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CCGPS Geometry 5 – Congruence and Triangles 5.6 – Practice Name: ________________________________________________ Date: _______________________ More Proofs Fill in the missing statements or reasons from the bank: Problem 1: Given: CB AD and CB || AD Prove: BCD DAB Corresponding angles are congruent Given Transitive Property of Congruence Alternate interior angles are congruent Right Angle Congruence Theorem SAS AAS SSS ASA Reflexive Property of Congruence Definition of an Angle Bisector Definition of a Midpoint Problem 2: Given: WOK is isosceles; Point R is the midpoint of WK Prove: OWR OKR Definition of a Midpoint Given Transitive Property of Congruence CPCTC Right Angle Congruence Theorem Definition of an Angle Bisector SAS AAS SSS ASA Reflexive Property of Congruence Definition of an Isosceles Triangle Congruent Base Angles Theorem HL CCGPS Geometry 5 – Congruence and Triangles 5.6 – Practice Problem 3: Given: VO RO and PR || VE Prove: PRO EVO Alternate Interior Angles are Congruent SAS AAS Definition of a Midpoint SSS ASA Transitive Property of Congruence Reflexive Property of Congruence Vertical Angles are Congruent Corresponding Angles are Congruent Definition of an Angle Bisector PO EO VO RO PR EV PRO EVO RPO VEO POR EOV Fill in the missing statements or reasons: Problem 4: Given: Point I is the midpoint of XM Point I is the midpoint of AO Prove: AXI OMI
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