* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Relationships in Geometry Assignment MPM 1D Name: Due Date
Survey
Document related concepts
System of polynomial equations wikipedia , lookup
Regular polytope wikipedia , lookup
List of regular polytopes and compounds wikipedia , lookup
Complex polytope wikipedia , lookup
Perceived visual angle wikipedia , lookup
Line (geometry) wikipedia , lookup
History of trigonometry wikipedia , lookup
Integer triangle wikipedia , lookup
Rational trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Compass-and-straightedge construction wikipedia , lookup
Trigonometric functions wikipedia , lookup
Multilateration wikipedia , lookup
Transcript
Relationships in Geometry Assignment MPM 1D Name: _______________________ Due Date: ____________________ Part A: Knowledge and Understanding. Determine the measures indicated. Be sure to show all your work. 1. 2. 3. 4. 5. 6. 8. 9. 7. 10. 11. Calculate the length of line segment XY. 12. 13. Which line segments in this diagram are parallel? 14. Calculate the lengths of BE, CE, AC, and BD. 15. Calculate the lengths of PT and ST given that PR measures 14 m and QS measures 10m. 16. Find the sum of the interior angles of a polygon with 10 sides. 17. Find the measure of each interior angle of a regular polygon with 7 sides. 18. How many sides does a polygon have if the sum of its interior angles is 3060°? Part B: Communication 12. Can a triangle have two obtuse angles? Explain. 13. Can a quadrilateral have three obtuse interior angles? Explain. 14. Shauna calculates that x represents an angle measure of 50°. Is she correct? How do you know? Part D: Thinking Consider the following diagram 13. Consider the following deck board problem. Show ALL your work! Part E: Application 17. A decagon is a 10 sided polygon. The sum of the measures of nine angles of a decagon is 1400°. What is the measure of the tenth angle? 18. 3. Derek is building a deck for his summer job in the shape of a regular octagon. a) Define: regular octagon ? b) Determine the measure of the interior angles of the deck. Show your work. 19. On a baseball diamond, home plate has the shape of a pentagon. The pentagon has 3 right angles. The other 2 angles are equal. a) What is the sum of the angles of the pentagon? b) What is the measure of each equal angle? How do you know? 20. A Canadian $1 coin, known as a loonie, is a regular polygon with 11 sides, called an undecagon. a) Define a regular polygon with 11 sides. b) Determine the sum of the interior angles of the loonie. c) What is the size of one of the interior angles? Now Connect Algebra to Geometry: 1. a) The sum of the interior angles in a triangle is: b) An equation that models the sum of the interior angles in this triangle is: c) Solve the equation to determine the value of x. d) Use the value of x to calculate the size of: W: Y: Z: 2. a) The sum of the angles in a right angle is: b) Write 2 equations to model the sums of the 2 sets of angles that add to 90º: (i) (ii) c) Solve these equations to determine the values. (i) solve for xº (ii) solve for yº d) Use the values of x and y to calculate the size of: CBP: ABQ: 3. Write an equation and solve for the unknown. State the theorem used to make the equation. a) b) c) d) e) f) g) h) i) j) i° j° 2i° 75° k) l) 2k° 2l° + 20° k° 2l° l° m) n) 2n° 30° 80° 2k° 120° 3n°