Exploring Similar Triangle

BrianHan, May 31, 2023

Similar Triangle Exploration

Table of Contents

  1. SSS for Similar Triangle
    1. SSS for Similarity
  2. SAS for Similar Triangle
    1. SAS for Similar Triangles
  3. AA(A) for Similar Triangle
    1. AA(A) Triangle Similarity Investigation
  4. RHS for Similarity
    1. RHS
  5. SSA for similarity??
    1. Does SSA work for similarity?

1.

SSS for Similar Triangle

  • 1. SSS for Similarity

1.1.

SSS for Similarity

What is the scale factor of the corresponding lines? Can you construct two triangles that are with different shapes?
– BrianHan

2.

SAS for Similar Triangle

  • 1. SAS for Similar Triangles

2.1.

SAS for Similar Triangles

– BrianHan

3.

AA(A) for Similar Triangle

  • 1. AA(A) Triangle Similarity Investigation

3.1.

AA(A) Triangle Similarity Investigation

Before starting, adjust the scale factor to the scale you want and adjust triangle ABC to any size you want.[br]（开始前请用滑动条调整一下相似比使得三角形的大小方便你进行调整）[br][br]Step 1: Move point F to make angle E equal to angle B(移动点F使得角E等于角B).[br]Step 2: Move point D to make angle F equal to angle C(移动点D使得角F等于角C)[br][br][b]When you set 2 corresponding angles to be equal, what do you notice?[br]当你将两个对应角调整至相同大小时，你有什么发现？[br][br][br]Do you still find it necessary to include ASA and AAS for determining similarity between two triangles?[br]你觉得有必要包括ASA和AAS作为相似三角形的判定条件吗？[br][/b]
– BrianHan, youngcar, jelaw21

4.

RHS for Similarity

  • 1. RHS

4.1.

RHS

– BrianHan

5.

SSA for similarity??

  • 1. Does SSA work for similarity?

5.1.

Does SSA work for similarity?

Can SSA be used for similarity test? (SSA 可以用来判定相似吗？)[br]Why or why not?(为什么?)
– BrianHan

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