Triangles — Flashcards
Gujarat Board · Class 10 · Mathematics
24 flashcards for Triangles (Gujarat Board Class 10 Mathematics) to test yourself on key terms and facts. Sample: "What are similar figures? How do they.
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What are similar figures? How do they differ from congruent figures?
Answer
Similar figures have the same shape but not necessarily the same size. All congruent figures are similar, but similar figures need not be congruent. For example, all circles are similar regardless of …
State the conditions for two polygons to be similar.
Answer
Two polygons of the same number of sides are similar if: (i) their corresponding angles are equal, and (ii) their corresponding sides are in the same ratio (proportion). Both conditions must be satisf…
What is the Basic Proportionality Theorem (Thales Theorem)?
Answer
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 the same ratio. If DE || BC in triangle ABC, then AD/…
State the converse of the Basic Proportionality Theorem.
Answer
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. If AD/DB = AE/EC in triangle ABC, then DE || BC.
What are the conditions for two triangles to be similar?
Answer
Two triangles are similar if: (i) their corresponding angles are equal, and (ii) their corresponding sides are in the same ratio (proportion). Symbol used: △ABC ~ △DEF (triangle ABC is similar to tria…
State the AAA (Angle-Angle-Angle) similarity criterion.
Answer
If the corresponding angles of two triangles are equal, then their corresponding sides are in the same ratio and the triangles are similar. Since the sum of angles in a triangle is 180°, if two angles…
What is the AA (Angle-Angle) similarity criterion?
Answer
If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar. This is a simplified form of AAA criterion since the third angle becomes equ…
State the SSS (Side-Side-Side) similarity criterion.
Answer
If the sides of one triangle are proportional to the sides of another triangle, then their corresponding angles are equal and the triangles are similar. If AB/DE = BC/EF = CA/FD, then △ABC ~ △DEF.
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