Rotations Problems

5 questions
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#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 reasoning skills and visualize how shapes can be transformed in different ways. They can also use rotations to create symmetrical designs and patterns.

You can take help from our Introduction To Rotations Lesson Plan perfect for empowering your math students!
 

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 reasoning skills and visualize how shapes can be transformed in different ways. They can also use rotations to create symmetrical designs and patterns.

You can take help from our Introduction To Rotations Lesson Plan perfect for empowering your math students!
 

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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Grade 8
Transformations
8.G.A.3

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
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.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”