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Mathematics, 29.07.2020 04:01, montgomerykarloxc24x
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 angle ADE is 36Ā°.
Triangle ABC with segment DE. Angle ADE measures 36 degrees.
The proof, with a missing reason, proves that the measure of angle ECB is 54Ā°.
StatementReason
mā ADE = 36Ā°Given
mā DAE = 90Ā°Definition of a right angle
mā AED = 54Ā°Triangle Sum Theorem
segment DE joins the midpoints of segment AB and segment ACGiven
segment DE is parallel to segment BC?
ā ECB ā
ā AEDCorresponding angles are congruent
mā ECB = 54Ā°Substitution property
Which theorem can be used to fill in the missing reason?
Concurrency of Medians Theorem
Isosceles Triangle Theorem
Midsegment of a Triangle Theorem
Triangle Inequality Theorem
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