Lesson 1.4.4: congruence criteria for triangles - aas and hl |
For this lesson there are 17 steps for you to take. Scroll down and do each step one-by-one. The instructions under each step will help clarify exactly what you need to do, so please read all the instructions.
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Here is your Lesson 1.4.4 Worksheet
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1.) Notes: Targets
Here are your targets for this lesson. Please start your notes with them:
Here are your targets for this lesson. Please start your notes with them:
- I can explain the congruency shortcuts AAS and HL and use them in proofs.
- I can explain why SSA and AAA are not congruency shortcuts.
3.) Video: Warm Up
Here I go with the warm up. See if we wrote the proof the same way. |
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4.) Video: Vocab
Here are two new shortcuts. Make sure to have this vocab in your notes with the examples. |
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6.) Video: Proving AAS
Watch how I use what we already know about triangle congruency shortcuts to prove AAS. |
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8.) Video: Proving HL
Watch how I proved HL. But only after you attempted it on your own first! |
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9.) Notes: Investigation (SSA)
Follow these steps to see if SSA is a shortcut...
Follow these steps to see if SSA is a shortcut...
- Draw a 30 degree angle so that one side is exactly 2 inches.
- Turn the angle into a triangle by drawing the third side, but the third side has to be exactly 1.5 inches.
- Is the triangle you drew the only option?
- How does this help us think about SSA? Is it a shortcut?
10.) Video: Disproving SSA
Watch this video to see how I follow the steps in part 9 and talk about SSA. |
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11.) Video: Disproving AAA
Watch this video to hear an explanation of why AAA is not a congruency shortcut. |
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12.) Notes: List of shortcuts
Make a list in your notes of all the triangle congruency shortcuts and then make a list of the criteria that are NOT shortcuts.
Congruency Shortcuts
NOT Shortcuts
Make a list in your notes of all the triangle congruency shortcuts and then make a list of the criteria that are NOT shortcuts.
Congruency Shortcuts
- SAS
- ASA
- SSS
- AAS
- HL
NOT Shortcuts
- AAA
- SSA
14.) Video: Practice 1
Watch as I write a proof for practice #1. |
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16.) Video: Practice 2
Watch as I write a proof for practice #2. |
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