Similarity Of Triangles — Flashcards
NIOS · Class 10 · Maths
28 flashcards for Similarity Of Triangles (NIOS Class 10 Maths) to test yourself on key terms and facts. Part of the NIOS Class 10 Maths syllabus.
Interactive on Super Tutor
Studying Similarity Of Triangles? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.
Free trial, no card needed.
Solve: In triangle ABC, if DE is parallel to BC, AD = 3 cm, DB = 5 cm, and AE = 6 cm, find AC.
Answer
Step 1: Use Basic Proportionality Theorem: (AD)/(DB) = (AE)/(EC). Step 2: Substitute values: 3/5 = 6/EC. Step 3: Cross-multiply: 3 × EC = 5 × 6 = 30. Step 4: EC = 10 cm. Step 5: AC = AE + EC = 6 + 10 …
When do you use the Basic Proportionality Theorem? Apply it to a triangle with a line parallel to one side.
Answer
Use it when a line is drawn parallel to one side of a triangle and intersects the other two sides. Formula: (AD)/(DB) = (AE)/(EC) Meaning: AD and DB are the two parts of one side, and AE and EC are th…
Is DE parallel to BC? Given AD = 4 cm, DB = 5 cm, AE = 4.5 cm, and EC = 5 5/8 cm.
Answer
Step 1: Check the ratio AD/DB = 4/5. Step 2: Convert EC = 5 5/8 = 45/8 cm. Step 3: Check AE/EC = 4.5/(45/8) = 4.5 × 8 / 45 = 4/5. Step 4: The ratios are equal. Answer: DE is parallel to BC by the conv…
Find x: In triangle ABC, AD = 4.5 cm, AB = 6 cm, AC = 8 cm, and AD is the bisector of angle A. Find CD.
Answer
Step 1: Use Angle Bisector Theorem: (BD)/(DC) = (AB)/(AC). Step 2: Substitute values: 4.5/x = 6/8. Step 3: Cross-multiply: 6x = 4.5 × 8. Step 4: 6x = 36. Step 5: x = 6 cm. Answer: CD = 6 cm.
Solve: A triangle has sides 28 cm, 36 cm, and 48 cm. The bisector of the angle opposite the smallest side meets that side at D. Find BD and DC.
Answer
Step 1: The smallest side is 28 cm, so the opposite angle is bisected. Step 2: Use Angle Bisector Theorem: BD/DC = AB/AC = 36/48 = 3/4. Step 3: Let BD = 3k and DC = 4k. Step 4: BD + DC = 28, so 3k + 4…
Why are a rectangle and a square not similar?
Answer
Two polygons are similar only if corresponding angles are equal and corresponding sides are proportional. A rectangle and a square have equal corresponding angles, but their sides are not proportional…
Which pairs are similar and which are congruent? 1) Two line segments of the same length 2) Two line segments of different lengths 3) Two circles of the same radius 4) Two circles of different radii
Answer
Step 1: Same length line segments are congruent and similar. Step 2: Different length line segments are similar but not congruent. Step 3: Circles with the same radius are congruent and similar. Step …
What does the symbol ~ mean in similarity of triangles?
Answer
The symbol ~ means 'is similar to'. Example: If triangle ABC ~ triangle DEF, then corresponding angles are equal and corresponding sides are proportional. Quick check: If AB/DE = BC/EF = CA/FD, then t…
+20 more flashcards
Practise AllFrequently Asked Questions
What are the important topics in Similarity Of Triangles for NIOS Class 10 Maths?
How many flashcards are available for Similarity Of Triangles?
How should I revise Similarity Of Triangles for the NIOS Class 10 board exam?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Similarity Of Triangles
Practice Quiz
Test yourself with a quick quiz
Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Syllabus
What topics to cover
For serious students
Get the full Similarity Of Triangles chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for NIOS Class 10 Maths. Free to start, no card needed.