To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles...
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Transcript of To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles...
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.
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!
1. For which situation could you prove ∆1 ∆2 using the Hypotenuse-Leg Theorem?
A. I onlyB. II onlyC. III onlyD. II and III
2. Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?
A
CB D
| |
A. Yes; ∆CAB ∆DACB. Yes; ∆ACB ∆ACDC. Yes; ∆ABC ∆ACDD. No, the triangles
cannot be proven
congruent.
3. What additional information will allow you to prove the triangles congruent by the HL Theorem?
A
E
B
D
C
|
|
.A A EB. mBCE = 90C. AC DCD. AC BD
4. is perpendicular to 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?
A. HL, AAS, ASA, and SASB. HL, AAS, and ASAC. HL and ASAD. HL, AAS, ASA, SAS, and
SSS
5. Is ∆PQS ∆RQS by HL? If so, name the legs that allow the use of HL.
P
Q
R
S
A. SQ PRB. PS RSC. PQ RQD. SQ SQ