asked 8.2k views
5 votes
Which additional statements are required to prove△ABC ~=△MNO using SAS postulate, if C~= O?

asked
User Jarek
by
8.0k points

2 Answers

4 votes

Final answer:

To prove △ABC ≅ △MNO using the SAS postulate, we need to show two pairs of corresponding sides and the included angle are congruent. Since we are given that C ≅ O, we have one pair of corresponding sides. Additional information such as BC ≅ NO or AB ≅ MN or AC ≅ MO is required.

Step-by-step explanation:

To prove △ABC ≅ △MNO using the SAS postulate, we need to show two pairs of corresponding sides and the included angle are congruent. Since we are given that C ≅ O, we have one pair of corresponding sides. To prove the congruence, we need at least one more pair of corresponding sides. Therefore, we need to provide additional information such as BC ≅ NO or AB ≅ MN or AC ≅ MO. With this information, we can apply the SAS postulate to conclude that △ABC ≅ △MNO.

answered
User Larryr
by
7.7k points
6 votes

Step-by-step explanation:

To prove that two triangles are congruent by SAS, two sides and the INCLUDED angle in the first triangle must be congruent to the corresponding two sides and INCLUDED angle in the second one.

answered
User DenseCrab
by
8.2k points
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