Question

4. XYZ is an isosceles triangle in which XY = YZ and XP is the bisector of
angle X
(i)Is AXPY = AXPZ
(ii) Prove that YP = PZ

Answer 1

Answer:

yes A XPY = A XPZ

Step-by-step explanation:

(i) In A XPY & A XPZ:

XP=XP (Common)

angle YXP=angle ZYP. (XP is bisector)

XY=XZ (Given)

A XPY=A XPZ. (SAS rule)

(ii). YP=PZ. ( CPCT)