Reflections Problems

<p> Point `U` is reflected over the `y`-axis to create Point `V`.</p><p> Plot Point `V`.</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><InteractiveGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1, "y_label": "" },"points": [ { "id": 1, "x": 2, "y": 2, "label": "U", "is_interactive": false, "show_point": true, "label_color": "black", "color": "black" }, { "id": 2, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "V" } ], "mode": "POINT", "total_interactive_inputs": 1 }'></InteractiveGraph ></selectivedisplay>

<p> Point `E` is reflected over the `x`-axis to create Point `F`.</p><p> Plot Point `F`.</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><InteractiveGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1, "y_label": "", "x_skip_interval": 2, "y_skip_interval": 2, "show_major_and_minor_grid_lines": false }, "points": [ { "id": 1, "x": -5, "y": -8, "label": "E", "is_interactive": false, "show_point": true, "label_color": "black", "color": "black" }, { "id": 2, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "F" } ], "mode": "POINT", "total_interactive_inputs": 1}'></InteractiveGraph ></selectivedisplay>

<p> Point `I` is reflected over the `y`-axis to create Point `J`.</p><p> Plot Point `J`.</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><InteractiveGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 15, "x_interval": 0.5, "y_interval": 0.5, "y_label": "", "x_skip_interval": 1, "y_skip_interval": 1, "show_major_and_minor_grid_lines": true }, "points": [ { "id": 1, "x": -3.5, "y": -2, "label": "I", "is_interactive": false, "show_point": true, "label_color": "black", "color": "black" }, { "id": 2, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "J" } ], "mode": "POINT", "total_interactive_inputs": 1}'></InteractiveGraph ></selectivedisplay>

<p>Point `N` `(5, 21)` is reflected over the `y`-axis. </p><p>What are the new coordinates?</p>

<p>Point `Q` `(``-15, ``-20)` is reflected over the `x`-axis. </p><p>What are the new coordinates?</p>