Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated? Explain. A)
(-1, 1) (-2, 1)(-1, 4); because corresponding pairs of angles are congruent.
B)
(-2,-3)(-4,-3)(-2,-9); because corresponding pairs of angles are congruent.
c)
(-1, 1)(-2, 1)(-1, 4); because corresponding pairs of sides and corresponding
pairs of angles are congruent.
(-2,-3)(-4,-3)(-2,-9); because corresponding pairs of sides and
corresponding pairs of angles are congruent.
D)

d

step-by-step explanation:

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

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.