In triangle ABC and triangle DEF, angle A = angle D, angle B = angle E, and BC/EF = AC/DF. Which statement is correct?

Q: How do I try a free CIE Mathematics question?

Just tap any of the four options on this page — no signup, no card, nothing to install. You'll see the correct answer and a full mark-scheme-style explanation within a second. Each visit shows a fresh randomly-picked question from the live CIE IGCSE Mathematics bank, so you can keep refreshing to try different ones before deciding whether to create a free account for daily access.

Q: Is Kramizo really free for CIE Mathematics students?

Yes — completely free. Every student gets 45 questions a day on the free plan, across any board and any subject, with no card required and no trial countdown. Kramizo's optional Pro plan removes the daily cap and adds analytics, but the free plan is genuinely free forever. We make money from the small percentage of students who choose to upgrade — not from selling data or ads.

Q: Are the Mathematics questions aligned to the CIE IGCSE syllabus?

Every question is written against the published CIE IGCSE Mathematics syllabus and reviewed for accuracy before being added to the bank. We match the command words (state, describe, explain, evaluate), mark allocations, and difficulty tier you'll see on real CIE past papers. Explanations are written in the style of official examiner mark schemes so students learn exactly what marks are being awarded for.

Question

In triangle ABC and triangle DEF, angle A = angle D, angle B = angle E, and BC/EF = AC/DF. Which statement is correct?

Accepted Answer

The triangles are similar but not necessarily congruent — Award 1 mark for recognising that equal angles prove similarity (AA condition). The ratio of corresponding sides confirms similarity but without knowing the actual lengths are equal, congruence cannot be established. A is incorrect — ASA requires the included side to be equal, not proportional. C is incorrect — SAS congruence requires equal sides, not proportional sides. D is incorrect — there is sufficient information to prove similarity.

Answer

The triangles are congruent by SAS

Answer

The triangles are congruent by ASA

Answer

There is insufficient information to determine any relationship

Answer

The triangles are similar but not necessarily congruent

One real Mathematics question.No signup. 30 seconds.

One real Mathematics question.
No signup. 30 seconds.