Question

concept translations
a translation is a transformation in a plane
that maps all points of a preimage the same
distance and in the same direction.
the translation of \\( \triangle a b c \\) by \\( x \\) units along the
\\( x \\)-axis and by \\( y \\) units along the \\( y \\)-axis can be
written as \\( t _ { ( x, y ) } ( \triangle a b c ) = \triangle a ^ { \prime } b ^ { \prime } c ^ { \prime } \\).
a translation has the following properties:
if \\( t _ { ( x, y ) } ( \triangle a b c ) = \triangle a ^ { \prime } b ^ { \prime } c ^ { \prime } \\), then

• \\( \overline { a a ^ { \prime } } \parallel \overline { b b ^ { \prime } } \parallel \overline { c c ^ { \prime } } \\).
• \\( \overline { a a ^ { \prime } } \cong \overline { b b ^ { \prime } } \cong \overline { c c ^ { \prime } } \\).
• \\( \triangle a b c \\) and \\( \triangle a ^ { \prime } b ^ { \prime } c ^ { \prime } \\) have the same orientation.

a translation is a rigid motion, so length and angle measure are preserved.

1. a

igid motion\ is...
size changesshape changessize and shape changesize and shape do not change

Explanation:

A rigid motion, like translation, preserves the size and shape of a figure. As per the properties of translation (a type of rigid motion) mentioned, length and angle measure (which relate to size and shape) are preserved. So, size and shape do not change in a rigid motion.

Answer:

size and shape DO NOT change