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AC is congruent to BD what proof is that

Definition of congruent segments
Definition of an isosceles trapezoid
CPCTC
Definition of parallel lines

CPCTC (Corresponding Parts of Congruent Triangles are Congruent) is the proof that AC is congruent to BD.

Did you know?

Did you know that in Geometry, when we say AC is congruent to BD, it means that the line segment AC has the same length as the line segment BD? This is known as the definition of congruent segments. Furthermore, an isosceles trapezoid is a special type of trapezoid where the legs (or non-parallel sides) have the same length. Another important concept is CPCTC, which stands for "Corresponding Parts of Congruent Triangles are Congruent." This principle allows us to prove that corresponding parts of congruent triangles, such as angles or sides, are also congruent. Lastly, parallel lines are lines that never intersect and are always equidistant. This concept is defined as the definition of parallel lines. These definitions and principles play a crucial role in geometry proofs and help us establish various geometric relationships.