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Ann [662]
3 years ago
9

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 angl

e ADE is 36°. The proof, with a missing reason, proves that the measure of angle ECB is 54°. Statement Reason m∠ADE = 36° Given m∠DAE = 90° Definition of a right angle m∠AED = 54° 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 = 54° 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

Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer:

Midsegment of a Triangle Theorem

Step-by-step explanation:

Midsegment of a Triangle Theorem - is the right choice

  • <em>The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.</em>

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