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Symmetric Property

Symmetric Property

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

The symmetric property states that if one quantity is equal (or congruent) to a second quantity, then the second quantity is equal (or congruent) to the first.

Key points:

  • In algebra: If a = b, then b = a.

  • In geometry: If AB ≅ CD, then CD ≅ AB.

  • Useful in proofs when reversing the order of an equation or congruence statement.

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Learn the whole picture

This term is one piece. Our courses build it into everything around it—short videos, practice, and the “why” behind every concept.

Algebra 1

Lines, slope, functions & more

Geometry

Shapes, proofs & spatial reasoning

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