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Homework: p.322: 5-15 4-5: LL, HA, LA, HL Objectives
Use the right triangle congruence theorem to prove relationships in geometric figures Vocabulary: None They call me Mr. Pig!
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Concept: Right Triangle Congruence Theorems
LL HA LA HL
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Example 1: Choosing the Correct Postulate
Look at each figure and determine which, if any, of the Right Triangle Congruence Theorems can be used. B HL A No LA C
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Student Led Example 1: Choosing a Postulate
Choose the correct postulate for each situation HA A B C LL HL Not congruent HA D F LL E
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Student Led Example 1: Whatβs Missing
B State the congruence statement needed π·πΈ β
ππ ππΏ β
ππ» B A LL HA β πΆβ
β πΌ OR β π΅β
β π½ πΉπΈ β
ππΈ OR π·πΉ β
ππ C D LA LA
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Example 2: Right Triangle Proofs
Given: π
π β
ππ , π
π β₯ ππ , ππ β₯ ππ , π is the midpoint of π
π Prove: β π
ππβ
β W Statements Reasons π
π β
ππ , π
π β₯ ππ , ππ β
ππ , π is the midpoint of π
π Given Def. of Midpoint π
π β
ππ HL Ξππ
πβ
Ξπππ CPCTC β π
ππβ
β π
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Student Led Example 2: Right Triangle Proofs
Given π« is the midpoint of πͺπ¬ πͺπ« β
π«π¬ Given ππ©π«πͺβ
πππ«π¬ HL
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End of Lesson
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End of Lesson a. HL shows that Ξπ΄π΅π·β
ΞπΆπ΅π· c. Yes, CPCTC
b. Yes, SSS if the Pythagorean Thm is used to show π΄π· β
πΆπ· c. Yes, CPCTC
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