Unit 4 Review Congruent Triangles - GeometryCoach
Name Date PeriodUnit 4 ReviewCongruent Triangles1. Name all the pairs of corresponding angles.2. Name all the pairs of vertical angles.3. Name all the pairs of alternate interior angles.5. Name all the pairs of consecutive interiorangles.4. Name all the pairs of alternate exterior angles.6. 1 2 7.8.9. Can these figures be proved congruent?Explain your reasoning using theorems,properties, etc.10. Can these figures be proved congruent?Explain your reasoning using theorems,properties, etc.
Name Date Period11. Which congruence postulate would prove12. Which congruence postulate would provethese two triangles congruent?these two triangles congruent?13. Which congruence postulate would provethese two triangles congruent?14. Which congruence postulate would provethese two triangles congruent?15. Which congruence postulate would provethese two triangles congruent?16. Name the third piece of information needed toprove the triangles congruent.̅̅̅ and ̅̅̅̅̅̅Given: ̅̅̅̅CA ̅ZXAB ̅̅XYProve: ABC XYZ using the SAS Postulate17. Name the third piece of information needed toprove the triangles congruent.̅̅̅̅ XY̅̅̅̅Given: B Y and ABProve: ABC XYZ using the AAS Postulate18.
Name Date Period19. Complete the proof.20. Complete the proof.21. Complete the proof.RS22. Complete the proof.
Name Date Period23. Write a two column proof.Given: JL MO, KL NO, K and N are right angles Prove: JKL MNOStatementsReasons24. Write a two column proof.̅̅̅̅ EC̅̅̅̅ , BC̅̅̅̅ DC̅̅̅̅Given: ACProve: ABC EDCAStatementsBReasonsCED25. Write a two column proof.Given: D is the midpoint of ̅̅̅̅AC, ̅̅̅̅AB ̅̅̅̅CBProve: ABD CBDStatementsABReasonsDC
Name Date PeriodUnit 4 Review Answer Key1. 1 & 5, 2 & 6, 3 & 7, 4 & 82. 1 & 4, 2& 3, 6 & 7, 5 & 83. 3 & 6, 4 & 54. 1 & 8, 2 & 75. 3 & 5, 4 & 66. 4, 5, 8 and 3, 6, 77. X 17, y 178. A 9, b 89. 9. Yes, ASA, AAS, SAS, SSS, or HL. EG is reflexive.10. Yes, ASA, SAS, AAS, SSS, or HL. YW is reflexive.11. SSS. MG is reflexive12. SAS13. ASA14. AAS15. HL16. A X17. C Z18. R, G, RG, GX, XR19. CM MZ, GC GZ, Triangle GMC Triangle GMZ20. WX ZY Given, XWZ YZW Alternate Interior Angles are Congruent, WZ ZW Given, TriangleWYZ Triangle ZXW SAS21. PQR SRQ Given, RQ QR Reflexive, PRQ SQR Given, ASA22. G B Given, BCA GAC Alternate Interior Angles are Congruent, CA AC Reflexive, TriangleGCA Triangle BAC AAS23. JL MO Given, KL NO Given, K & N are right angles Given, K N, all right angles arecongruent, Triangle JKL Triangle MNO HL24. AC EC Given, BC DC Given, C C Vertical Angles, Triangle ABC Triangle EDC SAS25. D is the midpoint of AC Given, AD DC Definition of Midpoint, AB CB Given, BD BDReflective, Triangle ABD Triangle EDC SSS
Unit 4 Review Congruent Triangles 1. Name all the pairs of corresponding angles. _ 2. Name all the pairs of vertical angles. _ 3. Name all the pairs of alternate interior angles. _ 4. Name all the pairs of alternate exterior angles. .
Feb 14, 2011 · Ch 4: Congruent Triangles 4‐1 Congruent Figures 4‐2 Triangle Congruence by SSS and SAS 4‐3 Triangle Congruence by ASA and AAS 4‐4 Using Congruent Triangles: CPCTC 4‐5 Isosceles and Equilateral Triangles 4‐6 Congruence in Right Triangles 4‐7 Using Corresponding Parts of Congruent Triangles
Congruent Triangles Strand: Triangles Topic: Exploring congruent triangles, using constructions, proofs, and coordinate methods Primary SOL: G.6 The student, given information in the form of a figure or statement will prove two triangles are congruent. Related SOL: G.4, G.5 Materials Congruent Triangles: Shortcuts activity sheet (attached)
Once we prove triangles are congruent, we know that their corresponding parts (angles and sides) are congruent. We can abbreviate this is in a proof by using the reasoning of: CPCTC (Corresponding Parts of Congruent Triangles are Congruent). To Prove Angles or Sides Congruent: 1. Prove the triangles are congruent (using one of the above .
Sep 03, 2013 · AAS Theorem Another way to show that two triangles are congruent is the Angle-Angle-Side (AAS) Theorem. AAS Theorem If two angles and a nonincluded side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the two triangles are congruent. You now have five ways to show that two triangles are congruent.
Congruent Triangles Identify corresponding parts of congruent figures and be able to prove triangles congruent using SSS, ASA, SAS, AAS, and HL. Use congruent triangles to prove that the corresponding parts are congruent. Apply theorems about isosceles triangles and use the definition and theorems in proofs.
Jul 05, 2018 · Congruent Triangles Reasoning and Proof Reasoning and proof of congruent triangles involves proving congruence of at least two triangles according to five congruent triangles theorems (Secondary School Mathematics Section by People’s Education Press, 2013). The five congruent triangles theorems have the following types: 1.
Unit 2 Congruence Congruent Triangles Textbook section IXL skills Lesson 1: Congruent Parts, Part 1 1.Corresponding parts of congruent polygons UDW Lesson 2: Congruent Parts, Part 2 1.Solve problems involving corresponding parts WYB Lesson 3: Congruent Triangles, Part 1 Lesson 4: Congruent Tr
Unit 4: Congruent Triangles Unit Outcomes: In this unit, the students will classify triangles, find measures of angles in triangles, identify congruent figures, and prove triangles congruent. They will also use theorems about isosceles and equilateral triangles. Students will use coordinate geometry to investigate triangle relationships.
