Edexcel IGCSE Math B 6.H Triangle similarity Question Bank
Practise proving triangles are similar from equal angles, side ratios and circle geometry, then presenting clear matching reasons.
- Syllabus
- First assessment 2018
- Course
- Math B 4MB1
Practise proving triangles are similar from equal angles, side ratios and circle geometry, then presenting clear matching reasons.

Figure 2
Diagram NOT accurately drawn
Figure 2 shows a kite ABCD in which
AEC and BED are straight lines.
Prove that triangle ABE is similar to triangle BCE.

Method 1 - Show 2 of
3
A C B= A B E oe or
B A C= C B D oe or
A E B= B E C=90^ oe
M2 Show either by argument or calculation that 2 pairs of angles are equal or 1 pair of angles are equal and stating A E B= B E C=90
If using lengths AE or EC the calculation must be seen for one of them. Calculation for one angle must be seen. These may be seen in part(c)
M1 for showing 1 pair of angles are equal or stating
A E B= B E C=90
Method 2
B E/A E=4/3 and B C/A B=4/3 and C E/B E=4/3 oe
M2 Show either by argument or calculation that at all 3 pairs of corresponding sides are in the same ratio.
Need 4/3 or 3/4 (must be exact) If using lengths AE or EC the calculation must be seen for one of them. M1 for showing 2 pairs of corresponding sides are in the same ratio
Method 3
Show two of these
B E/A E=4/3 and B C/A B=4/3 and C E/B E=4/3 oe
and the angle between them is the same
M2 Show either by argument or calculation that 2 pairs of corresponding sides are equal and the angle between is the same If using lengths AE or EC the calculation must be seen for one of them.
M1 for showing 2 pairs of corresponding sides are in the same ratio
NB If angles shown equal by calculation the calculation must be given as an exact value eg.
A C B=6/8
Both triangles are similar as 2 angles are equal or sides pair in same ratio or SAS
A1 dep on M2 being awarded. A written conclusion with their reason.
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