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BaindMath Updated: Assigned PracticeNameMattha-Burleigperiod Mark the information in the diagram and then complete the flowchart proof.Given: and Prove: List the three congruencies from the given statement or the diagram:List Remaining Congruent Parts:because...Therefore...(What you wanted to prove)
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Q. BaindMath Updated: Assigned PracticeNameMattha-Burleigperiod Mark the information in the diagram and then complete the flowchart proof.Given: and Prove: List the three congruencies from the given statement or the diagram:List Remaining Congruent Parts:because...Therefore...(What you wanted to prove)
- Given: Given: and To prove: List the three congruencies from the given statement or the diagram:. (Given). (Given)
- List Congruent Parts: List Remaining Congruent Parts:We need to identify any other congruent parts that are not explicitly given but can be inferred from the diagram or the properties of geometric figures.If , then by definition of a midpoint, point is the midpoint of , which implies .
- Inferred Congruent Parts: because... We can use the fact that if two sides of a triangle are congruent, then the angles opposite those sides are also congruent (Isosceles Triangle Theorem). In triangle and triangle : (Given) (Given) (Common side)
- Conclusion: Therefore...By Side-Side-Side (SSS) congruence postulate, triangle .
- Conclusion: Therefore... By Side-Side-Side (SSS) congruence postulate, triangle . (What you wanted to prove) Since the triangles are congruent, their corresponding parts are congruent as well. Therefore, .
