Question

directions: if each quadrilateral below is a rhombus. 1. uv = 8 and wx = 5 tu = ____ wu = __ tx = __ tv = ____

Explanation:

Step1: Identify rhombus side property

All sides of a rhombus are congruent. Since $UV=8$, then $TU=UV=8$.

Step2: Identify rhombus side property

As all sides are congruent, $WU=UV=8$.

Step3: Identify rhombus diagonal property

Diagonals of a rhombus bisect each other. Since $WX=5$, then $TX=WX=5$.

Step4: Calculate full diagonal length

Diagonals bisect each other, so $TV=TX+WX=5+5=10$.

Answer:

$TU = 8$
$WU = 8$
$TX = 5$
$TV = 10$