Q3 Performance Task 3

Ace geometry proofs! Practice triangle congruence, angles, and definitions.

Fill-in the blanks with the correct word to make the statements true. SAS If two sides and an included angle of one triangle is congruent to the corresponding two sides and an included angle of another triangle then the two triangles are congruent. Complete the proof by arranging the statements and its corresponding reasons Given : and bisect each other at Z.Prove: Statements AB and CD bisect each other at Z AZ is congruent to BZ; CZ is congruent to DZ angle AZD is congruent to angle BZC Triangle AZD is congruent to triangle BZC AD is congruent to BC Reasons Given Definition of Segment bisector VAT SAS congruence postulate CPCTC Matching-Type Tell whether the given statement is a axiom, postulate, definition theorem or corollary. SAS Postulate Vertical angles are congruent Theorem A midpoint divides a segment into two congruent parts definition A number is congruent to itself Axiom If parallel lines are cut by a transversal then a pair of alternate interior angles are congruent Theorem If A =B, B = C then A = C Axiom If two angles of a triangle and its included side is congruent to the corresponding 2 angles of another triangle then the two triangles are congruent Postulate PSSEAS Corollary PCAC Postulate Statements MATH is a parallelogram segment MA is congruent to segment HT MT is congruent to MT angle ATM is congruent to angle HMT Triangle ATM is congruent to triangle HMT segment At is congruent to segment HM Reasons Given definition of a parallelogram Reflexive Property of congruence PAIC Theorem SAS congruence postulate CPCTC PCAC PostulateIf two parallel lines are cut by a transversal then then the pairs of corresponding angles are congruent.