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Geometry Mini-Lesson. Mary is asked to prove that is congruent to in the figure.
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Geometry Mini-Lesson Mary is asked to prove that is congruent to in the figure. She writes the following proof:Step 1: is congruent to because that information is given in the figure.Step 2: is perpendicular to because that information is given in the figure.Step 3: is congruent to by the reflexive property.Step 4: ADB and CDB are right angles because perpendicular lines meet to form right angles.Step 5: ADB is congruent to CDB because all right angles are congruent.Step 6: _____________________________Step 7: By CPCTC, is congruent to . Which of the following answer choices is correct for Step 6? • ΔABD is congruent to ΔCBD by SSS. • ΔABD is congruent to ΔCBD by SAS. • ΔABD is congruent to ΔCBD by AAS. • ΔABD is congruent to ΔCBD by ASA. MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles
Geometry Mini-Lesson What can you prove to be true about the two triangles in the diagram provided? • ΔABC is similar but not congruent to ΔXYZ. • ΔABC is similar and congruent to ΔXYZ. • ΔABC is congruent but not similar to ΔXYZ. • There is not enough information to conclude any relationship between ΔABC and ΔXYZ. MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles
Geometry Mini-Lesson Given the figure, which of the answer choices is TRUE? • ΔABC and ΔXYZ are congruent by ASA • ΔCBA and ΔZYX are congruent by ASA • ΔCAB and ΔZXY are congruent by AAS • ΔABC and ΔZYX are congruent by AAS MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles
Geometry Mini-Lesson Given the figure, which of the answer choices is TRUE? • ΔCBA and ΔDEC are congruent by ASA and is congruent to by CPCTC. • ΔABC and ΔDEC are congruent by ASA and is congruent to by CPCTC. • ΔBCA and ΔECD are congruent by AAS and is congruent to by CPCTC. • ΔCAB and ΔCDE are congruent by AAS and is congruent to by CPCTC. MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles
Geometry Mini-Lesson MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles
Geometry Mini-Lesson MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles
Geometry Mini-Lesson MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles
Geometry Mini-Lesson MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles
Geometry Mini-Lesson MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles