Euler`s Formula Worksheet 1. Find the
... 6. A polyhedron has 6 faces and 7 vertices. How many edges does it have? Explain your answer. 7. A polyhedron has 9 faces and 21 edges. How many vertices does it have? Explain your answer. 8. Use Euler’s Theorem to calculate how many vertices a polyhedron has if it has 12 faces and 30 edges. 9. Use ...
... 6. A polyhedron has 6 faces and 7 vertices. How many edges does it have? Explain your answer. 7. A polyhedron has 9 faces and 21 edges. How many vertices does it have? Explain your answer. 8. Use Euler’s Theorem to calculate how many vertices a polyhedron has if it has 12 faces and 30 edges. 9. Use ...
Non-Euclidean Geometry, spring term 2017 Homework 4. Due date
... Problem 1. On the Euclidean plane, triangles on the same base, and with vertices lying on a line parallel to the base, have the same area. Problem 2. On a hyperbolic plane, triangles on the same base and with the same midline have the same area. Problem 3. Let S be a unit sphere in R3 , and ∆ ⊂ S a ...
... Problem 1. On the Euclidean plane, triangles on the same base, and with vertices lying on a line parallel to the base, have the same area. Problem 2. On a hyperbolic plane, triangles on the same base and with the same midline have the same area. Problem 3. Let S be a unit sphere in R3 , and ∆ ⊂ S a ...
regular polygon
... • Midsegment - line segment joining the midpoints of two sides of a triangle. • Perpendicular bisector: A line which cuts a line segment into two equal parts at 90°. • Angle bisector :A line which cuts an angle into two equal ...
... • Midsegment - line segment joining the midpoints of two sides of a triangle. • Perpendicular bisector: A line which cuts a line segment into two equal parts at 90°. • Angle bisector :A line which cuts an angle into two equal ...
Geometry Chapter 4 Test Section: 5 points each
... 13. Write an equation in point-slope form for the line that passes through the point (-2, 7) with the slope 3. A. y = 3x – 2 ...
... 13. Write an equation in point-slope form for the line that passes through the point (-2, 7) with the slope 3. A. y = 3x – 2 ...
Similar Triangles
... One is an enlargement of the other. This means that the two shapes will have the same angles and their sides will be in the same proportion (e.g. the sides of one triangle will all be 3 times the sides of the other etc.). ...
... One is an enlargement of the other. This means that the two shapes will have the same angles and their sides will be in the same proportion (e.g. the sides of one triangle will all be 3 times the sides of the other etc.). ...
Example: perpendicular lines
... Pyramid – a polyhedron whose base is a polygon whose other faces are triangles that share a ...
... Pyramid – a polyhedron whose base is a polygon whose other faces are triangles that share a ...
Addition of polynomials Multiplication of polynomials
... Example 7. Find the greatest common divisor of a(x) = 2x3 +x2 −2x−1 and b(x) = x3 −x2 +2x−2. Solution. We use the Euclidean Algorithm: first divide a(x) by b(x), then divide b(x) by the remainder, then divide the first remainder by the new remainder, and so on. The last non-zero remainder is the gre ...
... Example 7. Find the greatest common divisor of a(x) = 2x3 +x2 −2x−1 and b(x) = x3 −x2 +2x−2. Solution. We use the Euclidean Algorithm: first divide a(x) by b(x), then divide b(x) by the remainder, then divide the first remainder by the new remainder, and so on. The last non-zero remainder is the gre ...
