3 John likes to experiment with geometric. 4 Which of the following conjectures is true for

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1 1 Rectangle ABCD is drawn on a coordinate plane. Each angle measures 90. The rectangle is reflected across the y axis, translated 9 units down, and then rotated 180 clockwise about the origin. What would be the measure of angle B of the resulting rectangle? 3 John likes to experiment with geometric figure transformations. He reflected Triangle XYZ across the x axis and then rotated it 90 counterclockwise about the origin. If angle Y measured 68 before the transformation, what would be its measure after the transformation? 2 Samantha is studying the geometric design of roads. She uses a surveying tool to measure the angles at the intersections of the roads near to her school, which are shown in the picture below (NOT to scale). Samantha noted that Smith Street is parallel to Abbey Road. 4 Which of the following conjectures is true for all cases about the lines in the image below? Which of the following statements are true about the picture? Select three that apply. A. The value of x is 8. B. The value of x is 21. C. The measure of angle A is 42. D. The measure of angle B is 42. Angles A and B are same side interior angles. A. If two lines are cut by a transversal such that the corresponding angles, alternate interior angles and alternate exterior angles are all congruent to each other, then the lines must be parallel. B. If two lines are cut by a transversal such that the corresponding angles are congruent, alternate interior angles are congruent, and alternate exterior angles are congruent then the lines must be parallel. C. If two lines are cut by a transversal such that the corresponding angles are supplementary, alternate interior angles are supplementary, and alternate exterior angles are supplementary then the lines must be parallel. D. If two lines are cut by a transversal such that the corresponding angles are congruent, alternate interior angles are congruent, and alternate exterior angles are congruent then the lines must be perpendicular. Generated On May 3, 2017, 1:28 PM PDT Page 1

2 5 Use the angle relationship in the figure below to solve for x. Assume that lines a and b are parallel and the given angles are given in degrees. 8 Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply. A. Each pair of vertical angles is B. Each pair of corresponding angles is C. Each pair of supplementary angles is D. Each pair of alternate interior angles is 9 Suppose a line segment with a length of 9 in. that is located in Quadrant I of a coordinate plane is reflected across the x axis. Which of these statements are correct about the resulting figure? Select two that apply. A. It will still be a line segment. B. It will still have a length of 9 in. C. It will still be located in Quadrant I. 6 Which of these equations has an infinite number of solutions? Select two that apply. A. 2x + x 4 = x x x B. x + 2x = 3(x + 3) C. 4(x + 9) = 2(2x + 9) + ( 18) D. 7x 9 = 2x 5x 9 6 ( 12 2 ) x 7 Which of these equations has a solution of x = 2? Select three that apply. A. 3(x + 4) = 16x 14 B. 5x 11 = 6x x 11 C. 4x + 9 = 2(2x + 9) D. 12x + 7 = (2x 3) + 16x 4 ( 12) 10 Which of these statements are correct about an angle measuring 78 in a coordinate plane? Select three that apply. A. If it is reflected across the line y = x, it will still B. If it is translated 22 units down, it will no longer C. If it is rotated 180 about the origin, it will no longer D. If it is reflected across the y axis, it will no longer If it is translated 26 units to the left, will still F. If it is rotated 90 about the origin, will still 11 Which of these is a solution to the equation 2(x 5) = 9 3x x + 7? Select one that applies. A. 10 B. 20 C. 80 Generated On May 3, 2017, 1:28 PM PDT Page 2

3 12 y 3 Mika used the proportion = 1 x 3 A. B. when deriving the equation of a line with similar triangles. Which of these statements about the line are correct? Select two that apply. The line has a slope of 1 3. The line has a slope of 1 3. C. The line has a slope of 3. D. The line has a y intercept of 3. The line has a y intercept of 1. 3 F. The line has a y intercept of Pierce used the proportion y x = 7 2 when deriving the equation of a line with similar triangles. Which of these statements about the line are correct? Select two that apply. A. The slope of the line is 0. B. The slope of the line is 2. 7 C. The slope of the line is 7 2. D. The y intercept of the line is 0. The y intercept of the line is 2. 7 F. The y intercept of the line is Gustavo noticed that when a pair of parallel lines was cut by a transversal, a certain pair of adjacent angles formed a straight line. What can he conclude from this observation? Select one that applies. A. that the angles must be complementary B. that the angles must be supplementary C. that each of the angles must measure Suppose a line graphed on a coordinate plane represents the distance traveled in miles by an automobile as a function of time in hours. Assuming that the relationship between time and distance traveled is proportional, which of these statements is correct? Select one that applies. A. If the automobile was going 25 mph, the slope of the line is B. If the automobile was going 30 mph, the slope of the line is C. If the automobile was going 35 mph, the y intercept of the line is 35. D. If the automobile was going 40 mph, the y intercept of the line is If the automobile was going 45 mph, the y intercept of the line is F. If the automobile was going 50 mph, the slope of the line is Enter the value for x that makes the equation 3(x 4) + 2x 12 true. Generated On May 3, 2017, 1:28 PM PDT Page 3

4 17 Select all equations that have one solution. A. 2x + 2x + 2 = 4x + 2 B. 3 (4x 8) = Right triangle EFG and right triangle EHG overlap as shown below. Angle HEG measures 35 and angle FGE measures 30. C. x + x (x + x) = 2x x + 2 D. 1 2 (x) = x ( x 2) = 3(x 2) 18 Select all equations that have no solution. A (x + 6) B. 3(3x 4) = 9x + 11 C. 11x (x + 5) = 2( 5x 3) D. 3x (x x) = x + 4 3x x (5 2x) ( 4x) 19 Select all equations that have infinite A (x 1) B. 2x + 7 = 2x 7 C. 5x + 4 = 5(x + 4) D. x (x x) = x 5 4x A shipping company charges a $5 flat fee for a package, plus a fee based on the weight of the package. The company charges $1.50 per pound, plus an additional $0.50 for every pound over 5 pounds. Jakob plans on sending a package that is over 5 pounds. He has $30 to spend on shipping. What is the maximum number of pounds that his package could be? Enter your answer as a decimal. pounds What are the values of x and y? y = 22 The hypotenuse of right triangle ABC is AC, and the hypotenuse of right triangle DEF is DF. If points A, C, D, and F all lie on the same line, which of these statements is true about the two triangles? A. They need not be similar, and they need not be B. They must be similar, but they need not be C. They must be congruent, but they need not be similar. D. They must be both similar and 23 Why does the equation 7x + 13x 5 15 = x + 6x have an infinite number of solutions? A. because if you add 20x to both sides of the equation and simplify, you get 20 = 20 B. because if you add 20x to both sides of the equation and simplify, you get 20 = 0 C. because if you subtract 20x from both sides of the equation and simplify, you get 20 = 20 D. because if you subtract 20x from both sides of the equation and simplify, you get 20 = 0 Generated On May 3, 2017, 1:28 PM PDT Page 4

5 24 Which of these is a correct statement? A. The equation 3 x + 4 = x + 7 has no B. The equation x 2 = 15x + 8 9x has one solution. C. The equation 4x x has two D. The equation 9 + 3x 1 = x has an infinite number of Stop: You have finished the assessment. Generated On May 3, 2017, 1:28 PM PDT Page 5