2014 Geometry Summer Reading Assignment

Transcription

1 Name 2014 Geometry Summer Reading Assignment Date Prior to the first day of Geometry class, you must complete all questions contained in this packet. Geometry is a high school requirement and information found throughout these problems will help prepare you for the course as well as the Preliminary Scholastic Aptitude Test (PSAT). You may use textbooks, internet websites, and various other resources to assist you in answering questions. This Summer Reading Assignment will be collected on the first day of class and will count as a 21st century homework grade. The Arundel High School Geometry Teachers look forward to working with you and wish you a wonderful summer!

2 Part 1: Vocabulary in Geometry Directions: Research the following terms. Write a clear and accurate definition and then provide an example or draw a diagram or picture (can be a real-life example from clip art, magazine cut-outs, etc.). Word Definition Picture/Diagram/Example Point Line Plane Line Segment Ray

3 Word Definition Picture/Diagram/Example Vertex Collinear Coplanar Congruent Bisect Midpoint Vertical s

4 Word Definition Picture/Diagram/Example Complementary s Supplementary s Linear Pair Parallel Perpendicular

5 Part 2: Types of s Thinking Map Directions: Create a tree map that describes various angle types and their properties. Use the template below as a guide but you must make your own map with as many angle types as you like. Categorize the angle types any way you like and include diagrams, properties, or characteristics about each type. Use a separate sheet of paper if necessary. Feel free to use the following websites as references: Sample Format: Types of s Type of #1 Type of #2 Type of #3 Fact A Fact B Fact C Fact A Fact B Fact C Fact A Fact B Fact C Keep in mind that there may be more than 3 types of angles you choose to use. facts could include definitions, properties, examples or diagrams.

6 Part 3: Math Skills Review Math Skills I Need to Know for Geometry Part A: NO CALCULATOR Multiply Integers a) 3 (-2) b) 5 12 c) (-4) (-5) Adding Fractions Add and subtract Integers a) 3 + (-2) b) 5-12 c) (-4) - (-5) Subtracting Fractions a) a) b) b) c) c) Simplifying Fractions a) Converting Fractions, Decimals and Percents a) Convert to a fraction and percent: 0.35 b) b) Convert to a decimal and percent: c) c) Convert to a fraction and decimal: 82% Multiply Fractions Divide Fractions a) b) a) b) c) d) c) d)

7 Math Skills I Need to Know for Geometry Part B: CALCULATOR ALLOWED Ratio and Proportion a) b) Solving Linear Equations a) 8x 2 = x c) In a survey, 13 out of 20 students said that they planned on going to the movies this weekend. If there are 1950 students in the school, how many would you expect to be going to the movies this weekend? b) 12 = -4(-6x 3) c) 5n + 34 = -2(1 7n) Simplifying Radicals (Your answer should not be a decimal. It should be a whole number or radical form) a) b) Midpoint formula: Use the formula below to find the midpoint of each set of points. a) (1, 7) and (5, 1) ) c) b) (-4, 6) and (8, -2) d) c) (-7, -2) and (3, -8) Distance formula: Use the formula below to find the distance between each set of points. Distribution Property (FOIL) a) (x + 3)(2x + 5) a) (1, 7) and (4, 2) b) (x 7)(x + 7) b) (-2, -5) and (3, 7) c) (4x 5)(3x 2)

8 Factoring Quadratics: a) Solving Quadratics: Solve for x using a method of your choice. a) b) b) c) c)

9 Part 4: PSAT Practice 1. Which of the following letters represents the vertex in the following picture? A. D and E B. E and H C. F and G D. G only E. H only 2. If a circle has the diameter of 8, what is the circumference? A B C D E What is the area of the triangle below? A. 22 cm 2 B. 33 cm 2 C. 44 cm 2 D. 50 cm 2 E. 66 cm 2 4. What is the measure of the solid line angle depicted by the following figure? A. 90 degrees B. 180 degrees C. 225 degrees D. 270 degrees

10 5. What is the measure of angle B in the following figure if angle A measures 135? A. 40 B. 45 C. 50 D The diagram shows the outline of a racetrack for skaters, which consists of two long straight sections and two semi-circular turns. Given the dimensions shown, which of the following most closely measures the perimeter of the entire track? A. 180 yards B. 360 yards C. 395 yards D. 425 yards 7. Which of the following points is not on the graph of y = 2x + 3? A. (0,3) B. (1,5) C. (2,7) D. (-2,7) E. (-1,1) 8. Lines AC and BD intersect at point E. BEC is What is the measure of angle AEB? A. AEB is 90 0 B. AEB is C. AEB is D. AEB is E. AEB is 360 0

11 9. Which of the following are complementary angles? A and 19 0 B and 180 C and 90 0 D and Which of the following letters has a vertical line of symmetry? A. A B. B C. C D. D E. E