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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
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
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
ZA LA
AADE~ AABC
LADE LABC
DE || BC
Reason 4
Reason 5
Corresponding angles of similar
triangles are congruent
Reason 6
Transcribed Image Text:ZA LA AADE~ AABC LADE LABC DE || BC Reason 4 Reason 5 Corresponding angles of similar triangles are congruent Reason 6
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning