1201 Individual test

Name: ______________________

 

Question 1

Given line AB is parallel to line CH and line DG is a transversal intersecting AB and CH at points F and E.

a. Name three angles which are congruent to –AFD.

 

 

 

 

 

b. For each angle you named in part a, state what theorem tells you that the angle is congruent to –AFD.

Angle Theorem

 

 

 

 

 

 

 

c. Write proofs for two of the theorems you named in part b.

 

1201 Individual test Page 2

Question 2

Given –EBC is a right angle,
–EDB is a right angle,
m–BEC=30°ree;, and m–CED=40°ree;.

Determine the measures of all other angles. Provide reasons.

 

 

 

1201 Individual test Page 3

Question 3

Given quadrilateral ABCD with G the midpoint of segment AB and H the midpoint of segment AD. K is the intersection of line HK (parallel to AB) and line GK (parallel to AD).

Prove that point K is on segment DB.

(Hint: Add lines to the diagram if necessary.)

 

 

 

 

 

 

 

 

 

 

 

 

Bonus: What else can you prove?