Triangle Congruence 2 - Baltimore Polytechnic Institute
Unit #9: Triangle Congruence POSTULATESCongruent PolygonsSSSSASAASHLASACongruence StatementCorresponding PartsCPCTCDates, assignments, and quizzes subject to change without advance noticeMondayTuesdayBlock DayFriday 7/8Congruent PolygonsSSS and SAS9ASA, AAS, and HL12Proofs13 QUIZ CPCTC14/15 ReviewTEST – (Proofs)16TEST Wednesday, 11/7/12 or Thursday, 11/8/12 4-3 and 4-4: Congruent Triangles, SSS and SASI can use the properties of equilateral triangles to find missing side lengths and angles.I can write a congruency statement representing two congruent polygons.I can identify congruent parts of a polygon, given a congruency statement.I can prove triangles are congruent using SSS, ASA.PRACTICE: pg. 234 #3-11, 19, 22-25, 31 (15 problems) Triangle Congruence Worksheet #1Friday, 11/9/12 4-5: ASA, AAS, and HLI can prove triangles are congruent using ASA, AAS, and HLI can mark pieces of a triangle congruent given how they are to be proved congruent.PRACTICE: Triangle Congruence Worksheet #2Monday, 11/12/12Triangle Congruence Proofs I can write a two-column proof to show that two triangles are congruent. PRACTICE: Triangle Proofs Worksheet Part 1Tuesday, 11/13/124-6: Triangle Proofs with CPCTC QUIZI can write a two-column proof to show that two triangles are congruent. PRACTICE: Triangle Proofs Worksheet Part 2Wednesday, 11/14/12 or Thursday, 11/15/12 Review Test: Triangle Properties (Proofs)I can assess my knowledge and prepare for the test. PRACTICE: Review WorksheetFriday, 11/16/12 Test: Triangle PropertiesI. Name the congruent triangles.1.2. COGRAEAI9144003124200312420BOXFOX3. 4. ELRNII. Name the congruent triangle and the congruent parts..80645558807. Use the congruency statement to fill in the corresponding congruent parts.8. 9. . Find x.10. Find y.RQNMP x°ABCD(3y)°21°35oThird Angles Theorem (add to Theorems, Postulates and Definitions Card) – 0147320 Triangle Congruence Worksheet #1For each pair of triangles, tell which postulates, if any, make the triangles congruent.1. ABC EFD______________2. ABC CDA ______________CADBCABDFE3. ABC EFD______________4. ADC BDC______________ABDCACBDFE5. MAD MBC ______________6. ABE CDE ______________ABECDDACBM3467100304807. ACB ADB ______________ 8. ______________ ACDB3238501555759. ______________ Triangle Congruence Worksheet #2I. For each pair of triangles, tell which postulate, if any, can be used to prove the triangles congruent.1. AEB DEC______________2. CDE ABF ______________AECDBADEFBC3. DEA BEC______________4. AGE CDF ______________ABCDE3352800304805. RTS CBA______________6. ABC ADC ______________ABDCTSRBCA7. BAP BCP______________8. SAT SAR ______________Given: BD bisects ABCATSRADBPCII.For each pair of triangles, tell: (a) Are they congruent (b) Write the triangle congruency statement. (c) Give the postulate that makes them congruent.LOVEEAABDEC1.2. 3. Given: T is the midpoint of WRTRWa. ______________a. ______________a. ______________b. _____ _____b. _____ _____b. _____ _____c. ______________c. ______________c. ______________LUGE4.5. Given: IH Bisects WIS6.SHWIa. ______________a. ______________a. ______________b. _____ _____b. _____ _____b. _____ _____c. ______________c. ______________c. ______________1978025278765H02787657.8.9.PATMa. ______________a. ______________a. ______________b. _____ _____b. _____ _____b. _____ _____c. ______________c. ______________c. ______________10. Given: I is the midpoint 11. 12.CF of ME and SL226695062865LMIESDABEa. ______________a. ______________a. ______________b. _____ _____b. _____ _____b. _____ _____c. ______________c. ______________c. ______________III.Using the given postulate, tell which parts of the pair of triangles should be shown congruent.1.SAS2. ASA3. SSSABCDCABDEFFADEBC_______ ________ ________ _______________ _______PRSQ4. AAS5. HL6. ASADCBAPSTRQ_______ ________ ________ _______________ _______For each problem below, write a two-column proof on a separate piece of paper. I. Proving Triangles Congruent:1. 5. 2. 16700519053.6. 4. II. Using CPCTC123903980-31757. 10. 1492250385318069858. 11. 9. Review: Triangles and Triangle CongruenceYou will need a separate piece of paper to show all your work. This review is not comprehensive; always be sure to go back through your old homework and quizzes. CARGEOI can write a congruency statement representing two congruent polygonsWrite a congruency statement for the two triangles at right. I can identify congruent parts of a polygon, given a congruency statementList ALL of the congruent parts if XYWZV22p20(7p+13)I can use algebra to find the side lengths and angle measures of congruent polygons Find p. DC(2x + 7)°12BA(x – 8x)° Find x.I can name the five ways to prove triangles are congruent Name the 5 ways to prove triangles congruent.I can prove triangles are congruentFor each pair of triangles, tell: (a) Are they congruent (b) Write the triangle congruency statement. (c) Give the postulate that makes them congruent.ABCDAWTERGiven: I is the midpoint of ME and SLSLMIEPRSQI can mark pieces of a triangle congruent given how they are to be proved congruentWhat information is missing to use HL? What information is missing to use SAS? DCABIV. For which value(s) of x are the triangles congruent?3. x = _______________4. x = _______________AD1m 3 = x2m 4 = 7x - 10BEC2344x + 87x - 4ABRCWSRZTx2 + 2xx2 + 245. x = _______________x2 + 3xDABC9x - 8 I can write a two-column proof over congruent triangles Complete and review ALL proofs on the proofs worksheet. ................
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