These worksheets will teach your students how to correctly replot shapes on a coordinate graph.

How to Track the Movement of Shapes within a Coordinate Grid? When it comes to the movement of shapes on a coordinate grid, there is one geometrical concept that comes into play, and that is transformations. In geometry, transformations are when we take a preimage and transform it to produce an image. The two categories of transformations include; The rigid transformation - These are the ones that do not change the shape or size of the preimage. The non-rigid transformation - These are the ones that change the size but not the shape of the preimage. There variety of different types of transformations, and these include; translation, reflection, rotation, and dilation. The translation is the most basic type of transformation and when it changes position in space in x-, y- or x- and y-direction. Reflection is when the object is flipped on the basis of a mirror line. Rotation is when the object is rotated about a fixed point, known as the center of rotation. Dilation is when an object expands or contracts. To know whether an object is translated, reflected, rotated, or dilated, you need to focus on the following factors. Reflection - When an object is reflected, both the object and its image will be at the same perpendicular distance from the mirror line. The shape and size of the image will be the same as the object. Translation - A translated object will have the same size and the same shape because it does not turn, flip, or is dilated. All points of a translated object have the same orientation and the same distance from each other. Rotation - The size and the shape of the image are the same as the object, but the orientation is different. The image and the object meet at one point, and that is the point of rotation.

This is a complete synthesis activity where students need to create a figure on a coordinate grid. We have them use their critical thinking skills by having the shape transform and we have students verify where the new locations are located on the graph. The shapes and movements will change from problem to problem. The majority of tracked movements are just simple slides, but there are a few rotations sprinkled in there. These worksheets explain how to move shapes in a coordinate grid. Sample problems are solved and practice problems are provided. Your students will use these activity sheets to learn how to replot shapes on a coordinate graph based on a given movement.



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Print Coordinate Grid Worksheets

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Coordinate Grid Lesson

This worksheet explains how to plot coordinates on a grid. A sample problem is solved.

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Lesson and Practice

Given a set of vertices, students will find the coordinates of the new vertices after a triangle is moved. A sample problem is solved and two practice problems are provided.

Worksheet

You will track the position of floating shapes within a coordinate grid. Ten problems are provided.

Practice

Students will find the new coordinates of after a shape has been moved. Ten problems are provided.

Drill

Given coordinates, student will plot and move shapes as indicated. Example: A parallelogram whose coordinates are (3, 2), (7, 2), (5, -1), (1, -1) moved 1 units down and 1 units right. Find its new coordinates? Eight problems are provided.

Warm Up

Students will practice locating and plotting moving shapes in a coordinate grid. Three problems are provided.