SSS Similarity Theorem: Exploration

Position the triangles anywhere you'd like! Then slide the slider slowly Yet before checking the checkbox that appears (upper left corner), please answer the questions that follow first.

What do you notice about all 3 sides of one triangle when compared with all 3 sides of the other triangle?

勾選所有適當的選項

A
All 3 sides of one triangle are congruent to all 3 sides of the other triangle.
B
All 3 sides of one triangle are in proportion to all 3 sides of the other triangle.
C
Ratios of all pairs of corresponding sides between both triangles are equal.
D
Each side length of one triangle is the same percentage of its corresponding side length of the other triangle.
E
None of the above statements are true.

Now click the checkbox in the upper left corner. Then slide the slider the rest of the way slowly. What can you conclude about these triangles?

勾選所有適當的選項

If you said the triangles were similar above, what justifies why these triangle are indeed similar?

勾選所有適當的選項