Question

In the given figure xy=xw and angle yxz = angle wxw then.

(1) ∆____ is congruent to ∆ xyz.

(2) yz=___

(3) xz bisects angle _____and ______.​

Answer 1

Answer:

(1) ∆xwz is congruent to ∆xyz

(2) yz = wz

(3) xz bisects angle x and y

Answer 2

Given :  xy=xw and angle yxz = angle wxz

To Find : Fill in the blank

(1) ∆____ is congruent to ∆ xyz.

(2) yz=___

(3) xz bisects angle _____and ______.​

Solution:

Δxyz and Δxwz

xy  = xw  given

∠yxz = ∠wxz    given

xz = xz   common

Hence Δxyz ≅ Δxwz   ( ASA)

=> wz = yz

∠yzx = ∠wzx

=> xz is angle bisector of ∠yzw

∠yxz = ∠wxz    given  => xz bisects ∠yxw

(1)  Δxwz is congruent to ∆ xyz.

(2) yz=wz

(3) xz bisects angle  ∠yxw_and _ ∠yzw

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