Given: ABCD is a parallelogram. Diagonals AC, BD intersect at E.
Prove: AE CE and BE S DE
Angles Segments Triangles Statements Reasons
ASA
parallelogram side theorem
✓x
B
с
def. of alt, interior angles
alternate interior angles theorem
E
Statements
v 1. ABCD is a parallelogram
✓ 2. AB || CD
3. Z BAE and ZDCE
are alt, interior angles
Reasons
1. given
2. def. of parallelogram
3. def. of alt, interior angles
A
D
alternate interior angles theorem
Think about the properties of alternate
interior angles.

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The scheme below is from a series of reactions that are part of a synthesis of vitamin a. answer the following questions with reference to this scheme. (i) what is "reagent a"? (ii) draw a step-by-step mechanism which explains the formation of compound c from compound b (iii) which reagents would you use to form compound e from compounds c and d (reagents b and c)? for each reagent suggested above in (ii) explain the role of the reagent in the reaction to (iv) form compound e. you may wish to do this by drawing a mechanism. 1. addition of reagent a но reagent a 2. н,о" thо oh нон-с compound a. compound b. compound c .ch-оh 1. reagent b "сно 2. reagent c сh oh compound e. compound d.