Dilate Triangles On A Coordinate Grid Quiz

<p>Dilate Triangle `QRS` with a scale factor of `3` to create Triangle `TUV`.</p><p>Use the origin as the center of dilation.</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 1, "x": -1, "y": 0, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "Q" }, { "id": 2, "x": -3, "y": -2, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "R" }, { "id": 3, "x": -1, "y": -3, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "S" } ], "line_segments": [ { "first_point_id": 1, "second_point_id": 2, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 2, "second_point_id": 3, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 3, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" } ]}'></LineGraph ></selectivedisplay>

<p>Dilate Triangle `UVW` with a scale factor of `2` to create Triangle `XYZ`.</p><p>Use the origin as the center of dilation.</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 1, "x": -4, "y": 1, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "U" }, { "id": 2, "x": 4, "y": 2, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "V" }, { "id": 3, "x": 1, "y": 0, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "W", "label_position":"below" } ], "line_segments": [ { "first_point_id": 1, "second_point_id": 2, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 2, "second_point_id": 3, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 3, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" } ]}'></LineGraph ></selectivedisplay>

<p>Dilate Triangle `ABC` with a scale factor of `2.5` to create Triangle `DEF`.</p><p>Use the origin as the center of dilation.</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 1, "x": -2, "y": 4, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "A" }, { "id": 2, "x": 2, "y": 2, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "B" }, { "id": 3, "x": -2, "y": -4, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "C" } ], "line_segments": [ { "first_point_id": 1, "second_point_id": 2, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 2, "second_point_id": 3, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 3, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" } ]}'></LineGraph ></selectivedisplay>

<p>Dilate Triangle `ABC` with a scale factor of `0.5` to create Triangle `DEF`.</p><p>Use the origin as the center of dilation.</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 1, "x": -6, "y": 10, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "A" }, { "id": 2, "x": 8, "y": 10, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "B" }, { "id": 3, "x": 8, "y": 0, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "C" } ], "line_segments": [ { "first_point_id": 1, "second_point_id": 2, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 2, "second_point_id": 3, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 3, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" } ]}'></LineGraph ></selectivedisplay>

<p>Dilate Triangle `ABC` with a scale factor of `1.5` to create Triangle `DEF`.</p><p>Use the origin as the center of dilation.</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 1, "x": -4, "y": 4, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "A" }, { "id": 2, "x": 2, "y": 2, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "B" }, { "id": 3, "x": 0, "y": -4, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "C" } ], "line_segments": [ { "first_point_id": 1, "second_point_id": 2, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 2, "second_point_id": 3, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 3, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" } ]}'></LineGraph ></selectivedisplay>

<p>Dilate Triangle `ABC` with a scale factor of `0.75` to create Triangle `DEF`.</p><p>Use the origin as the center of dilation.</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 1, "x": 4, "y": 4, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "A" }, { "id": 2, "x": 0, "y": -8, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "B" }, { "id": 3, "x": -4, "y": 0, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "C" } ], "line_segments": [ { "first_point_id": 1, "second_point_id": 2, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 2, "second_point_id": 3, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 3, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" } ]}'></LineGraph ></selectivedisplay>

<p>Dilate Triangle `ABC` with a scale factor of `1/2` to create Triangle `DEF`.</p><p>Use the origin as the center of dilation.</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'> <LineGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 20, "x_interval": 0.5, "y_interval": 0.5, "x_skip_interval": 1, "y_skip_interval": 1, "show_major_and_minor_grid_lines":true }, "points": [ { "id": 1, "x": -3, "y": 0, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "A" }, { "id": 2, "x": 5, "y": 5, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "B" }, { "id": 3, "x": 0, "y": -4, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "C" } ], "line_segments": [ { "first_point_id": 1, "second_point_id": 2, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 2, "second_point_id": 3, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 3, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" } ]}'></LineGraph ></selectivedisplay>

<p>Dilate Triangle `ABC` with a scale factor of `1.25` to create Triangle `DEF`.</p><p>Use the origin as the center of dilation.</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'> <LineGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 20, "x_interval": 0.5, "y_interval": 0.5, "x_skip_interval": 1, "y_skip_interval": 1, "show_major_and_minor_grid_lines":true }, "points": [ { "id": 1, "x": 2, "y": 4, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "A" }, { "id": 2, "x": 0, "y": -2, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "B" }, { "id": 3, "x": -2, "y": 2, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "label": "C" } ], "line_segments": [ { "first_point_id": 1, "second_point_id": 2, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 2, "second_point_id": 3, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" }, { "first_point_id": 3, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "highlight_line": "black" } ]}'></LineGraph ></selectivedisplay>