Similarity
ICSE · Class 10 · Mathematics
Flashcards for Similarity — ICSE Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Get startedSolve 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 …
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…
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…
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…
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°.
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°.
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…
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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