Name: _______________________________ Date: ______________________ Per.: _______ Draw a 5-sided shape in the first quadrant on the coordinate plane below. Label the vertices of the shape A, B, C, D, and E and label each vertex’s ordered pair. Call this shape Figure 1. For each reflection, draw and label the ordered pairs of the new figure in a different color. 1) Use the y-axis as a line of symmetry and draw the reflection of ABCDE in Quadrant 2. Label the reflected points A’B’C’D’E’ with the correct ordered pairs, and call this Figure 2. 2) Now, use the x-axis as the line of reflection and create Figure 3 in Quadrant 3. Label the vertex’s ordered pairs. 3) Use the y-axis one more time as the line of reflection and create Figure 4 in Quadrant 4. Label the vertex’s ordered pairs. After drawing all four figures, answer the following questions: 4) How is Figure 3 related to Figure 4? How else could you have gotten Figure 3? How else could you have found Figure 4? 5) How are the coordinates of Figure 1 related to its image in the y-axis, Figure 2? What can you say about the coordinates of Figure 4? 6) Make a conjecture about the coordinates of a shape reflected over the y-axis and a different conjecture about the coordinates of a shape reflected over the x-axis. 7) Draw lines from the vertices of Figure 1 to the corresponding vertices of Figure 2. What can you say about these lines? How is the y-axis related to each of these lines?
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