Name: Class: Date: a. 1 3 b. 4 6 c. 4 5 d a. 15 b. 57 c. 65 d. 115

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1 Name: Class: Date: SLO #2 Post TEST 1. Which type of transformation maps ABC to A B C? 3. Which information proves r Ä s? a. Rotation b. Reflection c. Translation d. Dilation a. 1 3 b. 4 6 c. 4 5 d In JKLM, solve for the value of m K. 2. Which postulate or theorem can you use to prove ABE CDE? a. 15 b. 57 c. 65 d. 115 a. SSS b. SAS c. ASA d. AAS 5. Which is NOT true of a parallelogram? a. Consecutive angles are complementary b. Opposite angles are congruent c. Opposite sides are congruent d. Diagonals bisect each other 1

2 6. Which angles are adjacent AND form a linear pair? 9. Which rotation about point P maps C to H? a. 1 and 2 b. 2 and 3 c. 2 and 4 d. 4 and 5 a. 45 counterclockwise b. 90 counterclockwise c. 135 counterclockwise d. 225 counterclockwise 7. Which term describes PMN? a. Acute b. Right c. Obtuse d. Straight 8. Which figure has rotational symmetry? a. trapezoid b. triangle c. both d. neither 2

3 10. Which of the following diagrams represents a translation parallel to line l, then a reflection over line l? 11. Which figure is similar to the given quadrilateral? a. a. b. b. c. c. d. d. 12. Complete the similarity statement. ABC a. ZYX b. YZX c. XZY d. XYZ 3

4 13. If KLM RST, solve for the value of x. 15. If ABCD TUVW, solve for the measure of CD. a. 12 b. 18 c. 33 d. 45 a. 12 b. 28 c. 42 d Solve for the m U. 16. Which is equal to the cosine of R? a. 5 b. 15 c. 40 d. 120 a. 0.6 b c. 0.8 d

5 17. Which trigonometric ratio is defined as opposite leg adjacent leg? 19. When the angle of elevation of the sun is 50, a flagpole casts a shadow that is 16.8 ft long. What is the height of the flagpole to the nearest foot? a. sine b. cosine c. hypotenuse d. tangent 18. A cottage has a gable roof. To the nearest foot, how wide is the cottage? a. 13 ft b. 14 ft c. 19 ft d. 20 ft a. 12 ft b. 24 ft c. 35 ft d. 70 ft 20. Which of the following is the equation of a line that passes through Ê Á2,1ˆ and is perpendicular to 5x + y = 9? a. x + 5y = 3 b. y = 5x c. x + 5y = 3 d. y = 5x

6 21. Given a line with a slope of 2, what is the slope of any line parallel to the given line? 24. Find the area of the quadrilateral with the vertices AÊ Á 2,2 ˆ, B Ê Á3,6ˆ, C Ê Á5,6ˆ, and D Ê Á 4,2 ˆ? a. 1 2 b. 2 c. 1 2 d What best describes the relationship between the lines 6x 2y = 1 and x + 3y = 12? a. parallel b. perpendicular c. skew d. equivalent a. 4 units 2 b. 8 units 2 c. 10 units 2 d. 12 units TS Ä PR. Solve for the length of QS. 23. What is the area of JKL if the coordinates of J, K, and L are JÊ Á 0,0 ˆ, K Ê Á0,3ˆ, and L Ê Á 4,0 ˆ? a. 15 b. 20 c. 22 d. 24 a. 6 units 2 b. 6 units c. 12 units 2 d. 12 units 6

7 ID: A SLO #2 Post TEST Answer Section 1. B G-CO.4: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. 2. C G-CO.8: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. 3. B G-CO.9: Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment s endpoints. 4. C G-CO.11: Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. 5. A G-CO.11: Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. 6. D G-CO.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. 7. C G-CO.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. 8. B G-CO.4: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. 9. C G-CO.5: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. 1

8 ID: A 10. D G-CO.5: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. 11. B G-SRT.2: Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. 12. A G-SRT.2: Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. 13. B G-SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. 14. D G-SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. 15. C G-SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. 16. C G-SRT.6: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. 17. D G-SRT.6: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. 18. B G-SRT.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. 19. D G-SRT.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. 2

9 ID: A 20. C G-GPE.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). 21. D G-GPE.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). 22. B G-GPE.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). 23. A G-GPE.7: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. 24. B G-GPE.7: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. 25. B G-SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. 3