Gordon and Tess are trying to determine whether ΔABC and ΔFGE can be proven congruent through rigid motions.

Gordon says that ΔABC ≅ ΔFGE because ΔABC can be reflected over the line x = 1 to create ΔFGE.

Tess says ΔABC ≅ ΔFGE because ΔABC can be translated by the rule (x + 5, y − 7) to create ΔFGE.

Who is correct?
Gordon only
Tess only
Both Gordon and Tess
Neither Gordon nor Tess

Both Gordon and Tess

Step-by-step explanation:

If you reflect a triangle onto another triangle and they overlap perfectly without spilling over or being too small, the triangles are the EXACT same. If you translate a triangle to the right by 5 and down by 7 and it perfectly covers the other triangle, the triangles are also congruent. Therefore, both Gordon and Tess are correct!

Hope this helped!

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²