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5.2 Using Congruent Triangles: CPCPC
Objective: • Define CPCTC • Use CPCTC to solve triangles
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Concept: C.P.C.P.C. Corresponding Parts (of) Congruent Polygons (are)
If two polygons are congruent, then their corresponding parts are also congruent.
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Concept: Corresponding ?
We have seen the word “Corresponding” before. Recall: Corresponding means “same place” The order we write the statements is important. means that: A corresponds to D B corresponds to E C corresponds to F
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Concept: Congruent Figures?
• Congruent figures have the same size and shape. • Corresponding sides are congruent. • Corresponding angles are congruent. That means:
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Concept: Using CPCPC? You can use CPCPC to determine if two triangles are congruent. Determine if the triangles are congruent. Explain. 6.9 cm G because: M P 60º 30º 9.2 cm 11.5 cm 11.5 cm 9.2 cm 30º 60º J H Q 6.9 cm
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Concept: Using CPCPC? You can also use CPCPC to solve for a given variable. Remember, CPCTC means that if two triangles are congruent, then the corresponding parts are congruent also. X V Given that: are congruent, find w. 36º 4w = 180 U 4w + 72= 180 – –72 (4w + 14)º 4w = 108 Y ___ ___ 22º w = 27 Z T
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