Question

Suppose Anna draws two line segments, AB and CD that

Answer 1

The name of the quadrilateral ACBD is given by the relationship between

the diagonals Anna draws and their properties.

Correct response:

• The best name to describe ACBD is a square.

Reasons that make the above response correct

Given parameters;

The two line segments Anna draws = $\overline{AB}$ and $\overline{CD}$

$\overline{AB}$ ≅ $\mathbf{\overline{CD}}$

$\overline{AB}$ ⊥ $\mathbf{\overline{CD}}$

$\overline{AB}$ bisects $\mathbf{\overline{CD}}$

$\overline{CD}$ bisects $\mathbf{\overline{AB}}$

Therefore;

According to perpendicular bisector theorem, the lengths of the sides of

the quadrilateral ACBD are equal.

$\mathbf{\overline {AC}}$ = $\overline{CB}$ = $\overline{BD}$ = $\overline{AD}$

• The diagonals are perpendicular and bisect each other, and are equal, therefore, quadrilateral ACBD is a square.

Learn more about the properties of a square here:

brainly.com/question/1851850