Terminologies of Similarities

2. MEAN The value $x$ in the proportion $a/x = x/b$.
5. Angles or sides that are in the same relative position in similar figures.
7. Lines that never intersect and often create similar triangles.
9. A perpendicular segment from a vertex to the opposite side.
11. The ratio of these in similar figures is equal to the scale factor.
12. The first and last terms in a proportion like $a$ and $d$.
17. The middle terms in a proportion like $b$ and $c$.
20. The original figure before a transformation.
21. Angles in similar figures must be this or equal in measure.
22. The fixed point about which a figure is dilated.
23. The ratio of these in similar figures is the square of the scale factor.
24. The mathematician associated with the Basic Proportionality Theorem.
25. A ray that divides an angle into two equal parts.
28. A transformation that produces an image of a different size but the same shape.
29. Similarity theorem involving two sides in proportion and the included angle.
30. The ratio of the length of a model to the length of the real object.

1. A dilation where the scale factor is between 0 and 1.
3. A segment from a vertex to the midpoint of the opposite side.
4. The state or quality of being mathematically alike in shape.
6. A dilation where the scale factor is greater than 1.
8. A comparison of two quantities by division.
10. A segment connecting the midpoints of two sides of a triangle.
13. The resulting figure after a transformation.
14. FACTOR The ratio of the lengths of two corresponding sides.
15. An equation stating that two ratios are equal.
16. A line that crosses two or more other lines.
18. Having the same shape but not necessarily the same size.
19. The ratio of these in similar solids is the cube of the scale factor.
26. Similarity theorem where all three sets of corresponding sides are in proportion.
27. The postulate stating triangles are similar if two angles are congruent.