ART in PROPORTION
v2.31
Similarity · Scale Factor · Dilation
Start here
Pick three lengths that meet the conditions and type them shortest to longest — they become a, b, c, so a is your shortest side.
Substitute your three side lengths into all three Triangle Inequality checks, then simplify each one — each pair of sides must add to a sum that is greater than the third side.
🔒 Finish step 1 above to unlock these checks.
Your sides, shortest to longest: a = b = c = — so side a sits opposite vertex A.
Drag a segment by its middle to slide it; drag an end to swing it around the other end. Ends snap together — close all three corners, and the vertices name themselves.
🔒 Pass all three checks above to unlock the segments.
1. All scaled triangles that do not have a scale factor of 1 are to the original triangle. CHECK
2. A scaled triangle that has a scale factor of 1 is to the original tirangle. CHECK
3. Corresponding angles of similar triangles are to one another. CHECK
4. The measurements of corresponding angles of similar triangles are to one another. CHECK
5. The measurements of corresponding sides of similar triangles are to one another. CHECK
6. What is the scale factor (in decimal form) of an image that looks half the original image? CHECK
7. Similar triangles that are larger than the original triangle were created using a scale factor that is than 1. CHECK
8. Similar triangles that are smaller than the original triangle were created using a scale factor that is than 1. CHECK
9. Similar triangles that are congruent to the original triangle were created using a scale factor that is than 1. CHECK
10. The Equation of Proportionality is a function. CHECK
11. A copy of a triangle is 300% of the original triangle, then the scale factor is equal to . CHECK
12. A copy of a triangle is 300% greater than the original triangle, then the scale factor is equal to . CHECK
The SVG downloads at full size — it is the file the laser cutter uses to cut your triangles from wood.