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

Reflexive; Given. Although UW=UW would be incorrect, as the WXU was rotated 180 degrees to create UVW, so it would be UW=WU

Answer 2

The correct option is D.

Explanation:

Given the figure in which UV=XW, UX=VW and ∠UXW=∠UVW.

We have to tell why UW=UW and ∠UVW=∠WXU.

As the reflexive property of equality states that a value is equal to itself.

Hence, in quadrilateral UVWX,

UW is equal to UW by reflexive property

∠UVW=∠WXU as given

hence, UW=UW and ∠UVW=∠WXU by reflexive property and given in diagram.

The correct option is d)