Nội dung text LECTURE NOTES DAY 07_SOLID GEOMETRY.pdf
• Similarities • Platonic Solids • Prisms and Cylinders • Pyramids and Cones • Spheres, Spherical Segments • Pappus Theorems • Prismatoid • Frustum Success is where preparation and opportunity meet. -Bobby Unser
Success is where preparation and opportunity meet. -Bobby Unser Similar Figures – those whose corresponding parts have the same ratio. Note: Similar is not the same as Congruent Congruent figures have the same corresponding parts. Also take note that similar triangles have the same shape. • Triangle Similarities • Angle-angle Similarity b z = c y = a x
Success is where preparation and opportunity meet. -Bobby Unser Triangle Similarities • Side-side-side similarity If corresponding sides of a triangle are proportional, then the triangles are similar. • Side-Angle-Side Similarity – if two sides of one triangle are proportional to two sides of the other triangle and the included angles are congruent. a x = b y = c z