Suppose △ABC has coordinates A (2, 3), B (5, 1), C (4, 4), line m is the line with equation y = −5, and △ABC is mapped to △A′B′C′ by applying the glide reflection T⟨ −2, 1 ⟩∘ Rm. Select all the statements that are true about △A′B′C′.

are you an artist's daughter? cuz dang you a fine piece of art, girl.

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.