Geometry eday #2 Assignment

Transcription

1 Name Date Score Quadrilaterals Geometry eday #2 Assignment 1. If the diagonals of a quadrilateral are perpendicular bisectors of equal length, then the quadrilateral is a. (Give the strongest condition.) A. square B. trapezoid C. rectangle D. parallelogram Pythagorean Theorem 2. *Note: Figure not drawn to scale. A. 5 cm B. 4.5 cm C. 9 cm D. 6 cm Similar Figures 3.

2 *Note: Figures not drawn to scale. In trapezoid MNPQ, MN = 8.2 in, NP = 5 in, PQ = 15.7 in, and QM = 5 in. If trapezoid UVWX is similar to trapezoid MNPQ, which side lengths could be the side lengths of trapezoid UVWX? UV = 8.2 in, VW = 20 in, A. WX = 15.7 in, XU = 20 in B. C. D. UV = 32.8 in, VW = 20 in, WX = 62.8 in, XU = 20 in UV = 32.8 in, VW = 5 in, WX = 62.8 in, XU = 5 in UV = 12.2 in, VW = 9 in, WX = 19.7 in, XU = 9 in Surface Area & Volume 4. If the radius of the sphere is 17 cm, what is the approximate surface area of the sphere? A. 3, cm 2 B cm 2 C. 61, cm 2 D. 1, cm 2 Surface Area of a Sphere = 4 r 2 Coordinate Geometry

3 5. The vertices of a quadrilateral are listed below. E(4,2), F(9,-1), G(4,-4), H(-1,-1) Which of the following is the strongest classification that identifies this quadrilateral? A. The quadrilateral is a rhombus. B. The quadrilateral is a square. C. The quadrilateral is a rectangle. D. The quadrilateral is a trapezoid. Logical Reasoning 6. For quadrilateral WXYZ, the following statements are given. WX YZ WZ XY YZW is a right angle Which statement must be true? A. WXYZ is a rhombus. B. WXYZ is a rectangle. C. WXYZ is a parallelogram. D. WXYZ is a trapezoid. Logical Reasoning 7. If a figure is a polygon, it must be convex. Which of the following is a counterexample to this assertion? W. X.

4 Y. Z. A. Z B. W C. Y D. X Distance, Slope, & Midpoint 8. Peter has a flat screen TV but doesn't know the size of the screen, which is the diagonal length of the screen. Peter makes a grid with 1 inch 1 inch squares and places the left bottom corner of the TV at the origin of the grid (0, 0). The left bottom corner of the screen L is located at (3, 5) on the grid and the right top corner of the screen R is located at (27, 23) on the grid. What size TV does Peter have? A. 30 inch B. 42 inch C. 58 inch D. 21 inch Pythagorean Theorem 9. If Z = 15 cm and X = 17 cm, what is the length of Y? A. B. C.

5 D. Quadrilaterals 10. What quadrilateral will have diagonals of equal length, but will have no right angles? A. rhombus B. rectangle C. isosceles trapezoid D. parallelogram Triangles 11. If m J = 54 and m K = 120, what is m G? A. 66 B. 39 C. 86 D. 114 Note: Figure not drawn to scale. Logical Reasoning 12. If two rectangles have equal area, then they are congruent. Which of the following is a counterexample to this assertion? A.

6 B. C. D. Coordinate Geometry 13. The vertices of a triangle are listed below. W(5,7), X(2,-4), Y(-1,-2) Which of the following correctly classifies the triangle? A. The triangle is an acute equilateral triangle. B. The triangle is a right isosceles triangle. C. The triangle is a right scalene triangle. D. The triangle is an obtuse isosceles triangle. Triangles 14. In triangle XYZ, line segment XY is congruent to line segment YZ. If line segment XY equals 9 mm, which of the following is true about the possible lengths of line segment XZ? A. line segment XZ < 9 mm B. line segment XZ < 18 mm C. line segment XZ > 18 mm D. line segment XZ > 9 mm Geometric Transformations of Polygons

7 15. What is the rule for the transformation shown above? A. (x', y') = (y, -x) B. (x', y') = (y, x) C. (x', y') = (-y, x) D. (x', y') = (-x, -y) Distance, Slope, & Midpoint 16. A. B. C. D. Similar Figures 17. A statue at the zoo casts a shadow of 5 feet. On the other side of the zoo, an 8-foot elephant casts a 17-foot shadow. How tall is the statue?

8 A. B. C. D. Angles & Lines 18. P, Q, and S are collinear and the measure of PQR = 108. What does the measure of PQT have to equal to ensure that R, Q, and T are collinear? A. 60 B. 30 C. 72 D Geometric Transformations of Polygons 19.

9 What is the rule for the transformation shown above? A. (x', y') = (x + 1, y - 2) B. (x', y') = (x + 3, y - 7) C. (x', y') = (x - 3, y + 7) D. (x', y') = (x - 1, y + 2) Angles & Lines 20. picture not drawn to scale Lines f and g are parallel lines cut by the transversal d. If the measure of measure of 6? A. 42 B. 32 C. 148 D is 138, what is the Coordinate System

10 21. Point R represents which of the following ordered pairs? A. (-7,-8) B. (8,7) C. (-8,-7) D. (7,8) Trigonometry 22. If = 38 and z = 68 cm, what is the value of x to the nearest tenth of a centimeter? A cm B cm C cm D cm Trigonometry 23.

11 Note: Picture is not drawn to scale. If X = 9 inches, Y = 12 inches, and Z = 15 inches, what is the tangent of A? A. B. C. D. Similar and Congruent Triangles 24. With the information given on the triangles below, determine how triangle QRS and triangle QTU can be shown to be similar. A. The triangles are similar by SAS. B. The triangles are similar by AA. C. The triangles are similar by SSS.

12 D. The triangles are not similar to each other. Coordinate System 25. Which of the following points corresponds to the ordered pair (-2,-5)? A. K B. O C. Q D. P Perimeter & Area 26.

13 If the larger circle has a circumference of 48 inches, what is the circumference of the smaller circle? A. 12 inches B. 24 inches C. 6 inches D. 16 inches Surface Area & Volume 27. If r = 4 ft and h = 2 ft, what is the approximate surface area of the cylinder? (Use 3.14 for pi.) A ft 2 B ft 2 C ft 2 D ft 2 Perimeter & Area 28. Malorie wants to place a fence around her vegetable garden. The garden is in the shape of an isosceles trapezoid. The garden and its dimensions is pictured below. 12 ft 6 ft

14 28 ft What is the length of fence she will need to surround her vegetable garden? A. 46 feet B. 60 feet C. 52 feet D. 56 feet Geometric Transformations of Polygons 29. What is the rule for a reflection across the y-axis? A. (x', y') = (-x, y) B. (x', y') = (x, -y) C. (x', y') = (y, x) D. (x', y') = (-x, -y) Similar and Congruent Triangles 30. With the information given below, determine how triangle ACD can be shown to be similar to triangle ABE. E is the midpoint of AD and B is the midpoint of AC. Picture not drawn to scale. A. The triangles are similar by SAS. B. The triangles are similar by SSS. C. The triangles are not similar to each other. D. The triangles are similar by AA.