Question

Fill in the missing blanks in the proof:

Given: Rhombus WXYZ
Prove: ZXNW= ZXNY
W
X
Z
Statements
Y
1. Rhombus
WXYZ
2. XY WZ = XW = YZ
3. XN ZN and WN YN
4. #C
5. ZXNW ZXNY
A choose your answer...
B choose your answer...
C choose your answer...
D choose your answer...
>
Reasons
1. Given
2. #A
3. #B
4. SSS
5. #D

Answer 1

The missing parts are filled as follows

A: Sides of rhombus are equal

B: Diagonals of rhombus bisects each other

C: Δ XNW ≅ Δ XNY

D: CPCTC

What are some properties of rhombus

Equal Sides: A rhombus is a special type of parallelogram in which all four sides are of equal length.

Diagonals: The diagonals of a rhombus bisect each other at right angles (90 degrees). That is, the point where the diagonals intersect divides each diagonal into two equal segments, and the angles formed at that intersection are right angles.

The sides and diagonals help us prove the congruence by SSS