PrepWisePrepWiseMathematics
Geometry & MeasuresHigh Exam FrequencyAQAEdexcelOCRWJEC

Congruence

Revise Congruence in Geometry & Measures for GCSE Mathematics with 15 exam-style questions and 12 flashcards. This is a high-frequency exam topic, so students should expect to explain it clearly under timed conditions.

Study this topic

1

Why Does Congruence Matter?

Introduction2

What Does Congruent Mean?

Key Facts3

The Four Congruence Conditions for Triangles

Deep Dive4

Invalid Conditions — Common Traps

Exam Tips5

Writing a Formal Congruence Proof

Deep Dive6

Worked Example 1

Equations7

Worked Example 2

Equations8

Congruent vs Similar — Quick Comparison

Key Facts9

Exam Tips

Exam Tips10

Quick Practice

Notes

Sample Flashcards

SSS Congruence Condition
Side-Side-Side: All three pairs of corresponding sides are equal. If AB = DE, BC = EF, and AC = DF, then the triangles are congruent. Fixing three side lengths determines the triangle completely.
SAS Congruence Condition
Side-Angle-Side: Two sides and the INCLUDED angle (the angle between the two sides) are equal. The angle MUST be between the two sides — if it is not included, SAS does not apply.

Sample Questions

Which of the following is NOT a valid congruence condition for triangles?

  • A. SSS (three sides equal)
  • B. SAS (two sides and the included angle equal)
  • C. AAA (three angles equal)
  • D. RHS (right angle, hypotenuse and one side equal)
1 markfoundation

When writing a congruence statement, such as triangle ABC ≅ triangle PQR, explain what it tells you about the sides and angles of the two triangles.

3 marksstandard

15

exam-style questions

12

revision flashcards

Ready to revise Congruence?

Get personalised daily study plans, adaptive quizzes, and spaced repetition flashcards.

Join Alpha

Previous topic

Loci

Next topic

Basic Probability