Oscar G.

asked • 05/01/23

Would my answer be correct?

Triangle ABC is a right triangle. Point D is the midpoint of side AB, and point E is the midpoint of side AC. The measure of ∠ADE is 68°.


Triangle ABC with segment DE. Angle ADE measures 68 degrees.


The proof, with a missing reason, proves that the measure of ∠ECB is 22°.


StatementReason
m∠ADE = 68° Given
m∠DAE = 90° Definition of a right angle
m∠AED = 22° Triangle Sum Theorem
segment DE joins the midpoints of segment AB and segment AC Given
segment DE is parallel to segment BC ?
∠ECB ≅ ∠AED Corresponding angles are congruent
m∠ECB = 22° Substitution property



Which of the following can be used to fill in the missing reason?

 Triangle Inequality Theorem 

Midsegment of a Triangle Theorem 

Concurrency of Medians Theorem

 Isosceles Triangle Theorem

I say option 2 but I am not sure, please give me the correct answer

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