Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
1 Answer
- ?Lv 77 years ago
Suppose a = b. Draw a median to the side with length c, dividing this side into two equal lengths. This divides the triangles into two smaller triangles, with two pairs of congruent sides and a common third side that is congruent to itself. Therefore, by SSS, these two smaller triangles are congruent. By CPCTC (corresponding parts of congruent triangles are congruent), alpha = beta.
Suppose alpha = beta. Draw a bisector of angle gamma, dividing this angle into two equal angles. This divides the triangles into two smaller triangles, with two pairs of congruent angles and a common third side that is congruent to itself. Therefore, by AAS, these two smaller triangles are congruent. By CPCTC, a = b.
We conclude that alpha = beta if and only if a = b.
Have a blessed, wonderful day!
