# Rotations Problems

5 questions

### #1 of 5:Mild

Rotations

<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>

### #2 of 5:Mild

Rotations

<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>

### #3 of 5:Mild

Rotations

<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>

### #4 of 5:Medium

Rotations

<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>

### #5 of 5:Medium

Rotations

<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>

Rotations are a type of transformation in which a shape is turned around a fixed point called the center of rotation. In grade 8 transformations, students learn about rotational symmetry, which is when a shape remains the same after being rotated a certain number of degrees around its center point. Understanding rotations is important in geometry because it helps students develop spatial r...

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Transformations
8.G.A.3

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### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”