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November 20, 2014 A A X C B C B Z Triangles ABC and XYZ are congruent. Vertices match up: A with X B with Y C with Z Y X Z Y A A X X C B Y Z Triangles ABC and XYZ are congruent. Corresponding angles: <A & <X <B & <Y <C & <Z C B Z Triangles ABC and XYZ are congruent. Corresponding sides: AB & XY BC & YZ AC & XZ Y 4.1 Congruent Figures Definition of Congruent Triangles: Congruent figures have the same shape and size. A B Two triangles are congruent if and only if their vertices can be matched up so that corresponding parts (angles and sides) of the triangles are congruent. X C Y Z November 20, 2014 R R A A Y Y N U N U Corresponding parts are congruent. S Corresponding parts are congruent. S R WHEN NAMING A POLYGON, YOU MUST NAME THE VERTICES IN ORDER!!!! A Y N U ΔRAY ≅ ΔSUN ΔAYR ≅ ΔUNS ΔYRA ≅ ΔNSU ... S Suppose you know that ΔXYZ ≅ ΔABC. From the definition of congruent triangles you know, that... XY ≅ AB <X ≅ <A Corresponding parts of congruent triangles are congruent. or you can say.... Corr. parts of ≅ Δs are ≅. or you can say.... CPCTC November 20, 2014 Two polygons are congruent if and only if their vertices can be matched up so that corresponding parts are congruent. E B WHEN NAMING A POLYGON, YOU MUST NAME THE VERTICES IN ORDER!!!! C Fill in the blank with always, sometimes, or never. An acute triangle is _____________ congruent to an obtuse triangle. R H K A O BRAKE ≅ CHOKE KE is a common side. Fill in the blank with always, sometimes, or never. A polygon is _____________ congruent to itself. Fill in the blank with always, sometimes, or never. A right triangle is _____________ congruent to another right triangle. November 20, 2014 Fill in the blank with always, sometimes, or never. Fill in the blank with always, sometimes, or never. If ΔABC ≅ ΔXYZ, <A is _____________ congruent to <Y. If ΔABC ≅ ΔXYZ, <B is _____________ congruent to <Y. Fill in the blank with always, sometimes, or never. Suppose ΔTIM ≅ ΔBER. Complete. If ΔABC ≅ ΔXYZ, AB is _____________ congruent to YZ. IM ≅ ___________ Suppose ΔTIM ≅ ΔBER. Complete. Suppose ΔTIM ≅ ΔBER. Complete. ___________ ≅ <R ΔMTI ≅ ___________ November 20, 2014 Complete. If ΔABC ≅ ΔXYZ, m<B = 80, and m<C = 50, name four congruent angles. Complete. Write six congruences that must be correct when ΔABC ≅ ΔDEF.