Translate A Polygon On A Coordinate Grid Quiz

<p> Plot the new coordinates of Triangle `ABC` after a translation `2` units to the left and `3` units up to become Triangle `EFG`.</p><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1, "show_grid_section": true, "show_x_axis": true, "show_y_axis": true, "show_x_axis_label": true, "show_y_axis_label": true, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 2, "x": 2, "y": 6, "show_point": true, "label": "C", "label_position": "above", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 3, "x": 2, "y": 1, "show_point": true, "label": "A", "label_position": "left", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 4, "x": 6, "y": 3, "show_point": true, "label": "B", "label_position": "below", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": null, "transformation": { "type": "", "deg": 180, "original_polygon_color": "#080808", "show_indicator": "false", "transformed_polygon_color": "#FFA500", "show_polygon_number": false }, "alternative_transformation": null }'></LineGraph ></selectivedisplay>

<p> Plot the new coordinates of Triangle `ABC` after a translation `5` units to the right and `3` units down to become Triangle `EFG`.</p><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1, "show_grid_section": true, "show_x_axis": true, "show_y_axis": true, "show_x_axis_label": true, "show_y_axis_label": true, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 2, "x": 2, "y": 9, "show_point": true, "label": "A", "label_position": "above", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 3, "x": 2, "y": 4, "show_point": true, "label": "B", "label_position": "below", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 4, "x": 5, "y": 6, "show_point": true, "label": "C", "label_position": "right", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": null, "transformation": { "type": "", "deg": 180, "original_polygon_color": "#080808", "show_indicator": "false", "transformed_polygon_color": "#FFA500", "show_polygon_number": false }, "alternative_transformation": null }'></LineGraph ></selectivedisplay>

<p> Figure `ABC` becomes Figure `EFG` after the translation:</p><p> `(x, y)` `→` `(x - 3, y + 5)`</p><p> Draw Figure `EFG`.</p><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1, "show_grid_section": true, "show_x_axis": true, "show_y_axis": true, "show_x_axis_label": true, "show_y_axis_label": true, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 2, "x": 3, "y": 1, "show_point": true, "label": "A", "label_position": "left", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 3, "x": 8, "y": 1, "show_point": true, "label": "B", "label_position": "right", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 4, "x": 8, "y": -5, "show_point": true, "label": "C", "label_position": "below", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": null, "transformation": { "type": "", "deg": 180, "original_polygon_color": "#080808", "show_indicator": "false", "transformed_polygon_color": "#FFA500", "show_polygon_number": false }, "alternative_transformation": null }'></LineGraph ></selectivedisplay>

<p> Plot the new coordinates of Figure `ABCD` after a translation `5` units to the right and `9` units down to become Figure `EFGH`.</p><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1, "show_grid_section": true, "show_x_axis": true, "show_y_axis": true, "show_x_axis_label": true, "show_y_axis_label": true, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 2, "x": -3, "y": 7, "show_point": true, "label": "A", "label_position": "left", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 3, "x": -3, "y": 2, "show_point": true, "label": "B", "label_position": "left", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 4, "x": 3, "y": 2, "show_point": true, "label": "C", "label_position": "right", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true },{ "id": 5, "x": 3, "y": 7, "show_point": true, "label": "D", "label_position": "right", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": null, "transformation": { "type": "", "deg": 180, "original_polygon_color": "#080808", "show_indicator": "false", "transformed_polygon_color": "#FFA500", "show_polygon_number": false }, "alternative_transformation": null }'></LineGraph ></selectivedisplay>

<p> Plot the new coordinates of Figure `ABCD` after a translation `3` units to the left and `5` units down to become Figure `EFGH`.</p><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1, "show_grid_section": true, "show_x_axis": true, "show_y_axis": true, "show_x_axis_label": true, "show_y_axis_label": true, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 2, "x": -5, "y": 0, "show_point": true, "label": "A", "label_position": "left", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 3, "x": -6, "y": -4, "show_point": true, "label": "B", "label_position": "left", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 4, "x": -1, "y": -4, "show_point": true, "label": "C", "label_position": "right", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true },{ "id": 5, "x": 0, "y": 0, "show_point": true, "label": "D", "label_position": "right", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": null, "transformation": { "type": "", "deg": 180, "original_polygon_color": "#080808", "show_indicator": "false", "transformed_polygon_color": "#FFA500", "show_polygon_number": false }, "alternative_transformation": null }'></LineGraph ></selectivedisplay>

<p> Plot the new coordinates of Figure `ABCD` after a translation `7` units to the right and `6` units up to become Figure `EFGH`.</p><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1, "show_grid_section": true, "show_x_axis": true, "show_y_axis": true, "show_x_axis_label": true, "show_y_axis_label": true, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 2, "x": -8, "y": -6, "show_point": true, "label": "A", "label_position": "left", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 3, "x": -1, "y": -6, "show_point": true, "label": "B", "label_position": "right", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 4, "x": -1, "y": -8, "show_point": true, "label": "C", "label_position": "right", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true },{ "id": 5, "x": -8, "y": -8, "show_point": true, "label": "D", "label_position": "left", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": null, "transformation": { "type": "", "deg": 180, "original_polygon_color": "#080808", "show_indicator": "false", "transformed_polygon_color": "#FFA500", "show_polygon_number": false }, "alternative_transformation": null }'></LineGraph ></selectivedisplay>

<p> Figure `HIJK` becomes Figure `LMNO` after the translation:</p><p> `(x, y)` `→` `(x - 4, y + 3)`</p><p>Draw Figure `LMNO`.</p><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1, "show_grid_section": true, "show_x_axis": true, "show_y_axis": true, "show_x_axis_label": true, "show_y_axis_label": true, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 2, "x": -4, "y": 3, "show_point": true, "label": "H", "label_position": "left", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 3, "x": 1, "y": 3, "show_point": true, "label": "I", "label_position": "right", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 4, "x": 0, "y": -1, "show_point": true, "label": "J", "label_position": "right", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true },{ "id": 5, "x": -3, "y": -1, "show_point": true, "label": "K", "label_position": "below", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": null, "transformation": { "type": "", "deg": 180, "original_polygon_color": "#080808", "show_indicator": "false", "transformed_polygon_color": "#FFA500", "show_polygon_number": false }, "alternative_transformation": null }'></LineGraph ></selectivedisplay>

<p> Figure `GHIJ` becomes Figure `KLMN` after the translation:</p><p> `(x, y)` `→` `(x + 2, y +6)`</p><p>Draw Figure `KLMN`.</p><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1, "show_grid_section": true, "show_x_axis": true, "show_y_axis": true, "show_x_axis_label": true, "show_y_axis_label": true, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 2, "x": 2, "y": -1, "show_point": true, "label": "G", "label_position": "above", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 3, "x": 7, "y": -3, "show_point": true, "label": "H", "label_position": "right", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 4, "x": 2, "y": -5, "show_point": true, "label": "I", "label_position": "below", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true },{ "id": 5, "x": -3, "y": -3, "show_point": true, "label": "J", "label_position": "above", "highlight_point": false, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": null, "transformation": { "type": "", "deg": 180, "original_polygon_color": "#080808", "show_indicator": "false", "transformed_polygon_color": "#FFA500", "show_polygon_number": false }, "alternative_transformation": null }'></LineGraph ></selectivedisplay>