Question

Consider the diagram shown below.

А
B
m
С
D
Which of the following statements best describes the construction in the diagram?
O AB || CD.
O ABCD
0 C is the midpoint of m.
OD is the midpoint of m.

Answer 1

The correct option is;

`\overline{AB} \cong \overline{CD}`

Explanation:

From the diagram, we have that the segment
`\overline {AB}` is given as the measured distance between the points A and B while the measured segment
`\overline {CD}` is constructed on the line m, starting from a point C and using a compass whose width is adjusted to the length of the segment
`\overline {AB}` and with the metal tip of the compass placed at C, to draw an arc the crossed the line m at a point which is then marked and labelled as then point D

Therefore the length of the segment
`\overline {AB}` is equal to the length of the segment
`\overline {CD}` and the relation is expressed as
`\overline{AB} \cong \overline{CD}`.