Presentation on theme: "Entry task Socractive Multiple Choice"— Presentation transcript:
1 Entry task Socractive Multiple Choice A – Yes, continue to make the assignments online as much as possibleB – No, I don’t want any more online assignmentsC – A even mix is good
2 4.6 Congruence in Right Triangles Learning TargetI can prove triangles congruent by using Hypotenuse – Leg Theorem. (HL)Success Criteria: I understand HL and can use it correctly in a proof
3 Conditions for HL Theorem: There are two right trianglesThe triangles have congruent hypotenuseThere is one pair of congruent legs
4 Example 4A: Applying HL Congruence Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know.According to the diagram, the triangles are right triangles that share one leg.It is given that the hypotenuses are congruent, therefore the triangles are congruent by HL.
5 Example 4B: Applying HL Congruence This conclusion cannot be proved by HL. According to the diagram, the triangles are right triangles and one pair of legs is congruent. You do not know that one hypotenuse is congruent to the other.
6 Check It Out! Example 4Determine if you can use the HL Congruence Theorem to prove ABC DCB. If not, tell what else you need to know.Yes; it is given that AC DB. BC CB by the Reflexive Property of Congruence. Since ABC and DCB are right angles, ABC and DCB are right triangles. ABC DCB by HL.
7 At your tables Proof Statements | Reasons PS = QR 1)Given PR = PR ) reflexive<QPR and <PRS are rt 3) GivenPRS = PRQ 4) HL
10 Exit SlipIdentify the postulate or theorem that proves the triangles congruent.HLASASAS or SSS
11 Do Now: Discuss a Plan with your group! 4. Given: FAB GED, ABC EDC, AC ECProve: ABC EDC
12 Lesson Quiz: Part II Continued 5. ASA Steps 3,45. ABC EDC4. Given4. ACB EDC; AC EC3. Supp. Thm.3. BAC DEC2. Def. of supp. s2. BAC is a supp. of FAB; DEC is a supp. of GED.1. Given1. FAB GEDReasonsStatements