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!

deez nu tz

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: