Triangles (10 Mathematics)
Triangles are fundamental geometric shapes. Understanding similarity, congruence, and the properties of various triangle types is essential for geometry an
TL;DR: Triangles are fundamental geometric shapes. Understanding similarity, congruence, and the properties of various triangle types is essential for geomet…
Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated
Triangles are fundamental geometric shapes. Understanding similarity, congruence, and the properties of various triangle types is essential for geometry an
Triangles MCQs with Answers & Explanations
Q1. Two triangles are congruent if their corresponding sides and angles are:
- Parallel
- Equal ✓ (correct)
- Perpendicular
- Proportional
Q2. The AAA criterion ensures triangles are:
- Congruent
- Similar ✓ (correct)
- Isosceles
- Right-angled
Q3. In a right-angled triangle, if the two legs are 3 and 4, the hypotenuse is:
- 5 ✓ (correct)
- 6
- 7
- √25
Q4. Two triangles are similar if their corresponding angles are:
- Supplementary
- Equal ✓ (correct)
- Complementary
- Proportional
Q5. The sum of angles in any triangle is:
- 90°
- 180° ✓ (correct)
- 270°
- 360°
Q6. If triangle ABC ~ triangle PQR with a scale factor of 2:3, the ratio of their areas is:
- 2:3
- 4:9 ✓ (correct)
- 8:27
- 2:3
Q7. In an isosceles triangle, the angles opposite the equal sides are:
- Different
- Equal ✓ (correct)
- Supplementary
- Complementary
Q8. The Pythagorean theorem applies to:
- All triangles
- Right-angled triangles only ✓ (correct)
- Isosceles triangles
- Obtuse triangles
Q9. If a triangle has sides 5, 12, and 13, it is:
- Acute-angled
- Right-angled ✓ (correct)
- Obtuse-angled
- Equilateral
Q10. In a triangle, the sum of any two sides must be ____ the third side.
- Less than
- Equal to
- Greater than ✓ (correct)
- At most
Frequently Asked Questions
What are the criteria for congruence of triangles?
The main congruence criteria are SSS (all sides equal), SAS (two sides and included angle equal), ASA (two angles and included side equal), and RHS (right angle, hypotenuse, and one side equal in right triangles).
How is the similarity of triangles useful in real-world applications?
Similar triangles help in indirect measurement (like finding the height of a building using its shadow), scale modeling, surveying, and map-making. The proportionality of sides allows us to calculate unknown lengths without direct measurement.
More 10 Mathematics MCQs
- Coordinate Geometry
- Arithmetic Progressions
- Circles
- Surface Areas and Volumes
- Trigonometry (Applications Case Study)
- Probability (Case Study)
🤖 Stuck on any of these? Ask Syllab's free AI Tutor to explain step by step →