Question

Two column proof that can include CPCTC, HL, or any angle postulates

Answer 1

Explanation:

Given:

• ∠3 ≅ ∠4
• BX ≅ AY
• BW ≅ AZ

Prove:

• ΔWTZ is isosceles

Solution:

m ∠WBX = 180° - m ∠3

m ∠ZAY = 180° - m ∠4

• ∠WBX ≅ ∠ZAY as ∠3 ≅ ∠4 and 180° - m ∠3 = 180° - m ∠4
• BX ≅ AY, given
• BW ≅ AZ, given

ΔWBX ≅ ΔZAY as per SAS postulate

∠W ≅ ∠Z as corresponding angles of congruent triangles

As per above the triangle WTZ is isosceles