explain how you are using the information to [br]solve the problem.Continue to ask questions until you have enough [br]information to solve the problem.[/*][*]Share the [i]problem card [/i]and solve the problem[br]independently.[/*][*]Read the [i]data card[/i] and discuss your reasoning.[/*][/list][/td][td][list=1][*]Silently read your card.[/*][*]Ask your partner [i]“What specific information do you [br]need?”[/i] and wait for them to [i]ask[/i] for information.[br]If your partner asks for information that is not on [br]the card, do not do the calculations for them. Tell [br]them you don’t have that information.[/*][*]Before sharing the information, ask “[i]Why do you [br]need that information?[/i]” Listen to your partner’s [br]reasoning and ask clarifying questions.[/*][*]Read the [i]problem card[/i] and solve the problem independently.[/*][*]Share the [i]data card[/i] and discuss your reasoning.[/*][/list][/td][/tr][/table][br]Pause here so your teacher can review your work. Ask your teacher for a new set of cards and repeat the activity, trading roles with your partner.[br] [br]After finishing this activity, what type of information did you need to solve the problem?
Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. [br][br]Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?

IM 8.1.6 Practice: Describing Transformations

Here is Trapezoid A in the coordinate plane.
In the applet above, [list=1][*]Draw Polygon B, the image of A, using the [math]y[/math]-axis as the line of reflection.[/*][*]Draw Polygon C, the image of B, using the [math]x[/math]-axis as the line of reflection.[/*][*]Draw Polygon D, the image of C, using the [math]x[/math]-axis as the line of reflection.[/*][/list]
The point [math](-4,1)[/math] is rotated 180 degrees counterclockwise using center [math](-3,0)[/math]. What are the coordinates of the image?
Describe a sequence of transformations for which Triangle B is the image of Triangle A.
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[/img]
Draw the image of quadrilateral ABCD after each transformation. The translation that takes B to D.
Draw the image of quadrilateral ABCD after each transformation. A rotation about point A by angle DAB, counterclockwise.
Draw the image of quadrilateral ABCD after each transformation. A reflection over segment BC.

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