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Scaled Copies Practice Quiz Worksheet
Practice your skills with our worksheet PDF
This scaled copies worksheet PDF quiz helps you practice finding and using scale factors on similar shapes. Work through 20 quick problems with clear visuals, get instant feedback on each try, and spot gaps before a quiz or exam while building speed and confidence.
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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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