Question

In the diagram below of parallelogram STUV, SV = x + 3,

VU = 2x − 1, and TU = 4x − 3. what is the length of VU?

Answer 1

The value of VU = 3

Explanation:

Given

SV = x + 3

VU = 2x − 1

TU = 4x − 3

VU = ?

We know that in a parallelogram, opposite sides are congruent.

SV ≅ TU and VU ≅ ST

Thus,

SV ≅ TU

x+3 = 4x-3

4x-x = 3+3

3x = 6

Divide both sides by 3

x = 2

So,

VU = 2x − 1

= 2(2)-`1

= 4-1

= 3

Thus, the value of VU = 3