EngageNY
Looking More Carefully at Parallel Lines
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
EngageNY
Characterize Points on a Perpendicular Bisector
Learn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the center of...
EngageNY
Rotations, Reflections, and Symmetry
Lead your high school class on a journey through the world of symmetry and reflections as you discuss geometric principles. Pupils differentiate between reflections and rotations, explore rotational symmetry, and investigate how to...
EngageNY
Reflections
Facilitate creativity in your math class as individuals learn the definition of a geometric reflection and correctly construct a model, as well as its reflected image. They use a perpendicular bisector and circles to elaborate on...
EngageNY
Rotations
Searching for a detailed lesson plan to assist in describing rotations while keeping the class attentive? Individuals manipulate rotations in this application-based lesson plan depending on each parameter. They construct models depending...
EngageNY
Transformations—The Next Level
Transform your geometry instruction by incorporating role play into math class. Pupils begin by completing an assessment to locate unknown angles, and then performing a simulation activity to better understand rotations, reflections, and...
Georgia Department of Education
Analytic Geometry Study Guide
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
Curated OER
Reflections and Equilateral Triangles II
Given the lines of symmetry in an equilateral triangle, your learners find where the pre-image vertices are mapped onto the new image. They explore the properties of equilateral triangles, the impact of reflections, and the idea that the...
Curated OER
Reflections and Equilateral Triangles
Your learners collaboratively find the lines of symmetry in an equilateral triangle using rigid transformations and symmetry. Through congruence proofs they show that they understand congruence in terms of rigid motions as they prove...
Curated OER
Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
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
Transformations: Translations
Students perform transformations and translations using polygons. In this geometry lesson, students perform transformations on a coordinate plane. They identify the image and pre-image of each figure.
Curated OER
Tessellations with Regular Polygons
Show your learners how to create tessellations using different polygons. This is achieved by having high schoolers make observations of polygons to find the ones that will tessellate.
Curated OER
Exploring Transformations: Translations and Reflections
Learners perform translation and reflection. They identify the coordinate points of the new graph and create a formula for the movement. They identify the pre-image the and after image.
Curated OER
Transformations: Reflections
Young scholars perform transformations on their graphs. In this algebra lesson, students identify the pre-image and image. They find and identify congruent shapes and isometry.
Curated OER
Glide Reflections
Perform reflections and transformations by having your students create glide reflections from translated shapes. They use the TiNavigator to explore transformations.
Curated OER
What's the Spin?
Learners use the CABRI application for their graphing calculator to rotate, translate, and reflect triangles. They use graphing calculators and follow detailed directions to manipulate triangles in specified ways. There are three...
Curated OER
Reflections in the Plane
Have your class explore the concept of reflections as they use Cabri Jr. to construct a triangle and reflect it over a line. Learners reflect shapes across the coordinate plane and across the lines y = x and y = -x.
Curated OER
Rotations in the Plane
Pupils investigate the properties of a rotation as they use technology (Cabri, Jr.) to observe the relationship between the pre-image and the image formed by the rotation. The lesson provides ample opportunity for learners to conjecture...