An informative video and handout provide the basic information needed to reflect any pre-image across either of the axes on the coordinate plane. The printed resource provides a preview of reflecting across lines other than an axis....

In this reflection of shapes worksheet, learners graph images on a coordinate plane. They reflect the image and sketch it on the graph. They write a rule to describe the transformation. This four-page worksheet contains 14 problems....

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...

Tracing paper is not just for art anymore — pupils can use it to find reflected images, too! Two videos show how to reflect images using tracing paper and find the reflection between the pre-image and image. Learners perform reflections...

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...

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...

In the 16th activity 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 activity breaks the process of reflecting across a...

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...

Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...

What do you get when you cross piecewise functions with transformations?  An engaging activity! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to piecewise...

Discover the results of reflecting an image. Learners use transparency paper to manipulate an image using a reflection in this fourth lesson of 18. They finish by reflecting various images across both vertical and horizontal lines.

Time for matrices and complex numbers to come together. Individuals use matrices to add and multiply complex numbers by a scalar. The instructional activity makes a strong connection between the operations and graphical transformations.

Looking for a strategy to organize the information related to transformations? The materials ask pupils to identify a sequence of rigid transformations, identify corresponding angles and sides, and write a congruence statement. They...

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...

Transform your instruction with an exploratory activity! Young scholars manipulate absolute values and quadratic functions to look for transformation patterns. They use the patterns to write general rules of transformations.

Take some time to reflect on graphing. Learners count a point's distance from the line of reflection to create reflections of geometric figures. Given the rules for four basic lines of reflections, pupils determine the points to create...

Learn about constructing figures, proofs, and transformations. The seventh unit in a course of nine makes the connections between geometric constructions, congruence, and proofs. Scholars learn to construct special quadrilaterals,...

Mathematicians utilize artwork to help illustrate the major ideas of transformations and tessellations. They visually identify transformations including reflections, rotations, and translations. They discuss how artists have used...

Learners consider a set of questions to determine a series of transformations that will move one figure to another. Once the series is determined, the pupil then determines whether the pre-image and image are either congruent...

Use the coordinate plane to show two figures are similar. The activity incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation...

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...

Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...

Build a definition of congruence from an understanding of rigid transformations. The lesson asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...

Students perform transformations on their graphs. For this algebra lesson, students identify the pre-image and image. They find and identify congruent shapes and isometry.