Geometry Mini-Lesson Mary is asked to prove that is congruent to in the figure. She writes the following proof: Step 1: is congruent.

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Presentation transcript:

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 ΔABC is similar but not congruent to ΔXYZ. 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