Unit 2 Test Review 1. 2. Write the equation of a circle with radius 4 and center at the origin in standard form: _________ a. Graph the equation of the circle: b. Find 4 points on the circle with coordinates that have whole number coordinates. c. Fill in the missing coordinate of the ordered pair located on the circle (3, ?) and (?, 4) 3. A size transformation with magnitude 3.5 and center at the origin is applied to a right triangle with legs of length 4 and 5 units. a. Find the length of the hypotenuse of the original triangle: __________________ b. What are the lengths of the three sides of the image triangle? (Hint: triangle with magnitude 3.5) c. What is the area of the given triangle and of its image? d. What is the perimeter of the given triangle and of its image (be careful about radicals!!!)? 0 −4 2
, find the vertex matrix using the following −4 1 5
transformations (from the pre-­‐image; NOT COMPOSITE): 4. Given ∆𝐴𝐵𝐶 with vertex matrix a. under a reflection across the y-­‐axis b. under a 90° counterclockwise rotation c. 90° clockwise rotation d. <-­‐4,5> e. reflection over the line y=-­‐x f. magnitude of 2 5. Triangle ABC has vertex matrix 2
3
−2
4
1
3
and Triangle A’B’C’ has vertex matrix 0
4.5
−3
6
1.5
0
Does this show a size transformation, why or why not? (Hint: try graphing it!) 6. Given the points P(3,3), Q(4,3) and R (4,5) for ∆𝑃𝑄𝑅, graph the preimage and the coordinate for the image under a “horizontal component” of -­‐1 and “vertical component” of 2. a. Write the symbolic rule (using x & y) to represent this transformation. b. Write this as a “vector” and explain what each part means. 7. Fill in the following blanks based off of the graph:
a. center = ______ b. radius = ______ c. equation in standard form = ________________________________ 8.