Question

quadrilateral abcd is a rhombus.
part a
complete the statement below using the correct dropdown
options.

• to show that segment bc maps onto segment dc you

would translate the entire figure
select one
select one
from a to c
from b to d
over segment ac
over segment bc
90 degrees about point c
180 degrees about point c
par
dete
not
onto
translating a copy of the figure
select one
down 3 units.
translating a copy of the figu

Explanation:

Step1: Recall properties of a rhombus

A rhombus has all sides equal, and its diagonals bisect the angles. Also, reflecting over a diagonal (like \(AC\)) in a rhombus will map adjacent sides that meet at a vertex on the diagonal. In rhombus \(ABCD\), \(AC\) is a diagonal. Reflecting over \(AC\) will map \(B\) to \(D\) and \(BC\) to \(DC\) because of the symmetry of the rhombus about its diagonals. Translating or rotating (other than the symmetric reflection) won't map \(BC\) to \(DC\) as directly. So the correct transformation is reflecting over segment \(AC\).

Step2: Identify the correct option

From the dropdown, the option "over segment \(AC\)" is the one that correctly describes the transformation to map \(BC\) to \(DC\) in rhombus \(ABCD\).

Answer:

over segment \(AC\)