Triangle similarity can be used to prove that the midsegment of a triangle is parallel to its base. Complete the proof by providing the missing reasons for each statement. B E Image created with GeoGebra Given: AABC and AADE DE is a midsegment Prove: DE | BC
Triangle similarity can be used to prove that the midsegment of a triangle is parallel to its base. Complete the proof by providing the missing reasons for each statement. B E Image created with GeoGebra Given: AABC and AADE DE is a midsegment Prove: DE | BC
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
Related questions
Question
![Triangle similarity can be used to prove that the midsegment of a triangle is parallel to its base.
Complete the proof by providing the missing reasons for each statement.
A
D
8
C
Image created with GeoGebra
Given: AABC and AADE DE is a midsegment
Prove: DE || BC](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2df48705-4238-4207-b57b-19ed7b40517e%2F2e6a72f6-1795-4017-9958-4da0bc8c6f96%2Fz9z5ywh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Triangle similarity can be used to prove that the midsegment of a triangle is parallel to its base.
Complete the proof by providing the missing reasons for each statement.
A
D
8
C
Image created with GeoGebra
Given: AABC and AADE DE is a midsegment
Prove: DE || BC
![AD = DB
AE EC
AD= DB
AE = EC
AB=AD + DB
AC = AE + EC
Reason 1
Definition of congruence
Reason 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2df48705-4238-4207-b57b-19ed7b40517e%2F2e6a72f6-1795-4017-9958-4da0bc8c6f96%2F7fp4a7f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:AD = DB
AE EC
AD= DB
AE = EC
AB=AD + DB
AC = AE + EC
Reason 1
Definition of congruence
Reason 2
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