1201 Group test Names: ______________________

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Question 1

 

a. State Richard’s Alternate Angles of Parallel Lines Theorem.

 

 

 

 

 

 

b. State the converse of Richard’s Alternate Angles of Parallel Lines Theorem.

 

 

 

 

 

 

 

 

d. Given line FE intersecting lines FB and CE so that BFE@–CEF.

Prove that line FB is parallel to line CE.

(Hint: What would happen if line FB was not parallel to line CE?)

 

 

 

1201 Group test Page 2

Question 2

 

 

Given quadrilateral ABCD with E the midpoint of CD, F the midpoint of BC,
G the midpoint of AB
and H the midpoint of AD.

Prove that HG is parallel to EF.

(Hint: Add lines to the diagram if necessary)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Bonus: What else can you prove?