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Proving Triangles Congruent Lesson 17a Question of the Day: Using the information given, state the corresponding parts and the congruence criteria shown. Given: Line JG ll Line HI; GJ β IH Review Discussion - Corresponding parts of congruent triangles are congruent ___________________: congruent _________________ have matching ______________and ________________ that are _________________________ -_______________________ _________________: If _____________ ______________ of certain ________________________parts are known to be ________________________, then the _______________________are __________________________. -_______________: two pairs of corresponding sides and the angle between them are congruent -______________: all pairs of corresponding sides are congruent -_____________: two pairs of corresponding angles and the side between them are congruent -____________: Two pairs of corresponding angles and the side next to one of them are congruent **THERE IS NO ______________ IN GEOMETRY!!** Congruence Hints: Automatically congruent: Given information: 1.) _______________ side 1.) ______________ transversal ____________ angles 2.) _______________ angles 2.) ______________ and bisect: two ______________ pieces Examples: What criteria proves congruence? State the corresponding parts of the figures. 1.) 2.) LM ll NO What congruence criteria is shown by the information given? List the corresponding parts and explain why they are congruent. 3.) Given: π¨π©β₯πͺπ«,π©C=πͺπ«; 4.) Given:<A β <C; X is the midpoint of DB D A X C B Using the given information, explain why the triangles fit the congruence criteria 4.) Given: JK β LM; JK β₯ LM; βπ½ππΏ β βπΏπΎπ½ by SAS