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.AD8CImage created with GeoGebraGiven: AABC and AADE DE is a midsegmentProve: DE || BC AD = DBAE ECAD= DBAE = ECAB=AD + DBAC = AE + ECReason 1Definition of congruenceReason 2

Answered: Image /qna-images/answer/2e6a72f6-1795-4017-9958-4da0bc8c6f96.jpg

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...

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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

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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