The triangles ABC and A'B'C' are congruent by SSS because the corresponding sides are congruent
How to transform the triangle?
The coordinates of the triangle are given as:
- A = (1, 4)
- B = (7,4)
- C = (8,9)
To transform the triangle to prove the SSS congruence, we make use of the following translation rule:
(x,y) -> (x + 2, y - 5)
The above means that:
- The triangle is translated 2 units right
- And then translated 5 units down
So, we have:
A' = (1 + 2, 4 - 5)
A' = (3, -1)
B' = (7 + 2, 4 - 5)
B' = (9, -1)
C' = (8 + 2, 9 - 5)
C' = (10, -4)
Using the above transformation, the triangles ABC and A'B'C' are congruent by SSS because the corresponding sides are congruent
Read more about transformation at:
https://brainly.com/question/4289712