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  1. Use congruence properties to prove that two triangles are congruent
    by Dr. Osama M. Khaled — published Nov 29, 2025 — last modified Dec 06, 2025 11:29 PM — filed under: Year 8
    Sometimes it is possible to conclude that two triangles are congruent without having to show that three pairs of corresponding angles are congruent and three ...
    Located in Mathematics / Geometry / Congruent Triangles and Similar Triangles
  2. Use more than one property of equality to solve equations
    by Dr. Osama M. Khaled — published Nov 07, 2023 — last modified Jul 12, 2024 10:16 PM — filed under: Year 8
    More complicated equations may require using more than one property to solve it.
    Located in Mathematics / Algebra / Solving Equations with Equality
  3. Use similar triangles to find unknown lengths in application problems
    by Dr. Osama M. Khaled — published May 14, 2026 — last modified May 16, 2026 08:34 AM — filed under: Year 7, Year 8
    Similar triangles and proportions can be used to find lengths that would normally be difficult to measure.
    Located in Mathematics / Geometry / Congruent Triangles and Similar Triangles
  4. Use the addition property of equality
    by Dr. Osama M. Khaled — published Sep 12, 2023 — last modified Jul 12, 2024 10:14 PM — filed under: Year 8
    Adding the same number to both sides of an equation does not change its solution.
    Located in Mathematics / Algebra / Solving Equations with Equality
  5. Use the converse of the Pythagorean theorem
    by Dr. Osama M. Khaled — published Oct 27, 2025 — last modified Oct 29, 2025 11:26 AM — filed under: Year 8
    The converses of some statements are true, while the converses of other statements are false. It is interesting to note that the converse of the Pythagorean ...
    Located in Mathematics / Geometry / The Pythagorean Theorem
  6. Use the division property of equality
    by Dr. Osama M. Khaled — published Nov 04, 2023 — last modified Jul 12, 2024 10:15 PM — filed under: Year 8
    Dividing both sides of an equation by the same nonzero number does not change its solution.
    Located in Mathematics / Algebra / Solving Equations with Equality
  7. Use the multiplication property of equality
    by Dr. Osama M. Khaled — published Sep 29, 2023 — last modified Jun 03, 2025 11:24 AM — filed under: Year 8
    Multiplying both sides of an equation by the same nonzero number does not change its solution.
    Located in Mathematics / Algebra / Solving Equations with Equality
  8. Use the order of operation rule
    by Dr. Osama M. Khaled — published May 07, 2026 — last modified May 09, 2026 04:26 AM — filed under: Year 8
    You can use this rule to evaluate expressions involving integers
    Located in Mathematics / … / Integers / Order of Operations and Estimation
  9. Use the Pythagorean theorem to find the exact length of a side of a right triangle
    by Dr. Osama M. Khaled — published Oct 20, 2025 — last modified Oct 27, 2025 08:37 AM — filed under: Year 8
    If we know the lengths of any two sides of a right triangle, we can find the length of the third side using the Pythagorean theorem.
    Located in Mathematics / Geometry / The Pythagorean Theorem
  10. Use the subtraction property of equality
    by Dr. Osama M. Khaled — published Sep 20, 2023 — last modified Jul 12, 2024 10:14 PM — filed under: Year 8
    Subtracting the same number from both sides of an equation does not change its solution
    Located in Mathematics / Algebra / Solving Equations with Equality
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