Reflecting Points to Reflect Figures


Exploration

GR. 6-8

Skill:

Locate, given the coordinates of, and graph plane figures which are the results of translations or reflections in all quadrants of the coordinate plane.

Reflecting Points to Reflect Figures

Estimate the reflection of figures by reflecting one point at a time. Refine the estimate using a grid.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Question ouverte 1

When reflecting a shape across a line, what aspects of that shape’s sides or angles change? What parts stay the same?

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Question ouverte 2

The segments that connect the corresponding points of a preimage and image, always seems to intersect the line of reflection.  Describe the special type of intersection that occurs.

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Question ouverte 3

Observe the distance from a given point to the line of reflection.  Then, observe the distance from the corresponding reflected point to the line of reflection.  What do you notice about these distances?

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Question ouverte 4

Did seeing a grid make a difference in finding the reflected image? Explain why or why not.

Entrée de texte et de données mathématiques