Which statement is true about quadrilateral ABCD with vertices A(2, 8), B(3, 11), C(4, 8), and D(3, 5)?

The quadrilateral is a rhombus

Step-by-step explanation:

Given

Required

The true statement

Calculate slope (m) using

Calculate distance using:

Calculate slope and distance AB

-- slope

-- distance

Calculate slope and distance BC

-- slope

--- distance

Calculate slope CD

-- slope

-- distance

Calculate slope DA

-- slope

From the computations above, we can see that all 4 sides are equal, i.e.

And the slope of adjacent sides are negative reciprocal, i.e.

 and

and

The quadrilateral is a rhombus

5/12, or 5: 12

step-by-step explanation: