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Similarity — Flashcards

ICSE · Class 10 · Mathematics

24 flashcards for Similarity (ICSE Class 10 Mathematics) to test yourself on key terms and facts. Sample: "Solve using SSS similarity: If AB/PQ = BC/QR"

40 questions24 flashcards5 formulas & key relations5 concepts

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A comparison illustrating the difference between congruent figures (same shape and size) and similar figures (same shape, different size), using examples of triangles and other polygons.
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24 Flashcards·
SSS similarityAA similaritySAS similarityProportional sidesAngle sum in trianglesAngles in similar trianglesSimilarity vs congruencyTransitive property of similarity
Card 1SSS similarity

Solve using SSS similarity: If AB/PQ = BC/QR = AC/PR, what does this show about triangles ABC and PQR?

Answer

Step 1: Check the three side ratios. Step 2: If all three ratios are equal, the triangles satisfy the SSS similarity condition. Step 3: Therefore, triangle ABC is similar to triangle PQR. Answer: The …

Card 2AA similarity

Solve: In two triangles, ∠A = ∠P and ∠B = ∠Q. What can be concluded?

Answer

Step 1: Two pairs of corresponding angles are equal. Step 2: The AA corollary applies. Step 3: Two triangles with two equal corresponding angles are similar. Answer: The triangles are similar by AA co…

Card 3SAS similarity

Solve: AB/PQ = BC/QR and ∠B = ∠Q. Which similarity test is used?

Answer

Step 1: Two pairs of corresponding sides are proportional. Step 2: The included angles are equal. Step 3: This matches the SAS similarity condition. Answer: The triangles are similar by SAS similarity…

Card 4Proportional sides

Why does proportionality of sides not mean equal sides? Give a quick example idea.

Answer

Step 1: Proportional sides have the same ratio. Step 2: Equal sides have the same length. Step 3: Two triangles may have side ratios like 2:3:4 and 4:6:8. Step 4: The ratios are equal, but the sides a…

Card 5Angle sum in triangles

Apply angle-sum property: If angles are 2x, 3x, and 4x, find x.

Answer

Step 1: Use angle sum property. Step 2: 2x + 3x + 4x = 180° Step 3: 9x = 180° Step 4: x = 20° Answer: x = 20°.

Card 6Angles in similar triangles

Apply angle-sum property: If triangle angles are 2y, 3y, and 4y, find y and the angles.

Answer

Step 1: Use angle sum property. Step 2: 2y + 3y + 4y = 180° Step 3: 9y = 180° Step 4: y = 20° Step 5: Angles are 40°, 60°, and 80°. Answer: y = 20°; angles are 40°, 60°, 80°.

Card 7Similarity vs congruency

What is the difference between similar figures and congruent figures?

Answer

Step 1: Similar figures have the same shape but may have different sizes. Step 2: Congruent figures have the same shape and the same size. Step 3: So every congruent figure is similar, but not every s…

Card 8Transitive property of similarity

Can two triangles both similar to a third triangle be similar to each other?

Answer

Step 1: If two triangles are similar to a third triangle. Step 2: They have the same shape relation with that triangle. Step 3: Therefore, they are similar to each other. Answer: Yes, they are similar…

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Frequently Asked Questions

What are the important topics in Similarity for ICSE Class 10 Mathematics?
Key topics in Similarity include Similar Figures and Similar Triangles, Conditions for Similarity of Triangles, Basic Proportionality Theorem and Its Converse, Internal Angle Bisector Theorem and Its Converse. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How many flashcards are available for Similarity?
There are 24 flashcards for Similarity covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Similarity for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 40 practice questions on Similarity. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All ICSE Class 10 Mathematics Flashcards

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