Reflect A Line Segment On A Coordinate Grid Problems

<p>Segment `DE` is reflected over the `y`-axis to create Segment `FG`.</p><p>Plot Segment `FG`.</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, "is_interactive": false, "label": "D", "label_color": "black", "x": "3", "y": "-4", "color": "black" ,"label_position":"top" }, { "id": 2, "is_interactive": false, "label": "E", "label_color": "black", "x": "9", "y": "-4", "color": "black" ,"label_position":"top" }, { "id": 3, "is_interactive": true, "label": "F", "label_color": "black", "color": "blue" }, { "id": 4, "is_interactive": true, "label": "G", "label_color": "black", "color": "blue" } ], "line_segments": [ { "first_point_id": 1, "second_point_id": 2, "is_segment": true, "color": "black" }, { "first_point_id": 3, "second_point_id": 4, "is_segment": true, "color": "blue" } ], "total_interactive_inputs": 2, "mode": "SEGMENT"}'></InteractiveGraph ></SelectiveDisplay>

<p>Segment `AB` is reflected over the `x`-axis to create Segment `CD`.</p><p>Plot Segment `CD`.</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, "x_skip_interval": 1, "y_skip_interval": 1, "show_major_and_minor_grid_lines": true, "y_label": "" }, "points": [ { "id": 1, "is_interactive": false, "label": "A", "label_color": "black", "x": "-3.5", "y": "3", "color": "black","label_position":"top" }, { "id": 2, "is_interactive": false, "label": "B", "label_color": "black", "x": "-1.5", "y": "3", "color": "black" ,"label_position":"top" }, { "id": 3, "is_interactive": true, "label": "C", "label_color": "black", "color": "blue" }, { "id": 4, "is_interactive": true, "label": "D", "label_color": "black", "color": "blue" } ], "line_segments": [ { "first_point_id": 1, "second_point_id": 2, "is_segment": true, "color": "black" }, { "first_point_id": 3, "second_point_id": 4, "is_segment": true, "color": "blue" } ], "total_interactive_inputs": 2, "mode": "SEGMENT"}'></InteractiveGraph ></SelectiveDisplay>

<p>Segment `CD` is reflected over the `x`-axis to create Segment `EF`.</p><p>Plot Segment `EF`.</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, "x_skip_interval": 1, "y_skip_interval": 1, "show_major_and_minor_grid_lines": true, "y_label": "" }, "points": [ { "id": 1, "is_interactive": false, "label": "C", "label_color": "black", "x": "-4", "y": "3", "color": "black" }, { "id": 2, "is_interactive": false, "label": "D", "label_color": "black", "x": "-1", "y": "-4", "color": "black" }, { "id": 3, "is_interactive": true, "label": "E", "label_color": "black", "color": "blue" }, { "id": 4, "is_interactive": true, "label": "F", "label_color": "black", "color": "blue" } ], "line_segments": [ { "first_point_id": 1, "second_point_id": 2, "is_segment": true, "color": "black" }, { "first_point_id": 3, "second_point_id": 4, "is_segment": true, "color": "blue" } ], "total_interactive_inputs": 2, "mode": "SEGMENT"}'></InteractiveGraph ></SelectiveDisplay>