1. Studying a Reflection

2. Create a reflection Place the Communicator ® on top of the Transformation Grid and Chart template Locate the three vertices: A(1,0), B(2, 3), and C(4, 2). Draw the line segments between these points to create a triangle. Reflect the triangle over the x-axis. You may flip the communicator to help you perform this reflection. A B C A B C

3. Create a reflection Read the coordinates for the reflected triangle and record them in the chart. Record the coordinates for the original figure and the transformed figure in the chart. Study the coordinates and describe how the which coordinates are staying the same and which are changing. If (7,8) were a point on the original picture, what would it be after it was reflected over the x-axis? A B C A B C

4. Create a reflection Complete the following statement: When a figure is reflected over the x-axis the __________ coordinates do not change, but the ______ coordinates do change. Complete this statement: If a figure is reflected over the x- axis then only the _______ coordinate changes. A B C A B C

5. Create a reflection Write a description on how the coordinates are changing if the figure is reflected over the x-axis. (x, y)=> (___,___) Explain why this transformation makes sense. A B C A B C

6. Create a reflection Place the Communicator ® on top of the Transformation Grid and Chart template Locate the three vertices: A(-4,1), B(-3, 4), and C(-1, 3). Draw the line segments between these points to create a triangle. Reflect the triangle over the x-axis. You may flip the communicator to help you perform this reflection. A B C A B C

7. Create a reflection Read the coordinates for the reflected triangle and record them in the chart. Study the coordinates and describe how the which coordinates are staying the same and which are changing. If (-7,4) were a point on the original picture, what would it be after it was reflected over the x-axis? A B C A B C

8. Create a reflection Complete the following statement: When a figure is reflected over the x-axis the __________ coordinates do not change, but the ______ coordinates do change. Complete this statement: If a figure is reflected over the x- axis then only the _______ coordinate changes. A B C A B C

9. Create a reflection Write a description on how the coordinates are changing if the figure is reflected over the x-axis. (x, y)=> (___,___) Explain why this transformation makes sense. A B C A B C

10. Create a reflection Place the Communicator ® on top of the Transformation Grid and Chart template Locate the three vertices: A(-3, 1), B(-4,3), and C(-1, 2). Reflect this figure over the y-axis. You may flip the communicator to help you perform this reflection. A B C A B C A B C

11. Create a reflection Study the transformation at the right. The green triangle is the original. The red triangle is the transformed triangle. Record the coordinates for the original figure and the transformed figure in the chart. Study the coordinates and describe how the which coordinates are staying the same and which are changing. If (2,1) were a point on the original picture, what would it be after it was reflected over the y-axis? A B C A B C

12. Create a reflection Complete the following statement: When a figure is reflected over the y-axis the __________ coordinates do not change, but the ______ coordinates do change. Complete this statement: If a figure is reflected over the y-axis then only the _______ coordinate changes. A B C A B C

13. Create a reflection Write a description on how the coordinates are changing if the figure is reflected over the y-axis. (x, y)=> (___,___) Explain why this transformation makes sense. A B C A B C

14. Create a double reflection Place the Communicator ® on top of the Transformation Grid and Chart template Locate the three vertices: A(-4,-1), B(-3, -4), and C(-1, -3). Draw the line segments between these points to create a triangle. Reflect the triangle over the x-axis. You may flip the communicator to help you perform this reflection. Then reflect the image over the y-axis. A B C A B C A B C

15. Create a reflection Study the transformation at the right. The green triangle is the original. The red triangle is the transformed triangle. Record the coordinates for the original figure and the transformed figure in the chart. Study the coordinates and describe how the which coordinates are staying the same and which are changing. If (2,1) were a point on the original picture, what would it be after it was reflected over the x-axis and then over the y- axis? A B C A B C A B C

16. Create a reflection Complete the following statement: When a figure is reflected over the x-axis and then over the y-axis __________ coordinates change. Complete this statement: If a figure is reflected over the x-axis and then over the y-axis … A B C A B C A B C

17. Create a reflection Write a description on how the coordinates are changing if the figure is reflected over the x-axis first and then over the y-axis. (x, y)=> (___,___) Explain why this transformation makes sense. A B C A B C A B C

18. Create a reflection If the blue triangle is a reflection of the red triangle, what type of reflection took place? If (-3,1) is on the red triangle what is the corresponding point on the blue triangle? Complete the statement: (x,y)=>(___,___) for this reflection. A B C A B C

19. Create a reflection If the blue triangle is a reflection of the green triangle, what type of reflection took place? If (5,1) is on the red triangle what is the corresponding point on the blue triangle? Complete the statement: (x,y)=>(___,___) for this reflection. A B C A B C