Question

Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x + 3) meters and the length of line segment V S is (2 x minus 7) meters.

In parallelogram RSTU, what is SU?

Answer 1

Answer:♣ = Vertical angles theorem

♦ =SAS

♠ =CPCTC

Explanation:

Answer 2

SU = 26 meters

Explanation:

Based on the definition of a parallelogram, we know that the diagonals bisect each other, so we know that:

UV = VS

x + 3 = 2x - 7

10 = x

Now that we know "x", we can find the length of SU:

SU = x + 3 + 2x - 7

SU = (10) + 3 + 2(10) - 7

SU = 13 + 20 - 7

SU = 33 - 7

SU = 26 meters