Question

I really don't understand this! if anyone does please help me!!! :)

Answer 1

Statement: RUMH is rhombus
Reason: Given (It is stated in the question that RUMH is Rhombus)

Statement: RH=UM=HM=RU ⇒ This statement is saying that the length of side RH equals to side UM, HM, and RU
Reason: Because RUMH is a rhombus and all sides in a rhombus have equal length of sides

Statement: RUBM is rhombus
Reason: Given (the question does state RUBM is rhombus

Statement: RU=MB=RM=UB
Reason: RUMB is rhombus and all sides of a rhombus are have equal length

Statement: RH=UM=HM=MB=RM=UB
Reason: Statement 2 and statement 4 shares the side RU, and if RU has equal length with RH, UM, HM, MB, RM, and UB, then these sides are all equal

Statement: Triangle RHM = Triangle UMB
Reason: Since RH equals to HM and RM as well as to UM, MB, and UB, then the two triangles are formed by equal length of sides and therefore are congruent.