Geometry Transformations Study Guide
This 2-page study guide helps 8th graders review key geometry concepts including dilations, congruence, and slope. It includes practice problems with coordinate grids and multiple-choice questions.
“Create a study guide for this unit test Rectangle ABCD is shown on the coordinate grid. Dilate the rectangle by a scale factor of 1/3 with a center of dilation at point B. 2. Triangle RST is shown on the coordinate grid. Dilate the triangle by a scale factor of 2 with a center of dilation at point R. 3. Rectangle ABCD is drawn on a coordinate grid. Which sequence of transformations will produce a figure congruent to ABCD? a. a reflection across the x-axis, then a rotation 90 ̊ clockwise about the origin b. a dilation by a scale factor of 2 about the origin, then a reflection across the y-axis c. a dilation by a scale factor of 1⁄2 about the origin, then a translation 6 units to the right d. e. a rotation 180 ̊ counterclockwise about the origin, then a dilation by a scale factor of 3 about the origin 4. Triangle MNP is shown on the coordinate grid. Dilate the triangle by a scale factor of 1⁄2 about the origin. 5. Select all of the transformations that will produce a figure that is congruent to an original figure. translation 6 units to the right, then reflection over the x-axis reflection over the x-axis, then a reflection over the y-axis translation 1 unit down, then a dilation by a factor of 3 about the origin dilation by a factor of 2 about the origin, then a translation 2 units down rotation 90 ̊ clockwise about the origin, then a translation 9 units to the left rotation 180 ̊ about the origin, then a dilation by a factor of 2 about the origin 6. Triangle A has been dilated to create Triangle B. Calculate the value of “d”? 7. Find the slope of the line below. Write your answer in simplest form as an improper fraction or integer. 8. Find the slope of the line below. Write your answer in simplest form as an improper fraction or integer. 9. Find the slope of the line below. Write your answer in simplest form as an improper fraction or integer. 10. Find the slope of the line below. Write your answer in simplest form as an”
Teacher Guide & Tips
- Use this 2-page guide as a review activity before a unit test on geometry transformations.
- Discussion question: How does a dilation change the size of a figure, and how does it differ from transformations that preserve congruence?
- For struggling students, provide a reference sheet with definitions of dilation, translation, rotation, and reflection.
- Advanced students can be challenged to create their own transformation problems or explore the effects of combining multiple transformations.
- Estimated time: 30-45 minutes.
What is Diffit?
Teachers use Diffit to get quality materials for their unique classrooms. Adjust difficulty, add scaffolds, or change the topic to get started.
Try Diffit for free“Create a study guide for this unit test Rectangle ABCD is shown on the coordinate grid. Dilate the rectangle by a scale factor of 1/3 with a center of dilation at point B. 2. Triangle RST is shown on the coordinate grid. Dilate the triangle by a scale factor of 2 with a center of dilation at point R. 3. Rectangle ABCD is drawn on a coordinate grid. Which sequence of transformations will produce a figure congruent to ABCD? a. a reflection across the x-axis, then a rotation 90 ̊ clockwise about the origin b. a dilation by a scale factor of 2 about the origin, then a reflection across the y-axis c. a dilation by a scale factor of 1⁄2 about the origin, then a translation 6 units to the right d. e. a rotation 180 ̊ counterclockwise about the origin, then a dilation by a scale factor of 3 about the origin 4. Triangle MNP is shown on the coordinate grid. Dilate the triangle by a scale factor of 1⁄2 about the origin. 5. Select all of the transformations that will produce a figure that is congruent to an original figure. translation 6 units to the right, then reflection over the x-axis reflection over the x-axis, then a reflection over the y-axis translation 1 unit down, then a dilation by a factor of 3 about the origin dilation by a factor of 2 about the origin, then a translation 2 units down rotation 90 ̊ clockwise about the origin, then a translation 9 units to the left rotation 180 ̊ about the origin, then a dilation by a factor of 2 about the origin 6. Triangle A has been dilated to create Triangle B. Calculate the value of “d”? 7. Find the slope of the line below. Write your answer in simplest form as an improper fraction or integer. 8. Find the slope of the line below. Write your answer in simplest form as an improper fraction or integer. 9. Find the slope of the line below. Write your answer in simplest form as an improper fraction or integer. 10. Find the slope of the line below. Write your answer in simplest form as an”
Teacher Guide & Tips
- Use this 2-page guide as a review activity before a unit test on geometry transformations.
- Discussion question: How does a dilation change the size of a figure, and how does it differ from transformations that preserve congruence?
- For struggling students, provide a reference sheet with definitions of dilation, translation, rotation, and reflection.
- Advanced students can be challenged to create their own transformation problems or explore the effects of combining multiple transformations.
- Estimated time: 30-45 minutes.
Geometry Transformations Study Guide
This 2-page study guide helps 8th graders review key geometry concepts including dilations, congruence, and slope. It includes practice problems with coordinate grids and multiple-choice questions.
What is Diffit?
Teachers use Diffit to get quality materials for their unique classrooms. Adjust difficulty, add scaffolds, or change the topic to get started.
Try Diffit for free