A community for students.
Here's the question you clicked on:
 0 viewing
Stormegeddon
 3 years ago
Geometry Proof. Please HELP!!!! (Prove in six steps)
Given: AD is a straight line, and AE = DB, AC = DF, <A = <D
Prove: <C = <F
Stormegeddon
 3 years ago
Geometry Proof. Please HELP!!!! (Prove in six steps) Given: AD is a straight line, and AE = DB, AC = DF, <A = <D Prove: <C = <F

This Question is Closed

Stormegeddon
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1353008822424:dw

jazy
 3 years ago
Best ResponseYou've already chosen the best response.1@stormegddon I don't know how to write it. The only way I could think of proving this is: You can prove <C = <F using the SAS theorem for triangles. SAS = SideAngleSide theorem. You know that side AE = DB, angle A = angle D, and side AC = DF. Therefor the two triangles are congruent, so all their angles and sides are the same.

Stormegeddon
 3 years ago
Best ResponseYou've already chosen the best response.0The way we have our proofs set up is like a T box. 1 side has statements and then the other side has the reasons for those statements.

Stormegeddon
 3 years ago
Best ResponseYou've already chosen the best response.0Now I don't understand this proof but this was the example in the book. Proof Statements: (< = Angle) 1) Triangles ABC and DEF with <A = <D, AB = DE, <B = <E 2) Place triangle ABC and triangle DEF so that A coincides with D and AB falls along DE 3.) Point B must coincide with point E 4) AC must fall along DF and BC must fall along EF 5) Point C must coincide with Point F 6) AC = DF 7) Triangle ABC is congruent to triangle DEF PROOF REASONS: 1) Given 2) A geometric figure may be freely moved in space without any change in its form or size (Postulate 5) 3) Definition of equal line segments 4) Def. of equal angles 5) Two lines can intersect at but one point 6) Def. of equal line segments 7) S.A.S. (Theorem 1)

Stormegeddon
 3 years ago
Best ResponseYou've already chosen the best response.0could you give a list of statements and reasons? I am really confused

jasmynarteaga1
 3 years ago
Best ResponseYou've already chosen the best response.1jazy is right just say that triangle ABC is congruent to triangle DEF by Side Angle Side and then say angle C is congruent to angle F by CPCTC.

Stormegeddon
 3 years ago
Best ResponseYou've already chosen the best response.0I need a six step proof though. Some stupid hw assignment it has to be 6 steps. I have 3 of them from what you gave me but what are steps 4, 5, and 6 STATEMENTS: 1) AD is a straight line, and AE = DB, AC = DF, <A = <D 2) 3) 4) 5) triangle ABC is congruent to triangle DEF 6) angle C is congruent to angle F REASONS: 1) Given 2) 3) 4) 5) SAS 6) CPCTE
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.