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Home > CCG > Chapter 7 > Lesson 7.2.2 > Problem 7-69

7-69.

Jester started to prove that the triangles below are congruent. He was only told that point  is the midpoint of segments  and .

Two lines A, C and B, D intersect at point, E. Triangle A, B, ,E and D, C, E are formed.

Copy and complete his flowchart below. Be sure that a reason is provided for every statement.

Bubble 1 has an arrow pointing down to bubble 3.

 Given Bubble 1 has an arrow pointing down to bubble 4.


Angle A, E, B, is congruent to angle C, E, DVertical angles are congruent.

Fill in bubble 3


A, E is congruent to C, E Definition of midpoint.

Bubble 2 has an arrow pointing down to bubble 5.

Bubble 3 has an arrow pointing down to bubble 5.

Bubble 4 has an arrow pointing down to bubble 5.

Fill in bubble 5

 

Bubble 1 has an arrow pointing down to bubble 3.

 Given Bubble 1 has an arrow pointing down to bubble 4.


Vertical angles are congruent.



Definition of midpoint.

Bubble 2 has an arrow pointing down to bubble 5.

Bubble 3 has an arrow pointing down to bubble 5.

Bubble 4 has an arrow pointing down to bubble 5.