Similarity
Use corresponding angles, length ratios, and triangle criteria to identify similarity and distinguish length, area, and volume ratios.
Meaning
Similar figures have the same shape, equal corresponding angles, and a constant corresponding-length ratio. Triangle similarity can follow from three side ratios, two side ratios with the included angle, or two equal angles.
Example
Practice for this concept
Scope and references
Topics
Similarity criteria, scale factors, parallel lines and proportional segments, area and volume ratios
Learning goal
Use corresponding angles, length ratios, and triangle criteria to identify similarity and distinguish length, area, and volume ratios.
Helpful background
Check corresponding sides, angles, and equivalent ratios.
Similarity
These choice exercises use stated geometric conditions. They do not establish construction, drawing, spatial manipulation, written proof, or mastery of the whole geometry area.