Question

The diagram below shows the construction of the bisector of ∠abc. which statement is not true?

Answer 1

Answer:

$c)\overline{AC}=2\overline{AB}$

Step-by-step explanation:

Retrieved Information:

Which statement is not true?

a) $a)\overline{AC}=\overline{CB}\\b)\overline{CB}=\frac{1}{2}\overline{AB} \\c)\overline{AC}=2\overline{AB}\\d)\overline{AC}+\overline{CB}=\overline{AB}$

b) Check the graph below

1) To bisect is to equally divide an angle or a line segment, into two equal parts. The bisector of AC divides the line segment AC in its midpoint, so AC≅CB, therefore AC=CB. In addition to this, this is equivalent to say that CB is = 1/2AB.

Finally, this is also true that AC+CB=AB.

2) Clearly AC is not equal to 2AB since AC=CB is = 1/2AB then it is false.

$c)\overline{AC}=2\overline{AB}\:FALSE$