2.5.3 Journal: Proofs of Congruence The Engineers' Conjectures: The engineers are designing a bridge truss, and they need to prove that two triangles inside the truss are congruent. 1. Complete the table to summarize what you know about each engineer's conjecture: (2 points: 1 point for each row of the chart) Engineer Conjecture Natalie Emma 2. Analyze the conjectures. Who do you think is correct, and why? (1 point) Analyzing the Data 3. Here is a picture of the bridge truss, and the given information: Fill out the two-column proof to prove that BED BEF. You may not need to use all the rows. (5 points) Statement Reason 4. State how you know that BDF is an isosceles triangle. (2 points) 5. Using the previous problem, fill out the two-column proof that ABD CBF. You may not need to use all t
Accepted Solution
A:
Statement Reason
AB and BC are congruent
CPCTC
DB and FB are congruent
CPCTC
Angle EBD congruent to angle EFB
CPCTC
Angle ABD congruent to angle EBD
Alternate angle theorem
Angle FBC congruent to angle EFB
Alternate angle theorem
ABD CBF
SAS theorem