Rotations Problems

<p> What are the direction and angle of rotation from Triangle `ABC` to Triangle `PQR``?` <selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'> <br><highlight data-color="#666" data-style="italic">Interactive: The students click to rotate the figure by 90° in either direction, then enter their answer.</highlight> <InteractiveGraph data-props='{ "options": { "cell_size": 20, "x_skip_interval": 1, "y_skip_interval": 1, "y_min": -10, "x_min": -10, "y_max": 10, "x_max": 10 }, "points": [ { "id": 1, "x": 3, "y": -3, "label": "A", "label_rotated": "P" }, { "id": 2, "x": 7, "y": -3, "label": "B", "label_rotated": "Q" }, { "id": 3, "x": 5, "y": -4, "label": "C", "label_rotated": "R" } ], "angle": -180, "mode": "ROTATE" }'></InteractiveGraph ></selectivedisplay>

<p> What are the direction and angle of rotation from Triangle `ABC` to Triangle `PQR``?` <selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'> <br><highlight data-color="#666" data-style="italic">Interactive: The students click to rotate the figure by 90° in either direction, then enter their answer.</highlight> <InteractiveGraph data-props='{ "options": { "cell_size": 20, "x_skip_interval": 1, "y_skip_interval": 1, "y_min": -10, "x_min": -10, "y_max": 10, "x_max": 10 }, "points": [ { "id": 1, "x": 4, "y": -4, "label": "A", "label_rotated": "P" }, { "id": 2, "x": 7, "y": -4, "label": "B", "label_rotated": "Q" }, { "id": 3, "x": 6, "y": -8, "label": "C", "label_rotated": "R" } ], "angle": -90, "mode": "ROTATE" }'></InteractiveGraph ></selectivedisplay>

<p> What are the direction and angle of rotation from Triangle `ABC` to Triangle `PQR``?` <selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'> <br><highlight data-color="#666" data-style="italic">Interactive: The students click to rotate the figure by 90° in either direction, then enter their answer.</highlight> <InteractiveGraph data-props='{ "options": { "cell_size": 20, "x_skip_interval": 1, "y_skip_interval": 1, "y_min": -10, "x_min": -10, "y_max": 10, "x_max": 10 }, "points": [ { "id": 1, "x": 3, "y": 3, "label": "A", "label_rotated": "P" }, { "id": 2, "x": 5, "y": 1, "label": "B", "label_rotated": "Q" }, { "id": 3, "x": 1, "y": 1, "label": "C", "label_rotated": "R" } ], "angle": 90, "mode": "ROTATE" }'></InteractiveGraph ></selectivedisplay>

<p> What are the direction and angle of rotation from Triangle `ABC` to Triangle `PQR``?` <selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'> <br><highlight data-color="#666" data-style="italic">Interactive: The students click to rotate the figure by 90° in either direction, then enter their answer.</highlight> <InteractiveGraph data-props='{ "options": { "cell_size": 20, "x_skip_interval": 1, "y_skip_interval": 1, "y_min": -10, "x_min": -10, "y_max": 10, "x_max": 10 }, "points": [ { "id": 1, "x": 0, "y": -4, "label": "A", "label_rotated": "P" }, { "id": 2, "x": 3, "y": -4, "label": "B", "label_rotated": "Q" }, { "id": 3, "x": 2, "y": -8, "label": "C", "label_rotated": "R" } ], "angle": -90, "mode": "ROTATE" }'></InteractiveGraph ></selectivedisplay>

<p> What are the direction and angle of rotation from Figure `ABCD` to Figure `PQRS``?` <selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'> <br><highlight data-color="#666" data-style="italic">Interactive: The students click to rotate the figure by 90° in either direction, then enter their answer.</highlight> <InteractiveGraph data-props='{ "options": { "cell_size": 20, "x_skip_interval": 1, "y_skip_interval": 1, "y_min": -10, "x_min": -10, "y_max": 10, "x_max": 10 }, "points": [ { "id": 1, "x": 1, "y": 5, "label": "A", "label_rotated": "P" }, { "id": 2, "x": 6, "y": 5, "label": "B", "label_rotated": "Q" }, { "id": 3, "x": 5, "y": 3, "label": "C", "label_rotated": "R" },{ "id": 4, "x": 0, "y": 3, "label": "D", "label_rotated": "S" } ], "angle": 180, "mode": "ROTATE" }'></InteractiveGraph ></selectivedisplay>