Question

practice c:
(first taught in
lesson 52)
from this given statement, select the definition,
property, postulate, or theorem that justifies the
prove statement.
given: parallelogram
aeio
prove: \\( \angle e \cong \angle o \\) and
\\( \angle a \cong \angle i \\)
a b c d e
if a quadrilateral is a parallelogram, then
pairs of consecutive angles are congruent.
go

Explanation:

In a parallelogram, one of the key properties is that opposite angles are congruent. The given problem is about showing that in parallelogram \(AEIO\), \(\angle E\cong\angle O\) and \(\angle A\cong\angle I\) (which are opposite angles). The statement in option \(A\) is incorrect as in a parallelogram, pairs of consecutive angles are supplementary (sum to \(180^{\circ}\)), not congruent.

Answer:

None of the options provided (only option \(A\) is shown in the text) is correct. The correct property is "If a quadrilateral is a parallelogram, then pairs of opposite angles are congruent."