Question

Which of the following completes the proof related to triangles formed by segments BD and AC?

1.Reflect δECD over segment AC. This establishes that ∠ABC ≅ ∠E′D′C′; translate point E′ to point B.
2.Reflect δECD over segment AC. This establishes that ∠ABC ≅ ∠E′D′C′; translate point D′ to point B.
3.Reflect δECD over segment AC. This establishes that ∠ABC ≅ ∠E′D′C′; translate point E′ to point A.
4.Reflect δECD over segment AC. This establishes that ∠ABC ≅ ∠E′D′C′; translate point D′ to point A.

Answer 1

The correct option that completes the proof related to triangles formed by segments BD and AC is Option 3: Reflect δECD over segment AC. This establishes that ∠ABC ≅ ∠E′D′C′; translate point E′ to point A.

Step-by-step explanation:

The correct option that completes the proof related to triangles formed by segments BD and AC is Option 3: Reflect δECD over segment AC. This establishes that ∠ABC ≅ ∠E′D′C′; translate point E′ to point A.

Reflecting δECD over segment AC establishes that the corresponding angles of the two triangles are congruent. Then, translating point E′ to point A would complete the proof by showing that δABC is congruent to δE′D′C′.