This study notes covers Quick Practice within Congruence for GCSE Mathematics. Revise Congruence in Geometry & Measures for GCSE Mathematics with 15 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 11 of 11 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 11 of 11
Practice
15 questions
Recall
12 flashcards
Quick Practice
- State which congruence condition (SSS, SAS, ASA, RHS) applies when: two triangles share a common side, and the two angles at either end of that side are equal in the respective triangles.
- Explain why AAA is not a valid congruence condition.
- Triangle PQR has PQ = 5 cm, QR = 7 cm, angle PQR = 48°. Triangle XYZ has XY = 5 cm, YZ = 7 cm, angle XYZ = 48°. Are the triangles congruent? Which condition applies?
- ABCD is a rectangle. Prove that triangle ABD is congruent to triangle CDB.
- In triangle ABC, angle ABC = 90°. D is the foot of the perpendicular from B to AC. Prove triangle ABD is congruent to triangle ABC. (Hint: look for shared angles.)
Keep building this topic
Read this section alongside the surrounding pages in Congruence. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Congruence
Which of the following is NOT a valid congruence condition for triangles?
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.
Quick Recall Flashcards
15 questions on Congruence — practise free
Instant marking, adaptive difficulty, and 12 spaced repetition flashcards. Free until your GCSEs.
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