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CCSS IP Math I 5.1.3 Example 3
Author:
Walch Education,
GeoGebra Materials Team
Given the quadrilateral
, the square
, and the information that
is the same distance from
and
, show that
is symmetrical along segment
.
Recall the definition of line symmetry.
Since
and
,
is a line of symmetry for
where
.
has the same area as
because they share a base and have equal height.
, so
.
We now know
is a line of symmetry for
and
is a line of symmetry for
, so
and quadrilateral
is symmetrical along
.
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