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Kamila [148]
3 years ago
15

Suppose Anna draws two line segments, AB and CD that

Mathematics
1 answer:
noname [10]3 years ago
6 0

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 <u>square</u>.

<h3>Reasons that make the above response correct</h3>

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, <u>quadrilateral </u><u>ACBD</u><u> is a square</u>.

Learn more about the properties of a square here:

brainly.com/question/1851850

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