Quizzes > High School Quizzes > Mathematics
Scaled Copies Practice Quiz Worksheet
Practice your skills with our worksheet PDF
Study Outcomes
- Identify scale factors between similar figures.
- Calculate unknown dimensions in scaled geometric shapes.
- Apply proportional reasoning to solve scaling problems.
- Analyze the relationship between scaling and geometric properties such as area and perimeter.
- Evaluate the effects of scaling on measurements in real-world contexts.
Scaled Copies Worksheet PDF Cheat Sheet
- Scaled Copies Preserve Proportions - A scaled copy is like your favorite shape hitting the gym or chilling on vacation: it grows or shrinks but never loses its proportions. Every length is multiplied by the same scale factor, so angles and overall shape stay exactly the same - just at a different size. Lesson page Original source
- Scaling Side Lengths by a Factor - To create a scaled copy, you simply multiply each original side length by your chosen scale factor - no rocket science required! For example, a triangle with sides 3, 4, and 5 scaled by 2 turns into a 6‑8‑10 triangle, preserving that perfect right‑angle vibe. Lesson page Original source
- Triangle Proportionality Theorem - This theorem says if a line is drawn parallel to one side of a triangle, it splits the other two sides into matching proportional segments. It's like slicing a sandwich so that both halves have the same filling ratio - neat and balanced! Lesson page Original source
- Similar Triangles Have Proportional Sides - When triangles are similar, corresponding sides always share the same ratio. For instance, if one triangle is 3‑4‑5 and its twin's shortest side measures 6, the other sides must be 8 and 10 - no guesswork needed! Lesson page Original source
- Scale Drawings Use a Scale Factor - In scale drawings, 1 unit on paper corresponds to a fixed number of real‑world units. For example, a 1:100 scale means 1 cm on the drawing equals 100 cm in real life - perfect for architects and model‑makers! Lesson page Original source
- Proportional Reasoning with Real Examples - Proportional reasoning is all about setting up and solving ratios. If 1,000 lines of code run in 15 seconds, you can predict that 600 lines execute in 9 seconds by keeping those ratios tight and tidy. Lesson page Original source
- Proportional Line Segment Theorem - When three or more parallel lines cut across two transversals, they carve those transversals into proportional pieces. Think of ladder rungs slicing two beams - each gap lines up perfectly in ratio! Lesson page Original source
- Keep Corresponding Angles Equal - Similarity isn't just about side lengths - their angles must match too. Whenever you draw a scaled copy, double‑check that every angle looks identical to preserve that similarity seal of approval. Lesson page Original source
- Cross‑Multiplication for Complex Proportions - To crack tricky proportions, cross‑multiply and solve for your variable. For example, solving 20(x+4)=90 becomes a breeze once you distribute, subtract, and divide to find x=1. Lesson page Original source
- Practice Makes Perfect with Rectangles - Grab a rectangle with sides 2 and 3, scale it by 1.5, and you'll get 3 and 4.5 - simple drills like this build confidence faster than you can say "proportion!". Lesson page Original source