Triangles Mathematics 10 Test
1. Two triangles are similar if their corresponding:
A. Sides are equal
B. Angles are equal and sides are proportional
C. Areas are equal
D. Perimeters are equal
A. Sides are equal
B. Angles are equal and sides are proportional
C. Areas are equal
D. Perimeters are equal
2. The symbol used for similarity of triangles is:
A. ≅
B. =
C. ∼
D. ⊥
A. ≅
B. =
C. ∼
D. ⊥
3. If two angles of one triangle are equal to two angles of another triangle, then triangles are similar by:
A. SSS
B. SAS
C. AA
D. RHS
A. SSS
B. SAS
C. AA
D. RHS
4. In similar triangles, corresponding sides are:
A. Equal
B. Proportional
C. Parallel
D. Perpendicular
A. Equal
B. Proportional
C. Parallel
D. Perpendicular
5. The sum of angles in a triangle is:
A. 90°
B. 180°
C. 270°
D. 360°
A. 90°
B. 180°
C. 270°
D. 360°
6. Which similarity criterion uses three proportional sides?
A. AA
B. SAS
C. SSS
D. RHS
A. AA
B. SAS
C. SSS
D. RHS
7. If AB/DE = BC/EF = AC/DF, then:
A. Triangles are congruent
B. Triangles are similar
C. Triangles are right-angled
D. None
A. Triangles are congruent
B. Triangles are similar
C. Triangles are right-angled
D. None
8. The Basic Proportionality Theorem is also called:
A. Euclid's Theorem
B. Pythagoras Theorem
C. Thales Theorem
D. Apollonius Theorem
A. Euclid's Theorem
B. Pythagoras Theorem
C. Thales Theorem
D. Apollonius Theorem
9. A line parallel to one side of a triangle divides the other two sides:
A. Equally
B. In same ratio
C. At right angles
D. Randomly
A. Equally
B. In same ratio
C. At right angles
D. Randomly
10. The converse of BPT is used to prove:
A. Congruency
B. Similarity
C. Parallel lines
D. Area
A. Congruency
B. Similarity
C. Parallel lines
D. Area
11. If DE ∥ BC in ΔABC, then:
A. AD/AB = AE/AC
B. AD = AE
C. AB = AC
D. None
A. AD/AB = AE/AC
B. AD = AE
C. AB = AC
D. None
12. The ratio of areas of two similar triangles is equal to:
A. Ratio of corresponding sides
B. Square of ratio of corresponding sides
C. Cube of ratio of corresponding sides
D. Product of corresponding sides
A. Ratio of corresponding sides
B. Square of ratio of corresponding sides
C. Cube of ratio of corresponding sides
D. Product of corresponding sides
13. If side ratio of two similar triangles is 2:3, then area ratio is:
A. 2:3
B. 3:2
C. 4:9
D. 8:27
A. 2:3
B. 3:2
C. 4:9
D. 8:27
14. If area ratio of two similar triangles is 25:49, side ratio is:
A. 25:49
B. 5:7
C. 7:5
D. 10:14
A. 25:49
B. 5:7
C. 7:5
D. 10:14
15. Pythagoras theorem applies to:
A. Any triangle
B. Equilateral triangle
C. Right triangle
D. Isosceles triangle
A. Any triangle
B. Equilateral triangle
C. Right triangle
D. Isosceles triangle
16. In a right triangle:
B. a² + b² = c²
C. a² − b² = c²
D. ab = c

B. a² + b² = c²
C. a² − b² = c²
D. ab = c
17. In a right triangle, the longest side is:
A. Base
B. Perpendicular
C. Hypotenuse
D. Median
A. Base
B. Perpendicular
C. Hypotenuse
D. Median
18. If sides are 3 cm, 4 cm, and 5 cm, the triangle is:
A. Acute angled
B. Obtuse angled
C. Right angled
D. Equilateral
A. Acute angled
B. Obtuse angled
C. Right angled
D. Equilateral
19. The converse of Pythagoras theorem helps determine:
A. Area
B. Similarity
C. Right triangle
D. Perimeter
A. Area
B. Similarity
C. Right triangle
D. Perimeter
20. If 5² + 12² = 13², the triangle is:
A. Equilateral
B. Isosceles
C. Right angled
D. Obtuse
A. Equilateral
B. Isosceles
C. Right angled
D. Obtuse