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:/RQTis supplementary to/1,and/RST is supplementary to/2./1 >/2 /RTQ>/RTS /RQT>/RST RT>RT $QRT>$SRT QT>ST RT1 2 QS126.96.36.199.5.6.7.Given:GivenGivenCorredsponding ptarts fof congruet tnt triliangles are congruent. 1212In 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 Ideas1Classifying triangles by sides and angles2Proving that triangles are congruent3Using coordinate geometry to investigate triangle relationships• trianglescalene, isosceles, equilateral, acute, right,obtuse, equiangular• interior angles• exterior angles• corollary• congruent figures• corresponding parts• rigid motion• right trianglelegs, hypotenuse• flow proof• isosceles trianglelegs, vertex angle, base, base angles• transformationtranslation, reflection, rotationKEYVOCABULARYTriangles are used to add strength to structures in real-world situations. For example, the frame of a hang glider involves several triangles. GeometryThe animation illustrated below helps you answer a question from this chapter: What must be true about }QTand }STfor the hang glider to fly straight?Geometryat my.hrw.com Why?NowScroll down to see the information needed to prove that }QT>}ST.