Virginia Department of Education
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
EngageNY
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
Curated OER
Transfromations
In this geometry learning exercise, 10th graders solve questions that involve rotations, reflections, and dilations. The one page learning exercise contains ten multiple choice questions. Answers are not provided.
Curated OER
Transformations Homework
In this geometry worksheet, students transform a coordinate based on a reflection, translation, or dilation in order to obtain the image. There are 12 questions.
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
EngageNY
General Pyramids and Cones and Their Cross-Sections
Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...
Inside Mathematics
Aaron's Designs
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
EngageNY
Trigonometry and Complex Numbers
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...
EngageNY
The Geometric Effect of Some Complex Arithmetic 1
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth instructional activity in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads...
EngageNY
Representing Reflections with Transformations
In the 16th lesson in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson breaks the process of reflecting across a line...
Curated OER
Transformations
In this transformations worksheet, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.
Virginia Department of Education
Translation and Reflection
Bring about the change you want to see in the world or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to...
Virginia Department of Education
Rotation
Rotate this resource into your lesson plans. Scholars rotate polygons in the coordinate plane by multiples of 90 degrees. They then compare the original and new figures to develop conjectures about coordinate points after rotations.
Curated OER
Transformations and Translations
In this transformations/translation worksheet, students draw transformations based on shapes and vectors of given translations. A reference web site is given for additional activities.
Curated OER
Effect of Transformations on Coordinates
For this effect of transformations on coordinates worksheet, students determine the coordinates of 4 geometric shapes on a grid after a given transformation.
![University of Waterloo: Cemc: Geometry and Spatial Sense: Transformations [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "University of Waterloo: Cemc: Geometry and Spatial Sense: Transformations [Pdf] Unknown Type")
University of Waterloo (Canada)
University of Waterloo: Cemc: Geometry and Spatial Sense: Transformations [Pdf]
Accompanied by links to online activities and demonstrations, middle schoolers learn about the different types of transformations on a coordinate grid through this lesson plan. The lesson is designed to match the Grade 7 Ontario...
Common Core Sheets
Common Core Sheets: Geometry 8.g.3 Worksheets: Coordinate Plane
Worksheets provide practice with finding the area or circumference of a circle and answer keys are provided. You can even create your own worksheet or flashcards.
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