Triangles (10 Maths)
Triangles are fundamental geometric shapes, and understanding their properties like similarity, congruence, and the Pythagorean theorem is essential for ge
TL;DR: Triangles are fundamental geometric shapes, and understanding their properties like similarity, congruence, and the Pythagorean theorem is essential f…
Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated
Triangles are fundamental geometric shapes, and understanding their properties like similarity, congruence, and the Pythagorean theorem is essential for ge
Triangles MCQs with Answers & Explanations
Q1. If two triangles are similar, then their corresponding angles are:
- Proportional
- Equal ✓ (correct)
- Supplementary
- Complementary
Q2. The basic proportionality theorem states that if a line is drawn parallel to one side of a triangle, then it divides the other two sides:
- Equally
- Proportionally ✓ (correct)
- In ratio 1:1
- At their midpoints
Q3. If in triangle ABC, AB = 3 cm, BC = 4 cm, and AC = 5 cm, then triangle ABC is:
- Acute-angled
- Obtuse-angled
- Right-angled ✓ (correct)
- Equilateral
Q4. The area of a triangle with sides a, b, and c is given by:
- sqrt(s(s-a)(s-b)(s-c)) ✓ (correct)
- (1/2) x base x height
- a x b x c
- sqrt(a^2 + b^2 - 2ab cosC)
Q5. If triangle ABC is similar to triangle PQR, and AB:PQ = 2:3, then the ratio of their areas is:
- 2:3
- 4:9 ✓ (correct)
- 8:27
- 6:9
Q6. Two triangles are congruent if:
- They have the same area
- Their corresponding angles are equal
- SSS, SAS, ASA, or AAS conditions are satisfied ✓ (correct)
- They are similar
Q7. In a right-angled triangle, if the hypotenuse is 13 cm and one side is 5 cm, the other side is:
- 8 cm
- 12 cm ✓ (correct)
- 10 cm
- 9 cm
Q8. The angle bisector theorem states that the angle bisector divides the opposite side in the ratio of:
- 1:1
- The adjacent sides ✓ (correct)
- The other two angles
- The altitudes
Q9. If the altitude from vertex A to side BC of triangle ABC is 6 cm and BC = 8 cm, the area is:
- 24 cm^2 ✓ (correct)
- 48 cm^2
- 12 cm^2
- 36 cm^2
Q10. If triangle ABC has sides 6 cm, 8 cm, and 10 cm, then the radius of its circumcircle is:
- 3 cm
- 5 cm ✓ (correct)
- 4 cm
- 6 cm
Frequently Asked Questions
What is the difference between similar and congruent triangles?
Congruent triangles have the same size and shape, while similar triangles have the same shape but different sizes.
How is the Pythagorean theorem used to determine if a triangle is right-angled?
If the square of the longest side equals the sum of squares of the other two sides, the triangle is right-angled.
More 10 Maths MCQs
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