CC Coordinate Algebra Unit 6 – Connecting Algebra and Geometry Though Coordinates Plickers Test Review KEY Name: __________________________________________ Date: _____________________________ 1. The vertices of a right triangle are (6,3), (9,3), and (6,6). What is the length of the hypotenuse? A. 18.6 B. 8 C. 4.2 D. 9 2. Lines that are parallel have __________ slopes. A. negative reciprocal B. same C. opposite D. no way to tell 3. Sue built a ramp that is in the shape of a right triangle. The length of the ramp is 10 meters and the distance along the ground is 8 meters. How high is the ramp at its highest point? A. 6 B. 12.8 C. 18 D. 16 4. Billy and Mary are driving from their houses to school. Billy drives 2 miles south and 1 mile east. Mary drives 3 miles north and 1 mile west. How far apart do they live from each other? A. 9 B. 1 C. 5.3 D. 5.4 5. Find the midpoint of a segment with endpoints (8,10) and (-2,4). A. (5,3) B. (3,7) C. (3,3) D. (2, 0) 6. Which equation is perpendicular to the line y = 3x + 4 and passes through the point (6, -2))? A. y = 3x - 2 C. y = (-1/3)x - 2 B. y = -3x + 16 D. y = (-1/3)x 7. Rectangle WXYZ has the following coordinates: W(2, 1), X(2, 4), Y(4, 4). What’s the missing coordinate for point Z? A. (4, 1) B. (1, 4) C. (2, 2) D. (4, 2) 8. Quadrilateral ABCD has the coordinates: A(6,8), B(6,10), C(12,0), and D(12,12) What is the most specific name for quadrilateral ABCD? A. Parallelogram C. Trapezoid B. Rectangle D. Isosceles trapezoid CC Coordinate Algebra Unit 6 – Connecting Algebra and Geometry Though Coordinates Plickers Test Review 9. Which equation represents a line that is parallel to the line graphed and passes through (1,6)? A. y 1 x 2 2 B. y 1 x 9 2 2 C. y = 2x – 4 D. y = 2x + 4 10. Which of the following points is the shortest distance from the origin? A. (1, 6) B. (2, 6) C. (4, 5) D. (5, 1) 11. Point P is on the line segment from point A(6,12) to point B(22,16) and divides the segment in the ratio 1:3. Which could be the coordinates of P? A. B. C. D. (7, 7) (10, 13) (7.3, 13.3) (11.3, 11.3) 12. What is the perimeter of triangle ABC with vertices A(2,3), B(2,5), and C(5,5)? A. 3.6 B. 8.6 C. 8 D. 4 13. Susie lives on the corner of 3rd Street and 15th Avenue. Joe lives on the corner of 18th Street and 5th Avenue. They decide to meet at the Avenues which is 1/5 of the distance from Joe’s to Susie’s. What are the coordinates of the avenue? A. 15th Street and 7th Avenue(15, 7) B. 6th Street and 13th Avenue(6, 13) C. Middle of block at (15.5, 6.7) D. 12th Avenue and 3rd Street (12, 3) _______14. What would you use to prove that opposite sides of a parallelogram are congruent? a. Slope of adjacent sides b. Slope of opposite sides c. Lengths of diagonals d. Length of sides _______15. What would you use to prove opposite sides of a rectangle are parallel? a. Slope of diagonals are opposite reciprocals b. Length of opposite sides are the same c. Slope of opposite sides are the same d. Slopes of opposite sides are opposite reciprocals CC Coordinate Algebra _______16. Unit 6 – Connecting Algebra and Geometry Though Coordinates Plickers Test Review What do you use to prove that diagonals are perpendicular? a. b. c. d. _______17. Slope of diagonals are opposite reciprocals Length of opposite sides are the same Slope of opposite sides are the same Slopes of opposite sides are opposite reciprocals Does the point (3,6) lie inside, outside or on the circle with center (0,0) and a radius of 6.8 unites? a. Inside b. Outside c. On d. I give up! The median of a triangle is the line segment from one vertex to the midpoint of the opposite side. 18. Find the midpoint of AB and label the midpoint D. What are the coordinates? A. (1,2) B. (1, -1) C. (-1, 2) D. (-1, 3) 19. Draw segment CD using Point D that you just found. What is the area of the bottom triangle (BCD)? A. 12 B. 6 C. 7 D. 24 20. If A is at -3 and B is at 13, find T that partitions AB into the ratio 3:5. A. 3 B. -2.25 C. 5 D. 0 _______21. Using the map to the right, find the midpoint between the school and the grocery store. A. B. C. D. (1, -3) (2, -6) (3, 5) (1,-4)