Question

Triangle XYZ is an isosceles triangle with XY = XZ and XW is perpendicular to YZ...Write the corresponding parts which are equal to show that ΔXYW ≅ ΔXZW.

Answer 1

Answer:

XYZ is  isosceles

=> XY =XZ and angle XYT=XZT (Angles opposite to equal sides are equal)

Now in XYT and XZT,

XY=XZ

XYT=XZT

XT=TX( Common)

=> XYT is congruent to XZT( SAS Congruence)

=>YT=TZ .  Therefore, XT bisects YZ

:)

Step-by-step explanation:

Answer 2

Answer:

=> XY =XZ and angle XYT=XZT (Angles opposite to equal sides are equal)

Now in XYT and XZT,

XY=XZ

XYT=XZT

XT=TX( Common)

=> XYT is congruent to XZT( SAS Congruence)

=>YT=TZ .  Therefore, XT bisects YZ