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Study Guide for Similarity Transformations

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Click the links below for good ol' fashioned Gimkit practice! If you want some Fishtopia-style homework, just let me know:

All Transformations - Unit Review Kit

Similar Figures + Missing Dimensions

Reflections

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Gimkit is a game show for the classroom that requires knowledge, collaboration, and strategy to win. Get started for free!

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Use the Quizizz links below to practice specific skills for the unit. Also, make sure to check out any explanations I offer on specific questions:

Dilations + Scale Factor

Rigid Transformations & Congruent Figures

Transformations

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CLICK HERE to visit Flocabulary to get some hip-hop 🔥🔥🔥 plus some math lines that will 🤯 blow your mind! Complete any activity listed for the following:

Congruence & Similarity

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Visit IXL (use Clever) and work on the following recommendations:
• Find side lengths of similar figures

• Dilations: graph the image
• Dilations: find the scale factor
• Congruence statements and corresponding parts

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Check out our Math 8 Digital Word Wall, made with Book Creator App! If you click Read to Me, you'll have definitions read to you and additional explanations for various terms!

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This Book offers visuals, definitions, and audio explanations of 8th-grade math terms. All vocab words are aligned with Big Ideas Math.

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It's time for a Blooket Bonanza! Check out the links below to practice math concepts with some solo gameplay:

Dilations & Scale Factor

Rigid Transformations & Congruent Figures

Reflections

Translations

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• Formative #4 | Translations
• Transformations & Congruent Figures

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Translations & Reflections | Jeopardy Review

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Translations & Reflections | Jeopardy Review

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Select a question and hit the space bar to check your answer.

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What does this translation mean?(x+5, y-2), What does this translation mean?(x-3, y+5), How would you write this mathematically?Move up 5 and right 6, How would you write this mathematically?Move down 4 and left 3

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Dilations & Scale Factor | Jeopardy Review

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Dilations & Scale Factor | Jeopardy Review

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A transformation in which a figure is made larger or smaller., The point in which the figure is dilated "with respect to.", The rate by which a figure enlarges or reduces., The name of a figure after it is dilated.

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Changes a figure into another figure. Examples of transformations include rotations, reflections, and translations.

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WIZARD BATTLE! Visit Prodigy and play the game solo OR challenge a classmate! Click the above linked image and select 'Log in with: Google.'

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Think back to how epically bad it was when I played Tetris. Why did I fail so miserably? Because I was performing a SERIES OF TRANSLATIONS ONLY!

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A transformation that preserves length and angle measure. Translations, reflections, and rotations are rigid motions.

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Preimage: The original figure before a transformation. Triangle ABC (blue) would be the preimage in the above example. You can also see the prime symbols next to the labeled vertices on the red triangle, informing you that this figure is the image.

Image: The new figure after a transformation takes place. In the reflection taking place in the above picture, the red triangle is the image.

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A transformation in which a figure slides but does not turn. Every point of the figure moves the same distance and in the same direction.

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Want some extra practice + review? Check out the student-paced Nearpod presentations below to improve your skills in math class!
• Reflections
• Transformations + Translations

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Remember, when you TRANSLATE a point or figure, you SLIDE to create a CONGRUENT IMAGE with the SAME ORIENTATION.

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AKA flip, is a transformation in which a figure is reflected on a line. A reflection creates a mirror image of the original figure. In the image above, a reflection across the x-axis is taking place.

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Performing Reflections Across the x- and y-Axes

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Performing Reflections Across the x- and y-Axes

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The Organic Chemistry Tutor • 352K views

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Reflection Across the X and Y Axis - YouTube

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The line a figure is flipped across. The line can be the x-axis or y-axis (or a combination of both).

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A transformation in which a figure is turned about a point.

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Notice that the image in quadrant I is the same distance away from the y-axis (line of reflection) as the preimage. However, it is also flipped. As a result, all of the x-values would be the inverse of the preimage's coordinates. The triangle remains congruent but with a different orientation.

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A point about which a plane figure rotates.

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What are Congruent Figures? | Don't Memorise

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The number of degrees a figure rotates. The figure can rotate clockwise or counterclockwise.

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Two figures are congruent when one can be obtained from the other by a sequence of rigid motions. The triangles above are congruent as all side lengths, and angle measures are equal.

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Orientation is the direction a figure faces. It changes during reflections and rotations but remains the same after translations.

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Orientation & Congruence of Figures After Transformations

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Orientation & Congruence of Figures After Transformations

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Orientation and Congruence of Transformations

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Angles/sides with the same measure.

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A dilation or a sequence of dilations and rigid motions. In the above picture, both hexagons are similar because a scale factor greater than one was applied. Then the red figure was rotated.

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Two figures are similar when a similarity transformation can obtain one from the other. Similar figures have the same shape but not necessarily the same size. The above triangles are similar.

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A fixed point in the plane about which all points are expanded (made larger) or contracted (made smaller). The most common center of dilation is the origin located at point (0, 0).

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Rotation is a transformation in which a preimage is rotated about a fixed point. The new image remains congruent to the preimage with a different orientation.

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A transformation in which a figure is made larger or smaller with respect to a point called the center of dilation. In a dilation, the angles of the image and original figure are congruent. This transformation is NOT a rigid motion.

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The scale factor in the dilation of a figure determines how much larger or smaller the image will be (compared to the preimage). In the above example, the scale factor is 2 because both parts of each vertex's coordinates are multiplied by 2.

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Here's an interactive digital flip book relating to congruent figures and rigid transformations. Go into present mode for the best experience.

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Similar Figures + Finding Missing Dimensions

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Similar Figures + Finding Missing Dimensions

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Using similar figures to find missing sides

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Looking at the above triangles, you should see that all side lengths are congruent. When corresponding side lengths on two or more polygons are the same, their corresponding angles are also congruent.

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In this GIF, you see the blue pentagon preimage being dilated by multiple scale factors. When the red image is smaller than the blue figure, a scale factor of less than one was used. However, instances where the red figure is larger than the blue signifies a scale factor of greater than one was applied.

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Here's a slide deck that has a lot of great visuals and examples for congruent and similar figures.