Reflections
By David Kwan
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Last updated about 7 years ago
10 Questions
Note from the author:
This Formative is by: Brian Gervase
This mini lesson introduces students to the formal definition of a reflection. Students have the opportunity to play with reflections in a guided fashion using Geogebra applets.
The image of a reflection is congruent to the preimage.
The image of a reflection is congruent to the preimage.
Which line above is considered the 'mirror' in this reflection?
Which line above is considered the 'mirror' in this reflection?
A reflection over a mirror is the same as a 180 degree rotation about a point on the mirror.
A reflection over a mirror is the same as a 180 degree rotation about a point on the mirror.
Choose all statements below that are true.
Choose all statements below that are true.
Consider a line on your desk and a point P. Explain how you would find P' , the image of P reflected over the line on your desk. Be specific about what you would have to measure in order to locate P'.
Consider a line on your desk and a point P. Explain how you would find P' , the image of P reflected over the line on your desk. Be specific about what you would have to measure in order to locate P'.
Use a graph board or Geogebra in another window to visualize and find the indicated point.
Enter the coordinates of P' which is the reflection of P(3,5) over the y-axis.
Enter your answer with no spaces in the form (a,b).
Use a graph board or Geogebra in another window to visualize and find the indicated point.
Enter the coordinates of P' which is the reflection of P(3,5) over the y-axis.
Enter your answer with no spaces in the form (a,b).
Use a graph board or Geogebra in another window to visualize and find the indicated point.
Enter the coordinates of P' which is the reflection of P(3,5) over the x-axis.
Enter your answer with no spaces in the form (a,b).
Use a graph board or Geogebra in another window to visualize and find the indicated point.
Enter the coordinates of P' which is the reflection of P(3,5) over the x-axis.
Enter your answer with no spaces in the form (a,b).
Use a graph board or Geogebra in another window to visualize and find the indicated point.
Enter the coordinates of P' which is the reflection of P(3,5) over the line y = x.
Enter your answer with no spaces in the form (a,b).
Use a graph board or Geogebra in another window to visualize and find the indicated point.
Enter the coordinates of P' which is the reflection of P(3,5) over the line y = x.
Enter your answer with no spaces in the form (a,b).
Use a graph board or Geogebra in another window to visualize and find the indicated point.
Enter the coordinates of P' which is the reflection of P(1,-2) over the line -x + 3y = 3.
Enter your answer with no spaces in the form (a,b).
Hint: Make a GOOD accurate sketch of this and use the coordinate grid to your advantage! This one requires some thought and a close attention to details.
Use a graph board or Geogebra in another window to visualize and find the indicated point.
Enter the coordinates of P' which is the reflection of P(1,-2) over the line -x + 3y = 3.
Enter your answer with no spaces in the form (a,b).
Hint: Make a GOOD accurate sketch of this and use the coordinate grid to your advantage! This one requires some thought and a close attention to details.
Write about what you have learned about reflections. Be sure to incorporate specific mathematical measurements that are the key to ensuring a proper reflection.
Write about what you have learned about reflections. Be sure to incorporate specific mathematical measurements that are the key to ensuring a proper reflection.