Dilate Figures From the Origin

Pair each drawing sheet with its describing sheet, such as Rotate Figures About the Origin with Describe Rotations From Before and After Graphs. Keep the reference sheets nearby and finish with the park task.

Dilate figures from the origin by scale factors such as 2, 3 and 1/2 and record each image vertex. The directions on the page read: Dilate each figure by the scale factor shown, with the origin as the center. Draw and label the image. Write the coordinates of each image vertex. An answer key is included.

Yes, both. We made it for 8th grade transformations, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

(x, y) becomes (x, −y), so x stays the same and y changes to its opposite. Across the y-axis the rule is (x, y) to (−x, y). Reflect Figures Across the Axes and Lines also includes the line y = x.

Multiply each coordinate by the scale factor k. With k = 2, the point (1, 2) moves to (2, 4). A k greater than 1 enlarges the figure and a k between 0 and 1 reduces it.

Pick a vertex and count how far it moved left or right and up or down to its image. Write those moves as a rule such as (x + 6, y − 3). Describe Translations With Coordinate Rules has students write the rule and the units moved.