How do you do congruent triangle proofs?

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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How do you do congruent triangle proofs?
ctrl
Gallery
charly Peter
o1.27.21
Name
Date
ClassMath HB
Reteach
Congruent Triangles continued
You can prove triangles congruent by using the definition of congruence.
Given: LD and LB are right angles.
ZDCE LBCA
C is the midpoint of DB.
ED = AB, EC = AC
Prove: AEDC AABC
Proof:
Statements
Reasons
1. LD and ZB are rt. s.
1. Given
2. LD LB
2 Detinition of midpoint
3. LDCELBCA
3. Given
4.
4. LELA
5. Given
5. C is the midpoint of DB.
6.
6. DC = BC
7. Given
7. ED AB, EC = AC
8. Def. of > As
8. AEDC AABC
Complete the proof.
ven: LQLR
Pis the midpoint of QR.
= SR, NP = SP
REASPR
Reasons
Transcribed Image Text:ctrl Gallery charly Peter o1.27.21 Name Date ClassMath HB Reteach Congruent Triangles continued You can prove triangles congruent by using the definition of congruence. Given: LD and LB are right angles. ZDCE LBCA C is the midpoint of DB. ED = AB, EC = AC Prove: AEDC AABC Proof: Statements Reasons 1. LD and ZB are rt. s. 1. Given 2. LD LB 2 Detinition of midpoint 3. LDCELBCA 3. Given 4. 4. LELA 5. Given 5. C is the midpoint of DB. 6. 6. DC = BC 7. Given 7. ED AB, EC = AC 8. Def. of > As 8. AEDC AABC Complete the proof. ven: LQLR Pis the midpoint of QR. = SR, NP = SP REASPR Reasons
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