Size Shift Answer Key
About This Worksheet
A dilation is a math move that changes the size of a shape while keeping the shape the same. This grade 10 geometry worksheet helps students see how points move farther from or closer to the origin. Students work with coordinates, graphs, and scale factors in a way that connects the picture to the rule. For example, (2, 3) becomes (4, 6) when the scale factor is 2.
Curriculum and Grade Alignment
This worksheet fits grade 10 geometry because students are learning how transformations work on the coordinate plane. The main goal is to understand that dilations multiply distances from a center point. Students should already know how to read ordered pairs and plot points on a grid. The next step is using dilation rules to prove similarity. This supports Common Core HSG-SRT.A.1 because students study how dilations change figures.
Student Tasks
On this worksheet, students will write coordinates for triangle vertices and study how far each point is from the origin. They will compare an original figure with its image after a dilation. Students will complete missing coordinate pairs and decide whether the figure became larger or smaller. They will also explain the scale factor by noticing how each coordinate changed.
Common Challenges and Misconceptions
Some students may think a dilation changes the shape, but it only changes the size. Others may forget that both x and y coordinates must be multiplied by the same scale factor. A common mistake is counting grid spaces instead of using the coordinate rule. Teachers can help by saying, “Same shape, new size,” before students begin.
Implementation Guidance
This worksheet works well as a first lesson on dilations because it keeps the steps clear and visual. In class, a teacher can model one point first, then let students try the rest with a partner. At home, a parent can ask the student to explain whether the image is bigger or smaller before writing answers. That simple talk helps the student slow down and understand the meaning, not just fill in blanks.
Details and Features
The worksheet includes coordinate grids, written prompts, and space for students to record answers. It gives students both visual and numerical practice with scale factors. The page is printable and easy to use for classwork, homework, or review. The layout gives students enough room to think through each coordinate change.