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Scale Factor Practice Test
Sharpen skills with engaging scale factor challenges
Use this 20‑question quiz to practice scale factor problems in high school geometry. You'll work with dilations and similar figures and spot gaps before a test. After you answer, see what you got right and follow the built‑in help links to review any tricky ideas.
Study Outcomes
- Analyze and compute scale factors to determine dimensions of similar figures.
- Apply proportional reasoning to solve for missing lengths in geometric problems.
- Evaluate scale drawings by interpreting scale factors accurately.
- Demonstrate the ability to use ratios to establish relationships between parts of similar figures.
- Verify results by cross-checking calculated dimensions with provided scale factors.
Scale Factor Questions Cheat Sheet
- Scale Factor Essentials - A scale factor is your VIP pass to resizing shapes while exactly preserving their proportions! When the number is above 1, you're in enlargement territory; between 0 and 1, you're shrinking to mini size - all without warping the original. Cuemath: Scale Factor Basics
- Finding Your Magic Number - To pinpoint the scale factor, just divide a side length in the new figure by its matching original side. If a 5‑unit side blossoms into 10 units, you land on a scale factor of 2 - math magic at work! Cuemath: Scale Factor Explained
- Dilations Beyond the Origin - Here's a fun twist: dilations don't have to pivot at (0,0). Shift your centre point first, then apply the scale factor to see your figure dance to a new spot! SchoolTube: Dilations in Geometry
- Area Changes by the Square - When you crank up the scale factor by 3, you don't just triple the area - you square it and get 9 times more surface to color in. Always remember: area scales with the factor squared! Illustrative Math: Area Practice
- Perimeter Goes Linear - Up the scale factor and the perimeter follows suit in a straight line - double your scale factor, double your boundary length! It's a one‑to‑one relationship that's easy to track. Illustrative Math: Perimeter Practice
- Circle Radius Rule - For circles, the scale factor is the new radius divided by the old radius - simple as pi. If a radius jumps from 1 to 2 units, your factor is a neat 2! ByteLearn: Circle Scale Factors
- Similar Triangles - In similar triangles, angles match perfectly and sides scale in proportion - the scale factor is your proportionality detective! Use it to unveil unknown side lengths or compare shapes. ByteLearn: Similar Triangles
- Proportional Problem Solving - Tackling scale factor questions is all about setting up side-to-side proportions, cross‑multiplying, and solving for the mystery value. It's algebra meets geometry in the most satisfying way! Oak National: Scale Factor Lessons
- Practice Makes Perfect - Solidify your skills with hands‑on problems: dilate a rectangle of area 12 by a factor of 2 and watch it leap to 48 units² in one simple calculation. Practice really does make math dreams work! Illustrative Math: Area Practice
- Positive & Non-Zero Rule - A scale factor of zero would flatten everything into a single point - no thanks! Always pick a positive number to keep your shapes recognizable and mathematically sound. Cuemath: Scale Factor Tips