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Grade 8 Math โ€” Quarter 3: Geometry & Logic

Grade 8 Math Q3: reasoning, triangle congruence, and parallel lines.

DepEd MELC reviewer for Grade 8 Mathematics, Quarter 3. Study the rules, worked formulas, and exam hacks below.

1

If-Then Statements and Reasoning

A conditional is "If p, then q." Its converse swaps p and q; the contrapositive negates and swaps (always logically equivalent).

2

Triangle Congruence

PostulateMeans
SSSThree sides equal
SASTwo sides + included angle
ASATwo angles + included side
AASTwo angles + non-included side
โš ๏ธ Common Mistake

There is NO "SSA" or "AAA" congruence. AAA only proves similarity, not congruence.

3

Parallel Lines and Transversals

When a transversal cuts parallel lines: corresponding angles are equal, alternate interior angles are equal, co-interior angles are supplementary.

4

Converse Example

Statement: "If it rains, the ground is wet."

FormStatement
ConverseIf the ground is wet, it rained
ContrapositiveIf the ground is not wet, it did not rain
โš ๏ธ Common Mistake

A true statement does not guarantee its converse is true.

๐Ÿ“Œ Quick Recap โ€” Master These

Before your test, make sure you can confidently do each of the following:

  • Explain and apply If-Then Statements and Reasoning.
  • Explain and apply Triangle Congruence.
  • Explain and apply Parallel Lines and Transversals.
  • Explain and apply Converse Example.

Re-read any section above where you hesitate, then try the worked example again without looking.