Liam and Tehya are trying to determine whether ΔABC and ΔEFD can be proven congruent through rigid motions. Liam says that ΔABC ≅ ΔEFD because ΔABC can be reflected over the y-axis to create ΔEFD.

Tehya says that ΔABC ≅ ΔEFD because ΔABC can be rotated 90° clockwise about the origin to create ΔEFD.

a coordinate grid with triangles ABC and DEF at A at negative 7 comma 2, B at negative 3 comma 6, C at negative 2 comma 1, D at 2 comma 1, E at 3 comma 6, and F at 7 comma 2

Who is correct?

Liam only

Tehya only

Both Liam and Tehya

Neither Liam nor Tehya

Liam only

Step-by-step explanation:

reflection about y-axis: (x,y) > (-x,y)

rotation 90 degree clockwise: (x,y) ---> (y,-x)

Liam only

Step-by-step explanation:

see in the graph, u can see that B, A,C reflected over the y-axis to create F, E, D

=> AB = EF

    BC = DF

    AC = DE

=> ΔABC ≅ ΔEFD (SSS)

=> Liam's answer is correct

with the explanation of Tehya,  ΔABC can be rotated 90° clockwise about the origin to create ΔEFD but when rotated 90°, x' = -y

                                                                                y' = x

A' is created when A(-7;2) rotated 90° => A'(-2; -7)

but in ΔEFD, no point has (-2;-7)

=> Tehya's answer is incorrect