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Name Class 4-4 Date Practice Form K Using Corresponding Parts of Congruent Triangles 1. Developing Proof State why the two triangles are congruent. Then list all other corresponding parts of the triangles that are congruent. QuickTime™ and a decompressor are needed to see this picture. 2. Developing Proof State why ∆AXY and ∆CYX are congruent. Then list all other corresponding parts of the triangles that are congruent. 3. Given: QS RT , R S Prove: QTS TQR To start, determine how you can prove the triangles are congruent. The triangles share a side and have a pair of congruent angles. alternate interior angles SQT and Because QS are congruent. The triangles can be proven congruent by AAS. Statements Reasons 1) 1) Given 2) 2) Alternate interior 3) 3) Reflexive Property of Congruence 4) 4) AAS 5) 5) Corresp. parts of are . Reasoning Copy and mark the figure to show the given information. Explain how you would prove AB DE . 4. Given: AC DC, B D 5. Given: AE bisects BD , DB bisects AE 6. Given: AB DE , AC = EC Prentice Hall Foundations Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 35 are . Name Class 4-4 Date Form K Practice (continued) Using Corresponding Parts of Congruent Triangles 7. Given: GK is the perpendicular bisector of FH . Prove: FG HG Statements Reasons 1) GK is the perpendicular bisector of FH . 1) 2) 2) Def. of perpendicular bis. 3) GKF GKH 3) Def. of perpendicular bis; all right are . 4) 4) Refl. Prop. of 5) ∆FGK ∆HGK 5) 6) 6) Corresp. parts of are . 8. Given: ABCE is a rectangle. D is the midpoint of CE . Prove: AD BD Statements 1) ABCE is a rectangle. D is the midpoint of CE . Reasons 1) Given 2) AED BCD 2) Definition of rectangle 3) AE BC 3) Definition of rectangle 4) 4) 5) 5) 6) 6) Prentice Hall Foundations Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 36