Chapter 04 Student.pdf - 4 Lesson 4.1 CC.9-12.G.CO.10 4.2 CC.9-12.G.CO.7 4.3 CC.9-12.G.CO.6 4.4 CC.9-12.G.CO.8 4.5 CC.9-12.G.CO.8 4.6 CC.9-12.G.CO.8 4.7

# Chapter 04 Student.pdf - 4 Lesson 4.1 CC.9-12.G.CO.10 4.2...

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Congruent Triangles Previously, you learned the following skills, which you’ll use in this chapter: classifying angles, solving linear equations, finding midpoints, and using angle relationships. Prerequisite Skills VOCABULARY CHECK Classify the angle as acute , obtuse , right , or straight . 1. m A 5 115 8 2. m B 5 90 8 3. m C 5 35 8 4. m D 5 95 8 SKILLS AND ALGEBRA CHECK Solve the equation. 5. 70 1 2 y 5 180 6. 2 x 5 5 x 2 54 7. 40 1 x 1 65 5 180 Find the coordinates of the midpoint of } PQ . 8. P (2, 2 5), Q ( 2 1, 2 2) 9. P ( 2 4, 7), Q (1, 2 5) 10. P ( h , k ), Q ( h , 0) Determine whether the angles are congruent. If so, explain why. 11. 2, 3 12. 1, 4 13. 2, 6 14. 3, 4 2 1 3 5 4 6 Before © Bill Ross/Corbis 4.1 Apply Triangle Sum Properties 4.2 Apply Congruence and Triangles 4.3 Relate Transformations and Congruence 4.4 Prove Triangles Congruent by SSS 4.5 Prove Triangles Congruent by SAS and HL 4.6 Prove Triangles Congruent by ASA and AAS 4.7 Use Congruent Triangles 4.8 Use Isosceles and Equilateral Triangles 4.9 Perform Congruence Transformations 204 4 Lesson 4.1 CC.9-12.G.CO.10 4.2 CC.9-12.G.CO.7 4.3 CC.9-12.G.CO.6 4.4 CC.9-12.G.CO.8 4.5 CC.9-12.G.CO.8 4.6 CC.9-12.G.CO.8 4.7 CC.9-12.G.CO.10 4.8 CC.9-12.G.CO.10 4.9 CC.9-12.G.CO.2
Start Statement Reasons 1. 2. 3. 4. 5. 6. 7. Given: Reasons: Given Given Reflexive Property of Segment Congruence AAS Congruence Theorem Corresponding parts of congruent triangles are congruent. Definition of Linear Pair Congruent Supplements Theorem Statements: / RQT is supplementary to / 1, and / RST is supplementary to / 2. / 1 > / 2 / RTQ > / RTS / RQT > / RST RT > RT \$ QRT > \$ SRT QT > ST R T 1 2 Q S 1. 2. 3. 4. 5. 6. 7. Given: Given Given Corre d sponding p t arts f of congrue t t nt tr i l iangles are congruent. 1 2 1 2 In this chapter, you will apply the big ideas listed below and reviewed in the Chapter Summary. You will also use the key vocabulary listed below. Big Ideas 1 Classifying triangles by sides and angles 2 Proving that triangles are congruent 3 Using coordinate geometry to investigate triangle relationships • triangle scalene, isosceles, equilateral, acute, right, obtuse, equiangular • interior angles • exterior angles • corollary • congruent figures • corresponding parts • rigid motion • right triangle legs, hypotenuse • flow proof • isosceles triangle legs, vertex angle, base, base angles • transformation translation, reflection, rotation K EY V OCABULARY Triangles are used to add strength to structures in real-world situations. For example, the frame of a hang glider involves several triangles. Geometry The animation illustrated below helps you answer a question from this chapter: What must be true about } QT and } ST for the hang glider to fly straight? Geometry at my.hrw.com Why? Now Scroll down to see the information needed to prove that } QT > } ST .