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 ZA LAAADE~ AABCLADE LABCDE || BCReason 4Reason 5Corresponding angles of similartriangles are congruentReason 6

Answered: Image /qna-images/answer/b02b2d4a-051b-429c-8ada-84f656755b58.jpg

Triangle similarity can be used to prove that the midsegment of a triangle is parallel to its bas Complete the proof by providing the missing reasons for each statement. E с mage created with GeoGebra iven: AABC and AADE DE is a midsegment rove: DE | BC

Triangle similarity can be used to prove that the midsegment of a triangle is parallel to its bas Complete the proof by providing the missing reasons for each statement. E с mage created with GeoGebra iven: AABC and AADE DE is a midsegment rove: 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

ZA LA
AADE~ AABC
LADE LABC
DE || BC
Reason 4
Reason 5
Corresponding angles of similar
triangles are congruent
Reason 6

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