Congruent Parts Part 2

​Learning Targets

• ​I can identify corresponding parts from a congruence statement.

• I can use rigid transformations to explain why figures are congruent.

• I can write a congruence statement.

​Congruence Statement

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​In the Figure, △ABC is congruent to △DEF. The symbol for congruence is ≅ and we write △ABC≅△DEF. ∠A corresponds to ∠D,  ∠B corresponds to ∠E, and ∠C corresponds to ∠F. Side AB corresponds to DE, BC corresponds to EF, and AC corresponds to DF.

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The Congruence Statement:  △ABC≅△DEF△ABC≅△DEF will always be written so that corresponding vertices appear in the same order, For the triangles in the figure we might also write △BAC≅△EDF, or △ACB≅△DFE but never for example △ABC≅△EDF nor △ACB≅△DEF.

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Therefore, we can always tell which parts correspond just from the congruence statement. For example, given that △ABC≅△DEF, side AB corresponds to side DE because each consists of the first two letters, AC corresponds to DF because each consists of the first and last letters, BC corresponds to EF because each consists of the last two letters.

​Learning Targets

• ​I can identify corresponding parts from a congruence statement.

• I can use rigid transformations to explain why figures are congruent.

• I can write a congruence statement.

​Complete Exit Ticket in It's Learning