Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Cartesian coordinate system wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Euler angles wikipedia , lookup
Riemannian connection on a surface wikipedia , lookup
Rational trigonometry wikipedia , lookup
Analytic geometry wikipedia , lookup
Euclidean geometry wikipedia , lookup
Signed graph wikipedia , lookup
Steinitz's theorem wikipedia , lookup
Multilateration wikipedia , lookup
Honors Geometry Chapter 3 Test Review (Complete on your own paper) 1-8. Use sketch to name the angle pairs. 1 a 2 3 b 4 6 5 8 7 1 4 3 6 8 7 5 r 1. ∠8 , ∠ 4 5. ∠2, ∠ 4 2. ∠6, ∠ 3 6. ∠5, ∠1 3. ∠6, ∠4 7. ∠6, ∠7 4. ∠7 , ∠1 8. ∠5, ∠ 3 c 9. In the sketch, l || n and r is a transversal. Are the statements to the right true or false? 2 Name _____________________ Hour ____ Teacher __________ a. b. c. d. e. f. g. ∠3 ≅ ∠5 ∠1 ≅ ∠5 ∠1 ≅ ∠8 ∠2 ≅ ∠6 ∠6 and ∠7 are supplemental ∠2 and ∠4 are supplemental ∠7 and ∠4 are supplemental n l 10. Find the value of x that makes l || m . 11. Find x. l A (4x - 3)° (14x - 33)° m J 12. Graph: C (3x + 3)° (10x - 70)° 5x – 4y = 8 x=4 y = -2 K 13. Graph the line that satisfies the following conditions: contains the point B (1, -4) and is perpendicular to line JK with J(-2, 1) and K(3, 2). Remember to label each line on your graph. 14. Name one pair of angles which, if congruent, would prove m || n. EXPLAIN. n x 3 6 m y 4 7 . 3 a. State the slope of a line parallel to line l. b. State the slope of a line perpendicular to line l. 15. Line l has a slope of 5 1 2 16. Write an equation in point-slope form for the line that passes through the points (3, -5) and (5, -9). 17. Convert the equation from #16 to slope-intercept form. 18. Convert the equation from #16 to standard form. 19. Write the equation of the line in slope-intercept form that passes through the point (7, -5) and is parallel to the line that goes through the points (2, 5) and (-5, 2). 20. Write the equation of the line in standard form that passes through the point (-20, 40) and is perpendicular to 4x – 5y = 8. 21. Solve this system using substitution: 22. Solve this system using elimination: 3y - 4x = 7 2y + 3x = 16 5y + 3x = 2 x = 3y + 10 23. a) Graph the point C (4, -1) and line m , which is 4 y = − x - 4. 3 b) Draw the segment that shows the distance from point C to line m. c) Write the equation for the line from point C to line m in slope-intercept form. Show all work. d) Use substitution or elimination (don’t guess) to determine the point where your line in part c intersects line m. Show all work. e) Find the distance from point C (4, -1) to line m. Show all work. 24. Complete the proof puzzle with the pieces given. Given: m f || g l 16 15 14 13 10 9 11 12 8 7 5 6 2 1 3 l || m Prove: ∠7 ≅ ∠11 f g 4 Statements Reasons ∠15 ≅ ∠11 Transitive ∠7 ≅ ∠11 l || m If || lines, then alt. int. ∠' s ≅ If || lines, then corr. ∠' s ≅ ∠7 ≅ ∠15 f || g 25. Draw a line and a point not on the line. Construct a line parallel to given line through the point not on the given line by corresponding angles. 26. Draw a line and a point not on the line. Construct a line parallel to given line through the point not on the given line by alternate interior angles. 27. Draw a line and a point not on the line. Construct a line perpendicular to given line through the point not on the given line. 28. Draw a line and a point on the line. Construct a line perpendicular to given line through the point on the given line.