ICSE Class 10 Similarity of Triangles — Mock Test (2027)

Free online mock test for Similarity of Triangles (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.

Sample questions

1. 1.Triangle ABC is similar to triangle PQR. If AD and PM are altitudes of the two triangles, which of the following correctly relates the sides and altitudes of these triangles?
   • A.AB/PQ = AD/PM because corresponding sides and altitudes of similar triangles are proportional.
   • B.AB/PQ = PM/AD because altitudes are inversely proportional to the sides in similar triangles.
   • C.AB + PQ = AD + PM because the sum of sides and altitudes must be equal in similar triangles.
   • D.AB × PQ = AD × PM because the product of sides and altitudes is constant in similar triangles.
2. 2.The perimeters of two similar triangles are $25\mathrm{cm}$ and $15\mathrm{cm}$ respectively. If one side of the first triangle is $9\mathrm{cm}$, then the corresponding side of the second triangle is:
   • A.$5.4 \mathrm{~cm}$
   • B.$7.8 \mathrm{~cm}$
   • C.$2.7 \mathrm{~cm}$
   • D.$3.9 \mathrm{~cm}$
3. 3.A line segment DE is drawn parallel to base BC of Δ ABC which cuts AB at point D and AC at point E. If AB = 5 BD and EC = 3.2 cm, find the length of AE.
   • A.6.4 cm
   • B.8 cm
   • C.12.8 cm
   • D.4 cm
4. 4.If $ABCD$ is a trapezium with $AB$ parallel to $DC$. Then the triangle similar to $\Delta AOB$ is:
   • a.$\Delta ADB$
   • b.$\Delta ACB$
   • c.$\Delta COD$
   • d.$\Delta COB$
5. 5.In the given figure $\angle BAP = \angle DCP = 70^\circ$, $PC = 6\,\mathrm{cm}$ and $CA = 4\,\mathrm{cm}$, then $PD:DB$ is:
   • a.$5:3$
   • b.$3:5$
   • c.$3:2$
   • d.$2:3$