2. To prove triangles congruent using the HL Theorem
Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles to find why SSA is not a universal rule.
To prove triangles congruent using the HL Theorem

10. Statements Reasons
𝐶𝐷 ≅ 𝐸𝐴 , 𝐴𝐷 𝑖𝑠 𝑝𝑒𝑟𝑑𝑒𝑛𝑑𝑖𝑐𝑢𝑙𝑎𝑟 𝑏𝑖𝑠𝑠𝑒𝑐𝑡𝑜𝑟 𝑜𝑓 𝐶𝐸 Given
⊿𝐶𝐵𝐷 𝑎𝑛𝑑 ⊿𝐸𝐵𝐴 𝑎𝑟𝑒 𝑟𝑖𝑔ℎ𝑡 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒𝑠 Definition of ⊥𝑏𝑖𝑠𝑒𝑐𝑡𝑜𝑟
𝐶𝐵 ≅ 𝐸𝐴 Definition of ⊥𝑏𝑖𝑠𝑒𝑐𝑡𝑜𝑟
⊿𝐶𝐵𝐷 ≅⊿𝐸𝐵𝐴 HL

11. 4-6 Quiz
The following questions are designed to help you determine if you understood today’s lesson
Please record the number you get right on your portfolio sheet
If you do not understand why you missed one of the problems make sure you find time to come and ask me!

12. I only II only III only II and III
1. For which situation could you prove ∆1  ∆2 using the Hypotenuse-Leg Theorem?
I only
II only
III only
II and III

13. No, the triangles cannot be proven congruent.
2. Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?
Yes; ∆CAB  ∆DAC
Yes; ∆ACB  ∆ACD
Yes; ∆ABC  ∆ACD
No, the triangles cannot
be proven congruent.

14. A  E mBCE = 90 AC  DC AC  BD
3. What additional information will allow you to prove the triangles congruent by the HL Theorem?
A  E
mBCE = 90
AC  DC
AC  BD

15. HL, AAS, ASA, and SAS HL, AAS, and ASA HL and ASA
4. 𝐶𝐵 is perpendicular to 𝐴𝐷 at B between A and D. ∠DAC ≌ ∠ADC. By which of the five congruence statements, HL, AAS, ASA, SAS, and SSS, can you conclude ΔABC ≌ΔDBC?
HL, AAS, ASA, and SAS
HL, AAS, and ASA
HL and ASA
HL, AAS, ASA, SAS, and SSS

16. SQ  PR PS  RS PQ  RQ SQ  SQ
5. Is ∆PQS  ∆RQS by HL? If so, name the legs that allow the use of HL.
SQ  PR
PS  RS
PQ  RQ
SQ  SQ

17. Then rate your assignment
4-6 p. 262 – #8-24 even
Then rate your assignment
as to how well you understood the lesson and write why you rated yourself that way.