subject
Mathematics, 15.04.2020 18:28 patrickwilson

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 36°.

Triangle ABC with segment DE. Angle ADE measures 36 degrees.

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

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 22.06.2019 03:20
(apex) on the planet kudzu, the probability that a bird is green is 0.30. the probability that the bird is green given that the bird is female is 0.30. which statement is true?
Answers: 1
question
Mathematics, 22.06.2019 04:00
How to find the volume of an area and height
Answers: 1
question
Mathematics, 22.06.2019 06:30
There is a 9% chance that a booked gig will get cancelled. if you have 4 gigs in a row, what is the probability none of them will get cancelled!
Answers: 2
question
Mathematics, 22.06.2019 06:40
Rory's battery was full at 6: 00 a.m, or t = 0. which times could rory's phone have been plugged into the charger? select three options.
Answers: 1
You know the right answer?
Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of...
Questions
question
Mathematics, 20.09.2019 06:30
question
Chemistry, 20.09.2019 06:30
question
Social Studies, 20.09.2019 06:30
Questions on the website: 13722363