In triangle ABC, Dis the midpoint of AC and E is the midpoint of BC. The table below is an incomplete proof to show DE= ; AB and DE || AB.Drag and drop the correct statements and reasons into the chart to complete the proof. Drag the correct reasons to complete the proof.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.1: Congruent Triangles
Problem 8E: a. Suppose that you wish to prove that RSTSRV. Using the reason Identity, name one pair of...
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In triangle ABC, D is the midpoint of AC and E is the midpoint of BC.
 

 

 
The table below is an incomplete proof to show DE=12AB and DE||AB. Drag and drop the correct statements and reasons into the chart to complete the proof. Drag the correct reasons to complete the proof.

3. In triangle ABC, Dis the midpoint of AC and E is the midpoint of BC.
The table below is an incomplete proof to show DE =; AB and DE || AB. Drag and drop the correct statements
and reasons into the chart to complete the proof. Drag the correct reasons to complete the proof.
SAS similarity
Statements
Reasons
Dis the midpoint
of AC and E is the
midpoint of BC
SSA similarity
1.
1.
Given
Congruent corresponding
L's make lines parallel
CD =
2
AC
2.
Congruent alternate interior
L's make lines parallel
Definition of midpoint
CE = - BC
3.
ZACB = LDCE
3.
Reflexive property
SAS similarity
4.
ADCE ~ AACB
4.
DE-글 AB
Corresponding sides of
similar triangles are
proportional
5.
5.
ZCED = LCBA
Corresponding angles of
6.
6.
similar triangles are congruent
Congruent corresponding
2's make lines parallel
7.
DE || AB
7.
2.
Transcribed Image Text:3. In triangle ABC, Dis the midpoint of AC and E is the midpoint of BC. The table below is an incomplete proof to show DE =; AB and DE || AB. Drag and drop the correct statements and reasons into the chart to complete the proof. Drag the correct reasons to complete the proof. SAS similarity Statements Reasons Dis the midpoint of AC and E is the midpoint of BC SSA similarity 1. 1. Given Congruent corresponding L's make lines parallel CD = 2 AC 2. Congruent alternate interior L's make lines parallel Definition of midpoint CE = - BC 3. ZACB = LDCE 3. Reflexive property SAS similarity 4. ADCE ~ AACB 4. DE-글 AB Corresponding sides of similar triangles are proportional 5. 5. ZCED = LCBA Corresponding angles of 6. 6. similar triangles are congruent Congruent corresponding 2's make lines parallel 7. DE || AB 7. 2.
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