John wrote a proof for the congruency of the opposite sides of a parallelogram as shown below. Which of these is correct? A,B,C,Or D

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John wrote a proof for the congruency of the opposite sides of a parallelogram as shown below. Which of these is correct? A,B,C,Or D?
2. AD | BC
2. Given
3. LBAC = LDCA
3. Alternate interior angles
4. ZDAC = LBCA
4. Alternate interior angles
5. AC = AC
5. Reflexive Property
6. ΔΑΒC ΔCDA
6. AAS
7. AB = CD
7. CPCTC
8. AD = BC
8. CPCTC
Which of these is correct?
O A The postulate that proves the congruency of the triangles should be ASA instead of AAS.
O B. The proof is correct as is.
O C. The reason for the congruency of the angles 2BAC DCA and BCA LDAC should be corresponding angles instead of alternate interior angles.
O D. The reason for the congruency of the angles LBAC = <DCA and BCA E LDAC should be vertical angles instead of alternate interior angles.
O Type here to search
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DE RULED
Transcribed Image Text:2. AD | BC 2. Given 3. LBAC = LDCA 3. Alternate interior angles 4. ZDAC = LBCA 4. Alternate interior angles 5. AC = AC 5. Reflexive Property 6. ΔΑΒC ΔCDA 6. AAS 7. AB = CD 7. CPCTC 8. AD = BC 8. CPCTC Which of these is correct? O A The postulate that proves the congruency of the triangles should be ASA instead of AAS. O B. The proof is correct as is. O C. The reason for the congruency of the angles 2BAC DCA and BCA LDAC should be corresponding angles instead of alternate interior angles. O D. The reason for the congruency of the angles LBAC = <DCA and BCA E LDAC should be vertical angles instead of alternate interior angles. O Type here to search a hp 70 Sheets DE RULED
John wrote a proof for the congruency of the opposite sides of a parallelogram as shown below.
Statements
Reasons
1. AB CD
2. AD BC
1. Given
2. Given
3. LBAC = LDCA
3. Alternate interior angles
4. ZDAC = L BCA
4. Alternate interior angles
5. AC = AC
5. Reflexive Property
6. ΔΑBC ΔCDA
6. AAS
7. AB = CD
7. СРСТС
8. AD = BC
8. СРСТС
Which of these is correct?
A. The postulate that proves the congruency of the triangles should be ASA instead of AAS.
O B. The proof is correct as is.
P Type here to search
Transcribed Image Text:John wrote a proof for the congruency of the opposite sides of a parallelogram as shown below. Statements Reasons 1. AB CD 2. AD BC 1. Given 2. Given 3. LBAC = LDCA 3. Alternate interior angles 4. ZDAC = L BCA 4. Alternate interior angles 5. AC = AC 5. Reflexive Property 6. ΔΑBC ΔCDA 6. AAS 7. AB = CD 7. СРСТС 8. AD = BC 8. СРСТС Which of these is correct? A. The postulate that proves the congruency of the triangles should be ASA instead of AAS. O B. The proof is correct as is. P Type here to search
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