Math by Design
Transformations – Reflections
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...
Curated OER
Line Reflections
In this line reflections worksheet, 10th graders solve 10 different problems that include determining different line reflections in images. They identify the line reflections in each of the illustrations shown on the sheet. Then,...
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
Geometry Practice: Transformations, Isometries, and Tessellations
Five pages for geometry practice relating to symmetry provide mathematicians with exercises on transformations and symmetry, properties of isometries, compositions of transformations, tessellations with regular polygons, and other...
Curated OER
Line Symmetry
Teach your class about symmetry lines with this resource. This worksheet defines symmetry and explains lines of symmetry and how they work. Learners examine a variety of examples before drawing lines of symmetry in 5 figures. The...
Curated OER
Geometry Practice: Loci and Transformations
This resource guides young geometers to create new polygons from others of equal area, compare an image to its reflection and find errors, conduct repeated reflections, map translations, and determine center of rotation. No solutions are...
Curated OER
Reflections
In this math instructional activity, students practice constructing reflections of shapes already present in a grid-based graph. This simple instructional activity has 12 problems for the students to solve, and includes an answer sheet.
Curated OER
Geometry Practice Exam
In this reflections and rotations worksheet, students reflect and rotate lines in graphs and draw lines of symmetry through patterns. Students complete 24 problems.
Curated OER
Geometry Exam
In this reflections and symmetry worksheet, students draw lines of symmetry in shapes and patterns and reflect letters over lines in graphs. Students complete 20 problems.
Curated OER
Geometry Standardized Test Practice
In this figures and graphs review instructional activity, 10th graders solve and complete 23 various types of problems that include identifying various figures and graphs. First, they name the transformation that maps the unshaded figure...
Curated OER
Reflection in a Line
In this reflection of a line instructional activity, 10th graders identify 10 different reflections of lines as stated in each. First, they determine the image of a point under a reflection across the x-axis. Then, students find x, y,...
Mathed Up!
Mixed Transformations
Viewers learn how to identify and perform a variety of transformations with a video that provides seven items on transformations. Pupils demonstrate their understanding of dilations, reflections, rotations, and translations. The video...
University of Utah
Geometry: Transformations, Congruence, and Similarity
Rigid motions are to congruence as what are to similarity? Investigate properties of rigid motions and define congruence in terms of rigid motions with the ninth chapter of a 10-part eighth grade workbook series. The...
National Council of Teachers of Mathematics
Bank Shot
Bank on geometry to line up the shot. The resource asks the class to determine the location to bank a cue ball in a game of billiards. Using their knowledge, class members determine where to hit the bumper to make a shot and discuss...
Illustrative Mathematics
Reflections and Isosceles Triangles
Geometers explore symmetries of isosceles triangles by using rigid transformations of the plane. They complete four tasks, including congruence proofs, which illustrate the relationship between congruence and rigid transformations. The...
Curated OER
Congruent Segments
The task, should your class decide to take it, is to list a series of reflections that transfer a line segment from one position to another.
Curated OER
Motions In Geometry
In this motions in geometry worksheet, students draw translations, rotations, and reflections. This three-page worksheet contains examples, instructions, and 6 problems. The last page contains answers.
Virginia Department of Education
Transformations
The coordinate plane is a popular place! Identify rotations, reflections, and dilations on the coordinate plane. Pupils work in small groups to match transformations of a figure with the description of the transformation....
Curated OER
Similarity: Instructional
In this similarity worksheet, students solve and complete 7 different problems that include determining various dimensions of mirrors shown. First, they find the length of the diagonal of the large mirror in the diagram. Then, students...
Curated OER
Geometry Coordinates
For this geometry coordinates worksheet, students plot given ordered pairs. This one-page worksheet contains 6 problems.
School Mathematics Project
Resource Sheets
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
Curated OER
Geometry and Spatial Reasoning 2
In this math worksheet, students use pictures of hands, bears, and cartoon characters to review geometrical terms including reflections and rotations.
PBS
Using Symmetry to Create Corporate Logos
Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 2
It's time for a concept check! Check for student understanding over the three types of rigid transformations. The assessment follows the first 10 lessons in this series and to test pupils' proficiency of these concepts. Individuals...