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Download Name Date • Congruent triangles • If is congruent to , then the of the tw
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Transcript
Name Date Congruent triangles If _______________ is congruent to _______________, then the _______________ of the two triangles correspond in the same order as the letters naming the triangle. ______________________________ This correspondence of vertices can be used to name the corresponding congruent _______________ and _______________ of the two triangles. ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ CPCTC o Stands for: o Definition: Ex. 1 Corresponding Congruent Parts The seat and legs of this stool form two triangles. Suppose the measures, in inches, are QR = 12, RS = 23, QS = 24, RT = 12, TV = 24 AND RV = 23. a) Name the corresponding congruent angles and sides. ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ b) Name the congruent triangles. Ex. 2 Corresponding Congruent Parts a) Name the corresponding congruent angles and sides. ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ b) Name the congruent triangles. Ex. 3 Corresponding Congruent Parts a) Name the corresponding congruent angles and sides. ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ b) Name the congruent triangles. Ex. 4 Corresponding Congruent Parts a) Name the corresponding congruent angles and sides. ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ b) Name the congruent triangles. Ex. 5 Finding Missing Sides Given: Triangle QRS Triangle GHJ, RS = 12, QR = 10, QS = 6, and HJ = 2x – 4. a) Draw and label a figure to show the congruent triangles. b) Solve for x. Ex. 6 Finding Missing Angles Given: Triangle JKL Triangle DEF, m J = 36, m E = 64, and m F = 3x + 53. a) Draw and label a figure to show the congruent triangles. b) Solve for x.
