Answer all the following grade 10 geometry questions

Answer all the following grade 10 geometry questions
Page 1 of 3 MPM 2D0 – Analytical Geometry – Assignment #3 Part 1 Multiple Choice : Name : __________________________ For each question place the letter of the best answer on the line provided. (No work needed to be shown) 1. The slope of the line segment between points A( 4, -1) and B ( 1, 3) is : _____ a) b) c) d) e) 2. The exact value of the length of a line segment with endpoints at A( -7, -8) and B( 9, 11) is: _____ a) units b) units c) units d) units e) units 3. The midpoint of a line segment is located at M( 6, 10). If one endpoint of the line segment is located at (12, 17) , the other endpoint is located at: _____ a) (24,37) b) (9, ) c) (0,3) d) (18,24) e) (0,0) 4. In the circle , the radius is: _____ a) 37 units b) 18.5 units c) 74 units d) units e) units 5. Which point lies on the circle ? _____ a) (0, -100) b) (-8,6) c) (10, -10) d) ( ,0) e) (25,75) 3 2 − 3 2 5 2 3 4 3 4 − 13 617 35 1225 14.3 2 27 37 2 2 = +y x 37 37 2 100 2 2 = +y x 10 Page 2 of 3 6. The equation of the circle with centre at ( 0, 0 ) and a radius of 4 is: _____ a) b) c) d) 7. The right bisector to has a slope of: _____ a) -3 b) c) d) e) 8. Which of the following lines runs beside and is parallel to ? _____ a) b) c) d) e) 9. The distance from the origin to the line is: _____ a) -2 units b) 2 units c) units d) 4 units e) 0 units 10. What is the product of the two slopes of lines that are perpendicular to each other? _____ a) 1 b) -1 c) 2 d) e) 0 2 2 = +y x 2 2 2 = +y x 4 2 2 = +y x 16 2 2 = +y x 0 10 2 3 = − + y x 2 10 2 3 − 3 2 − 3 2 0 16 4 3 = − + y x 16 3 + = x y 4 8 6 + = x y 16 3 4 + = x y 7 4 3 + − = x y 16 3 4 − = − x y 2− =x 2 2 1−  Page 3 of 3 Part 2 Short Answer: The graph can be used for reference, but determine the answer using algebra and equations. Show all work. Equation of the Altitude Points: are the vertices of a triangle. Determine the equation of the altitude of the triangle from D to side FE . State the equation in standard from. ( ) ( ) ( ).7,3 1,7 ,3,5 − − − F and E D