Question

1. Given: (angle HIJ cong angle KIJ) (angle IJH cong angle IJK) Prove: ( riangle HIJ cong riangle KIJ) Chapter 5 Proofs Statements 1. 2. Reasons 1. 2. 3. (overline{IJ} cong overline{IJ}) 3. 4. 4. H K J A 2. Given: (overline{AE} cong overline{CE}), (overline{AB} cong overline{CD}) E is the midpoint of (overline{BD}). Prove: ( riangle EAB cong riangle ECD) C B D E Statements Reasons 1. 1. 2. 2. 3. 3. 4. (overline{BE} cong overline{ED}) 4. Definition of 5. 5.

          1. Given: (angle HIJ cong angle KIJ)
(angle IJH cong angle IJK)
Prove: (	riangle HIJ cong 	riangle KIJ)
Chapter 5 Proofs
Statements
1.
2.
Reasons
1.
2.
3.
(overline{IJ} cong overline{IJ})
3.
4.
4.
H
K
J
A
2.
Given: (overline{AE} cong overline{CE}), (overline{AB} cong overline{CD})
E is the midpoint of (overline{BD}).
Prove: (	riangle EAB cong 	riangle ECD)
C
B
D
E
Statements
Reasons
1.
1.
2.
2.
3.
3.
4.
(overline{BE} cong overline{ED})
4. Definition of
5.
5.

1. Given: (angle HIJ cong angle KIJ)
(angle IJH cong angle IJK)
Prove: ( riangle HIJ cong riangle KIJ)
Chapter 5 Proofs
Statements
1.
2.
Reasons
1.
2.
3.
(overlineIJ cong overlineIJ)
3.
4.
4.
H
K
J
A
2.
Given: (overlineAE cong overlineCE), (overlineAB cong overlineCD)
E is the midpoint of (overlineBD).
Prove: ( riangle EAB cong riangle ECD)
C
B
D
E
Statements
Reasons
1.
1.
2.
2.
3.
3.
4.
(overlineBE cong overlineED)
4. Definition of
5.
5.

Added by Stephanie A.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

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Solved by Expert Jeremiah Mbaria

06/15/2022

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Chapter 5: Proofs Given: ZHIJ = ZKIJ, ZIJH = ZIJK Prove: AHIJ = AKIJ Statements: 1. 2. 3. 4. Reasons: 1. 2. 3. 4. Given: AE = CE, AB = CD, E is the midpoint of BD Prove: AEAB = AECD Statements: 1. 2. 3. 4. 5. Reasons: 1. 2. 3. 4. Definition of 5.