Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.

Transform your knowledge from average to excellent with this comprehensive guide to function transformations. All of the types of shifts, stretches, and reflections are included with an explanation and coordinating graph to show...

In this math worksheet, high schoolers practice constructing reflections of shapes already present in a grid-based graph. This simple worksheet has 12 problems for the students to solve, and includes an answer sheet.

Students reflect, rotate, translate, and dilate figures in the Cartesian coordinate plane using grid paper and dot paper. They use transformations (i.e., reflections, translations, rotations, and dilations) to describe geometric patterns...

Students create a quilt, using different patterns. In this geometry lesson, students apply prior knowledge as they use different patterns to help them create a quilt using transformations and geometric shapes.

Transformations come in many forms. To start the informative resource, pupils first review the different types of transformations. Scholars work in more detail with translations by drawing the transformations and writing the algebraic...

Transform your learners into master geometers with an activity that asks them to first complete an assessment task drawing the result after transformation of a given shape in the coordinate plane. They then use cards to...

In this transformations worksheet, students sketch functions with shifts and reflections. The original functions and space for the graphs are provided.

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.

Third graders demonstrate their mathematical knowledge of symmetry and reflection using congruent geometric shapes while working as an artist and mathematician looking at a medieval-styled stained glass window.

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...

A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...

Have you hit a wall when trying to create performance task questions? Several open-ended response questions require a deep level of thinking. Topics include triangle congruence, quadrilaterals, special segments, constructions, and...

Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is...

In this reflections and rotations worksheet, students reflect and rotate lines in graphs and draw lines of symmetry through patterns. Students complete 24 problems.

Flip, spin, and shift with this vocabulary-rich video on transformations. Learners watch different movements and see how to move an object without affecting its size. The video follows with a multiple choice assessment that...

Fourth graders identify lines of symmetry using reflections and then construct figures that have one or more lines of symmetry. In this symmetry lesson plan, 4th graders use sets of shapes, pattern blocks, a mirror, and more.

Students examine how some transformations, such as reflections and rotations, do not change the figure itself, only its position or orientation.

Compare and contrast the four types of transformations through constructions! Individuals are expected to construct the each of the different transformations. Although meant for a review, these examples are excellent for initial...

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...

Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix. 

For any study of upper-level geometry, this presentation could be of good use. It defines three important concepts: transformation, reflection, and rotation. Although brief, this presentation could easily be used in tandem with problems...

In this math learning exercise, students explore reflective symmetry by completing 15 problems. Students examine a figure which is drawn on a dot grid and draw a reflection of each. There is one example already completed.

In this math worksheet, students use pictures of hands, bears, and cartoon characters to review geometrical terms including reflections and rotations.