Similarity of Triangles (Grade 10 NSC Matric Mathematics): Flashcards
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10 cards from this deck
Define similar triangles
Define similar triangles
Same shape, not same size; equal angles, proportional sides
Symbol for triangle similarity
Symbol for triangle similarity
(read as 'is similar to')
Corresponding angles in similar triangles
Corresponding angles in similar triangles
Equal
Corresponding sides in similar triangles
Corresponding sides in similar triangles
Proportional
Establishing similarity for triangles
Establishing similarity for triangles
Either equal angles OR proportional sides (AAA, SSS, SAS)
Ratios of corresponding sides in similar triangles
Ratios of corresponding sides in similar triangles
Constant/same
Vertex order in similarity statements
Vertex order in similarity statements
Must list corresponding vertices in same position
Similar triangles' role in trigonometry
Similar triangles' role in trigonometry
Foundation of trigonometry; enables consistent ratios
Hypotenuse in right-angled triangle
Hypotenuse in right-angled triangle
Longest side, opposite the right angle
Opposite side in right-angled triangle
Opposite side in right-angled triangle
Side opposite to the angle being considered