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

Question

Mathematics

Elsie

14 April, 16:34

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

+4

Answers (1)

Know the Answer?

Josue · Answer 1

Neither Liam nor Tehya

Step-by-step explanation:

A: (-7,2)

B: (-3,6)

C: (-2,1)

After reflection along y-axis:

A': (7,2) - -> F

B': (3,6) - -> E

C': (2,1) - -> D

ΔABC ≅ ΔFED

ΔABC ≅ ΔEFD is incorrect

After 90° clockwise rotation:

A': (2,7)

B': (6,3)

C': (1,2)

ΔABC ≅ ΔEFD is incorrect

Both are wrong