Reflect A Point Over Both Axes On A Coordinate Grid Quiz

<p> Point `G` is reflected over the `x`-axis, then reflected over the `y`-axis, to create Point `I`.</p><p> Plot Point `I`.</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": 3, "y": -2, "label": "G", "is_interactive": false, "show_point": true, "label_color": "black", "color": "black" }, { "id": 2, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "H" } ,{ "id": 3, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "I" } ], "mode": "POINT", "total_interactive_inputs": 2 }'></InteractiveGraph ></selectivedisplay>

<p> Point `A` is reflected over the `y`-axis, then reflected over the `x`-axis, to create Point `C`.</p><p> Plot Point `C`.</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": -1, "y": 3, "label": "A", "is_interactive": false, "show_point": true, "label_color": "black", "color": "black" }, { "id": 2, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "B" } ,{ "id": 3, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "C" } ], "mode": "POINT", "total_interactive_inputs": 2 }'></InteractiveGraph ></selectivedisplay>

<p> Point `A` is reflected over the `y`-axis, then reflected over the `x`-axis, to create Point `C`.</p><p> Plot Point `C`.</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": 9, "y": 7, "label": "A", "is_interactive": false, "show_point": true, "label_color": "black", "color": "black" }, { "id": 2, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "B" } ,{ "id": 3, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "C" } ], "mode": "POINT", "total_interactive_inputs": 2 }'></InteractiveGraph ></selectivedisplay>

<p> Point `M` is reflected over the `x`-axis, then reflected over the `y`-axis, to create Point `O`.</p><p> Plot Point `O`.</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": -6, "y": 7, "label": "M", "is_interactive": false, "show_point": true, "label_color": "black", "color": "black" }, { "id": 2, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "N" } ,{ "id": 3, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "O" } ], "mode": "POINT", "total_interactive_inputs": 2 }'></InteractiveGraph ></selectivedisplay>

<p> Point `D` is reflected over the `x`-axis, then reflected over the `y`-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": -9, "y": -6, "label": "D", "is_interactive": false, "show_point": true, "label_color": "black", "color": "black" }, { "id": 2, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "E" } ,{ "id": 3, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "F" } ], "mode": "POINT", "total_interactive_inputs": 2 }'></InteractiveGraph ></selectivedisplay>

<p> Point `K` is reflected over the `y`-axis, then reflected over the `x`-axis, to create Point `M`.</p><p> Plot Point `M`.</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": -7, "label": "K", "is_interactive": false, "show_point": true, "label_color": "black", "color": "black" }, { "id": 2, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "L" } ,{ "id": 3, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "M" } ], "mode": "POINT", "total_interactive_inputs": 2 }'></InteractiveGraph ></selectivedisplay>

<p> Point `E` is reflected over the `x`-axis, then reflected over the `y`-axis, to create Point `G`.</p><p> Plot Point `G`.</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": -2.5, "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" } ,{ "id": 3, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "G" } ], "mode": "POINT", "total_interactive_inputs": 2 }'></InteractiveGraph ></selectivedisplay>

<p> Point `D` is reflected over the `y`-axis, then 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": -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, "y": 4.5, "label": "D", "is_interactive": false, "show_point": true, "label_color": "black", "color": "black" }, { "id": 2, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "E" } ,{ "id": 3, "is_interactive": true, "label_color": "blue", "color": "blue", "label": "F" } ], "mode": "POINT", "total_interactive_inputs": 2 }'></InteractiveGraph ></selectivedisplay>