Triangles
Class 10 · Mathematics
3 ideas in Class 10 Mathematics, explained in plain words, with games and quizzes to practise.
Proportionality in Triangles
Part of: Proportionality in Triangles
A line parallel to one side of a triangle divides the other two sides in the same ratio. Conversely, equal side division ratios imply parallelism.
Why it matters. Similarity connects shape, proportion and indirect measurement, while proportionality theorems help prove useful geometric relationships.
Try it in two minutes
- Identify parallel lines or matching triangle parts.
- Match corresponding vertices and sides carefully.
- Choose the theorem whose conditions are met.
Try at home. Draw two differently sized triangles with the same angles and compare corresponding side ratios.
Similarity Criteria
Part of: Similarity Criteria
Similar triangles have equal corresponding angles and proportional corresponding sides. AA, SSS and SAS provide efficient tests using selected corresponding parts.
Why it matters. Similarity connects shape, proportion and indirect measurement, while proportionality theorems help prove useful geometric relationships.
Try it in two minutes
- Identify parallel lines or matching triangle parts.
- Match corresponding vertices and sides carefully.
- Choose the theorem whose conditions are met.
Try at home. Draw two differently sized triangles with the same angles and compare corresponding side ratios.
Pythagoras and Indirect Measurement
Part of: Pythagoras and Indirect Measurement
Similarity supports indirect length measurement. In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
Why it matters. Similarity connects shape, proportion and indirect measurement, while proportionality theorems help prove useful geometric relationships.
Try it in two minutes
- Identify parallel lines or matching triangle parts.
- Match corresponding vertices and sides carefully.
- Choose the theorem whose conditions are met.
Try at home. Draw two differently sized triangles with the same angles and compare corresponding side ratios.
What your child will practise
- Proportionality in Triangles: Candy Quick Fire (Quick Fire)
- Pythagoras and Indirect Measurement: Desert Quick Fire (Quick Fire)
- Pythagoras and Indirect Measurement: Explorer'S Map Quest (Collect the Answer)
- Pythagoras and Indirect Measurement: Jungle Puzzle (Clue Puzzle)
- Similarity Criteria: Number Quest (Collect the Answer)
- Quiz: Proportionality in Triangles (8 questions)
- Quiz: Pythagoras and Indirect Measurement (8 questions)
- Quiz: Similarity Criteria (8 questions)