Question

Use the information given in the diagram. Tell why UW=UW and UVW=WXU.

a) Reflexive Property; Transitive Property
b) Given; Reflexive Property
c) Transitive Property; Reflexive Property
d) Reflexive Property; Given

Answer 1

D) Reflective Property: Given

UVW=WXU is given and the UW=UW is proven by reflexive property because share the same side

Answer 2

d) Reflexive Property; Given

Explanation:

We have the quadrilateral UVWX.

We can see and also given in figure:

UV=XW

UX=VW

∠UXW=∠UVW

Now we have to tell UW=UW and ∠UVW=∠WXU.

The reflexive property of equality states that a given value is equal to itself.

Therefore, in quadrilateral UVWX, UW is equal to UW by reflexive property. Also line UW is common for both triangles.

∠UVW=∠WXU are same and it is also mentioned by double angle lines in the image.