Question

In the given fig. XT bisects ∠MXY and ∠MZY. Is MZ =YZ?  Give reasons to support your answer.​

Answer 1

Answer: By ASA congruency

Step-by-step explanation:

Take △ YXZ and △XMZ

We know that:

∠YXZ = ∠MXZ (XT bisects ∠YXM)

XZ = XZ (common)

∠YZX = ∠MZX (XT bisects ∠YZM)

Therefore, by ASA (angle side angle) congruency:

△ YXZ is congruent to △MXZ

Therefore, MZ = YZ by CPCT (As triangles are congruent, all corresponding components are equal)