Similar Triangles
Telangana Board · Class 10 · Mathematics
Flashcards for Similar Triangles — Telangana Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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What are similar figures? Give two examples.
Answer
Similar figures are geometrical figures that have the same shape but are not necessarily of the same size. All corresponding angles are equal and all corresponding sides are in proportion. Examples: …
State the conditions for two polygons to be similar.
Answer
Two polygons with the same number of sides are similar if: 1. All corresponding angles are equal AND 2. All corresponding sides are in the same ratio (proportion) Both conditions must be satisfied f…
What is the scale factor (representative factor) in similar figures?
Answer
The scale factor is the ratio of corresponding sides of similar figures. If scale factor k = corresponding side of figure 1/corresponding side of figure 2, then: • If k > 1: Figure 1 is enlarged com…
State the Basic Proportionality Theorem (Thales Theorem).
Answer
**Basic Proportionality Theorem (Thales Theorem):** If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in …
State the converse of the Basic Proportionality Theorem.
Answer
**Converse of Basic Proportionality Theorem:** If a line divides two sides of a triangle in the same ratio, then the line is parallel to the third side. In △ABC, if AD/DB = AE/EC, then DE || BC Thi…
What is the AAA (or AA) criterion for similarity of triangles?
Answer
**AAA Criterion for Similarity:** If in two triangles, corresponding angles are equal, then their corresponding sides are in proportion and the triangles are similar. **AA Criterion:** If two angles…
What is the SSS criterion for similarity of triangles?
Answer
**SSS Criterion for Similarity:** If in two triangles, corresponding sides are proportional, then their corresponding angles are equal and the triangles are similar. In △ABC and △DEF: If AB/DE = BC/…
What is the SAS criterion for similarity of triangles?
Answer
**SAS Criterion for Similarity:** If one angle of a triangle is equal to one angle of another triangle and the including sides of these angles are proportional, then the two triangles are similar. I…
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