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Lesson Plans and Worksheets for Grade 8

Lesson Plans and Worksheets for all Grades

More Math Lessons for Grade 8

Common Core For Grade 8

Examples, solutions, worksheets, videos, and lessons to help Grade 8 students learn how to describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

Common Core: 8.G.3

### Suggested Learning Targets

### Transformation Rules on the Coordinate Plane

**Translation**: Each point moves a units in the x-direction and b units in the y-direction.

(x, y) → (x + a, y + b)

**Reflection across the x-axis**: Each x-value stays the same and each y-value becomes opposite of what it was. (x, y) → (x, −y)

**Reflection across the y-axis**: Each y-value stays the same and each y-value becomes opposite of what it was. (x, y) → (−x, y)
**Transformational Geometry- Dilations**

In this tutorial you will learn about dilations and scale factors.

**Transformations in the Coordinate Plane - Rotation, Reflection, Translation**
**Transformations on the coordinate plane**

Rotation, Reflection, Translation, Dilations.**Dilation of a tilted shape 8.G.3**

Dilate a parallelogram by a scale factor between 0 and 1

In the coordinate plane below, a dilation about the origin is performed on Figure A, which results in Figure A'. What is the scale factor and how does it alter the area and perimeter?**Dilations on the coordinate plane (with different values of scale factor, k)**
**Transformations in the Coordinate Plane**

Rotation, Reflection, Translation.**Geometric Transformations**

Demonstrate geometric transformation using Geogebra

Rotation, Reflection, Translation, Dilations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Lesson Plans and Worksheets for Grade 8

Lesson Plans and Worksheets for all Grades

More Math Lessons for Grade 8

Common Core For Grade 8

Common Core: 8.G.3

- I can define dilations as a reduction or enlargement of a figure.
- I can identify scale factor of the dilation.
- I can describe the effects of dilations, translations, rotations, and reflections on 2-D figures using coordinates.

(x, y) → (x + a, y + b)

**Reflection across the line y=x**: The x and y values switch places. (x, y) → (y, x)

**Rotation 90° about the origin**: Each y-value becomes opposite of what it was. The x and y values switch places.

(x, y) → (−y, x)**
Rotation 180° about the origin**: Each x and y value becomes opposite of what it was.

(x, y) → (−x, −y)

**Rotation 270° about the origin**: Each x value becomes opposite of what it was. The x and y values switch places.

(x, y) → (y, −x)

**Dilation with respect to the origin and scale factor of k**:
(x, y) → (kx, ky)

**Coordinate Transformation and Dilation**

In this tutorial you will learn about dilations and scale factors.

Rotation, Reflection, Translation, Dilations.

Dilate a parallelogram by a scale factor between 0 and 1

In the coordinate plane below, a dilation about the origin is performed on Figure A, which results in Figure A'. What is the scale factor and how does it alter the area and perimeter?

Rotation, Reflection, Translation.

Demonstrate geometric transformation using Geogebra

Rotation, Reflection, Translation, Dilations.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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