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Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
Education Development Center
Similar Triangles
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
Alabama Learning Exchange
Triangle Congruence with Rigid Motion
Combine transformations and triangle congruence in a single lesson. Scholars learn to view congruent triangles as a rigid transformation. Using triangle congruence criteria, learners identify congruent triangles and the rigid...
Mathed Up!
Translations
Introduce translations as transformations that move figures in horizontal and vertical distances with a video that shows how to translate the figures. A second video covers how to determine the translation that has occurred. Pupils...
TED-Ed
Pixar: The Math Behind the Movies
When will we ever use this? A Pixar movie maker explains to students how math is used in the creation of animated films. The movie maker discusses the importance of coordinate planes, transformations and translations, and...
California Mathematics Project
Reflections
Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson in a seven-part series.
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
Transformations
Young scholars draw on graph paper. In this geometry lesson plan, students review types of triangles and quadrilaterals. Young scholars investigate geometric transformations, including translation, rotation and reflection. Students...
Curated OER
Graphing and Writing the Rule for Transformations
In this translations worksheet, students graph the given image using the transformations described in six problems and write the rule for the transformation graphed in six more problems.
Curated OER
Geometric Transformations
In this geometric transformations learning exercise, learners draw the triangle after the transformation as directed in six diagrams.
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.
Curated OER
Transformations on the Coordinate Plane
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
EngageNY
Congruence, Proof, and Constructions
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs. Each of the almost-forty lessons...
California Education Partners
T Shirts
Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....
Curated OER
Transformational Geometry Using the Geometer's Sketchpad
Students complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a quadrilateral...
Curated OER
Tessellations: Geometry and Symmetry
Students explore the concept of tessellations. In this tessellations lesson plan, students use an applet to construct tessellations. Students use regular polygons to construct tessellations. Students find patterns and symmetry in their...
Curated OER
Transforming Fish
Tenth graders investigate transformations. In this geometry lesson, 10th graders are provided the coordinates of a fish and are directed to transform the fish according to the instructions.
EngageNY
Base Angles of Isosceles Triangles
Build confidence in proofs by proving a known property. Pupils explore two approaches to proving base angles of isosceles triangles are congruent: transformations and SAS. They then apply their understanding of the proof to more complex...
CK-12 Foundation
Equations of Circles: The Sea of Happiness
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
Curated OER
Transformations: Rotation
For this rotations worksheet, 10th graders solve and complete 10 different problems that include measuring various types of transformations of geometry. First, they determine the measure of an angle between two pointers. Then, students...
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
Transformation Trio
Young scholars identify the transformation and rotation of polygons. In this geometry instructional activity, students use picture to perform rotation, reflection and transformation. They identify the coordinate points of the new...
Curated OER
Transformations-Shapes on the Move
Students examine transformations. In this math activity, students view and describe flips, slides, and turns. Students practice making transformations with shapes.
Curated OER
Determine the Coordinate of Transformations
Students investigate transformation on a coordinate plane. In this geometry lesson, students identify pairs of coordinates and their location on the grid. They perform rotation and reflection of each polygon.