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Geometry Unit 6 Review Assignment Revised Summer 08 Show all work on a separate sheet of work paper. Remember to follow the criteria for credit. Competency 1: Properties of Special Quadrilaterals – Part 1 9. Find the length of the sides of the isosceles trapezoid PQRS below. Decide whether the statement is always, sometimes or never true. 1a. A parallelogram is a trapezoid. 1b. TRUE or FALSE Some, but not all, squares are parallelograms. 2. S 2x - 1 Use slope and/or distance formulas to determine the most precise name for the quadrilateral with the given vertices. A (-2, 1); B (0, 3); C (2, 1); D(0, -1). 4x - 3 Q 3. Use slope and/or distance formulas to determine the most precise name for the quadrilateral with the given vertices. A (1, 1); B (1, -3); C (6, 2); D(4, 4). 4. Name all special quadrilaterals that satisfy the following condition: TWO PAIRS OF CONGRUENT SIDES 5. 2x + 3 P 10. R 6x - 3 Use the information provided in the drawing to find the value of the variables. The figure is a parallelogram. DC = 4x - y + 1 D On a grid, draw a rectangle that is also a rhombus. 2x - 1 3y + 5 Competency 2: Properties of Special Quadrilaterals – Part 2 6. Find the measures of the numbered angles in each of the figures below. 1 Competency 3: Transformations 2 11. 70° 7. C Using the drawing of the quadrilateral ABCD below, draw its reflection image across the y-axis. Find the value of the variable from the figure below. y A x° 8. D 4y-6x x+1 C A y-3 2x-4 D C x (2x)° Find the lengths of the sides of rhombus ABCD in the diagram below. B Page 1 of 4 B © Mastery Mathematics Geometry 12. Unit 6 Review Assignment 18. Using the drawing below, what is the image of B under the translation 4,1 . Revised Summer 08 Which hexagon has exactly 1 line of symmetry? Sketch it in. y B. A. x C. For questions 19 & 20, identify what type of symmetry the figure has. If it has reflectional symmetry, draw the line(s) of symmetry. If it has rotational symmetry, state the angle of rotation. 19. Use the figure on the grid below for questions 13 – 15. y 20. x HOOD Competency 5: Distributed Practice 1 21. Ray BD bisects <ABC. If the m<DBC = 28 º, what is the m<ABD? a.14 º b. 28 º c. 56 º d. 62 º e. 152 º 13. Sketch a reflection about the x axis. 14. Sketch a rotation of 90º counterclockwise about the origin. 15. 22. Let p be “It is raining,” let q be “It is thundering.” Sketch a rotation of 180º counterclockwise about the origin. Competency 4: Symmetry & Coordinate Transformations 16. Draw the line of symmetry for the following figure. 17. Sketch a triangle that has no lines of symmetry. Page 2 of 4 © Mastery Mathematics What is the converse of p q a. If it is thundering, then it is raining. b. If it is not raining, then it is not thundering. c. If it is not thundering, then it is not raining. d. If it is not thundering, then it is raining. e. If it is thundering, then it is not raining. Geometry Unit 6 Review Assignment 23. t 1 2 3 4 m 5 n 6 7 8 Choose the reason the statement “If the m<1 = 85º Then m<5 = 85º” is true. a. Alternate Interior Angles Theorem b.Alternate Exterior Angles Theorem c. Consecutive Interior Angles Theorem d. Vertical Angles Theorem e. Corresponding Angles Postulate 24. V X Y Z W Use the diagram above. Which congruence is correct to prove YZV YWX. VY XY by SAS Congruence Postulate b. VZ XW by SAS Congruence Postulate c. VZ XW by SSA Congruence Postulate a. d. A or B e. B or C 25. A triangle has two sides that have lengths of 8 cm and 14 cm. Which length below could not represent the length of the third side? a. 7 cm b. 13 cm c. 18 cm d. 22 cm e. 15 cm Page 3 of 4 © Mastery Mathematics Revised Summer 08 Geometry Unit 6 Review Assignment Unit Review Answers 14. Revised Summer 08 y ANSWERS: 1a. 1b. 2. 3. 4. 5. 6. 7. 8. 9. 10. never False, a square has parallel opposite sides. square trapezoid parallelograms, rhombuses, rectangles and squares. correct drawing is a square A. m1 110, m2 70 B. m1 = 65, m2 = 65 x = 60 AB = BC = CD = DA = 6 PS = 5; QR = 3; PQ = SR = 1 A. x = 7.5, y = 3 B. x = 5, y = 2.5 11. x 15. x 16. y 17. x 12. 13. y answers can vary, but it needs to be a non-isosceles triangle 18. J 19. 20. rotational symmetry (180˚) reflectional symmetry HOOD 21. 22. 23. 24. 25. Page 4 of 4 © Mastery Mathematics b. 28 º a. If it is thundering, then it is raining. c. Consecutive Interior Angles Theorem a. VY XY by SAS Congruence Postulate d. 22 cm