Students run the design desk at a school spirit shop, chaining translations, reflections, rotations and dilations to land a pennant logo on five products. The coordinate grid updates live, answers are auto-graded instantly, and every student gets randomized problems. Aligned to 8.G.A.4, with a 2-slide intro on congruent vs. similar figures.
Pennant Placement: Interactive Transformations and Similarity Practice for Grade 8 (8.G.A.4)
Make transformations click with a hands-on, real-world activity your 8th graders will want to finish. In Pennant Placement, students work the design desk at their school’s spirit shop. The Riverside pennant needs to go on a water bottle, a hoodie sleeve, a hallway poster, a backpack keychain and a bus window decal. The catch is that the print software can’t drag anything. It only follows exact moves, so students must build a precise sequence of transformations to land the logo on each approved spot.
As students choose each move, the pennant updates on a live coordinate grid. They see every intermediate step, and the shape turns green the moment it lands exactly. This instant visual feedback turns trial and error into real reasoning about how each transformation changes a figure.
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Keywords: transformations worksheet, similar figures, congruent figures, translations reflections rotations dilations, sequence of transformations, 8th grade geometry, 8.G.A.4, coordinate plane, scale factor, interactive math activity, auto-graded math practice
In this activity, students act as the design desk at a school spirit shop and place a pennant logo on six products by chaining moves (translations, reflections, rotations about the origin and dilations) on a coordinate grid until the pennant lands exactly on an approved outline. For each placement they read lengths off the grid, work out the scale factor, and decide whether the two figures are congruent or only similar. In the last two problems they check vendor proofs by comparing side ratios: they either prove that two figures are similar by finding the sequence of moves, or show that no sequence can work because the ratios don’t match. This builds the 8.G.A.4 understanding that two figures are similar exactly when one can be mapped onto the other by a sequence of rigid motions and dilations, and that a single scale factor across corresponding sides is the evidence of similarity.
The worksheet supports randomization, if enabled, every student will see the shapes in different positions and will need different movements.
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
All 8.G.A.4 activities →More interactive, auto-graded activities on the same standards and topics.
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