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 10 of 10 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 10 of 10
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.)