A triangle rests in quadrant two, from which your class members must draw reflections, both over x=2 and x=-2. This focused exercise strengthens students' skills when it comes to reflection on the coordinate plane.

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...

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...

Two triangles are displayed on a coordinate plane. Youngsters apply a reflection and a translation to demonstrate their congruence. This exercise makes a terrific tool for teaching these concepts, or a way to assess learning.

Use this task as an exit ticket for your eight graders during the geometry unit. All they need to do is identify the coordinates of a point reflected over y=2000. 

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...

Reflected waves of light move within a plane, and because of this, polarizing materials can reduce the glare our eyes see. This resource explains how to set up a demonstration of this effect. Consider it for use in your physical science...

Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...

Your geometry learners are guided by questions that help them use the language of reflections to explain the Side-Angle-Side congruence between two triangles in this collaborative task. Given a sample solution, declaring the...

Geometers prove that triangle PQR is congruent to triangle ABC by describing any combination of rotations, reflections, and translations that would prove it so. There is only this single task on the handout, but a detailed explanation of...

Your learners find as many rigid motions of the plane as they can that are symmetries of the configuration of circles. Rigid transformations of the plane are explored and become more concrete to them as they visualize and execute...

The lesson allows young scientists to use lasers and mirrors to study reflected light. A reading passage and homework question assess learning, while additional material introduces extension activities. 

While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...

Young geometers flex their transformation muscles in this brief but powerful exercise using dilations and translations to develop the similarity of circles. The plan provides guidelines to help learners navigate a pair of...

Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...

Students will learn how to perform a reflection using the Cabri Jr. application, and will explore the properties of reflections. This activity will extend the concepts of reflection to the coordinate plane.

Students move their cursor in this activity center to occupy a unique point on a background letter "F" in quadrant 1. Students then together follow a rule for going to a different point (such as "use the opposite of the original x...

In this activity, students review basic geometry vocabulary while investigating reflections on a coordinate grid.

The purpose of this investigation is to: Revise plotting points on the Cartesian plane; Use and understand aspect ratios; Improve estimation skills; Use a spreadsheet or a graphing calculator to draw a graph; Learn how to reflect lines...

Use the activity center in TI-Navigator to discover a generalization for reflecting ordered pairs over the x- or y-axis.

In this activity, students use the drawing and measurement tools of Cabri Jr. to blend coordinate geometry with drawing tools. They visualize symmetry and reflect a point across the y-axis.

This site presents information on the three basic transformations of figures in a plane: Reflections, Rotations, and Translations.

In this activity the teacher will send two lists, a window range, and an educational document via the TI-Navigator. Students will explore the reflections and rotations of a shape in the rectangular coordinate system.

In this activity, students will identify and record ordered pairs from a coordinate plane. They will examine symmetry about the axes, reflections, and symmetry in nature. They understand geometric concepts like area and perimeter, and...