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Chapter 1 Worksheets Word Sort Directions: The words on the separate sheet provided are examples of points, lines, or planes. Cut, sort, and paste the words in the three columns below. None of the cut-outs are used more than once. Please check your answers with your partner BEFORE you paste your answers. Points Lines Planes 1 1-1 Points, Lines, and Planes A _____________ is simply a location that has no dimension. A _________is made up of points. It has no thickness or width and stretches in one dimension. A plane is a flat surface that is made up of points. It stretches without bound in two dimensions. Points that lie on the same line are called __________________ points. Similarly, points that do not lie on the same line are called ________________ points. Points that lie on the same plane are called __________________ points. Similarly, points that do not lie on the same plane are called ________________ points. Points, lines, and planes are called ________________terms. This means that they can only be explained using examples and descriptions. In the picture to the right, circle a point in RED. What is the name of the point? Circle a line in BLUE. What is the name of the line? Circle a plane in GREEN. What is the name of the plane? Circle the intersection of lines l and m in PURPLE. What is its name? Circle a point that is not collinear with points A, B, and C in ORANGE. Draw and name a point that is noncoplanar with plane P in PINK. 2 Practice 3 More Practice 4 1-1 Listen Up 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 5 1-2 Linear Measure 6 Practice 7 More Practice 8 1-3 Distance and Midpoint 9 Practice 10 More Practice Plot the following points on the graph below. Make sure to label and connect them as you go. Point A Point B Point C Point D Point E Point F Point G Point H Point I Point J Next, find the midpoint of the following segments. Write the points down before you start, or you will have to rework the problem. The first one is done for you as an example. 1. AE A(-2,-1) E(2,4) 2. CG 3. HI AE=_________ 4. BF CG=_________ 5. DJ BF=_________ HI=_________ 6. HC DJ=_________ HC=_________ 11 Now, find the length (distance) of the following segments. Write the points down before you start and then label them with x1 , y1 , x2 and y2, or you will have to re-work the problem. The first one is done for you as an example. 1. AE x1 y1 x2 y2 2. CG 3. HI A(-2 , -1) E(2 , 4) AE=_________ 4. BF 5. DJ BF=_________ HI=_________ CG=_________ 6. HC DJ=_________ HC=_________ 12 1-4 Vocab Crossword Across 4. Angles that have the same measure 6. A unit of measurement used to measure angles 9. An angle that measures exactly 90 degrees 11. Also classified as a straight angle Down 1. Points on the outside of an angle 2. Formed by two non-collinear rays. It has a degree measure. 3. Points on the inside of an angle 5. The common endpoint of an angle 7. A part of a line. It has one endpoint and extends infinitely in one direction. 8. An angle that measures less than 90 degrees 10. If an angle is bisected, how many parts is it split into? 12. An angle that measures greater than 90 degrees 13. An angle that measures 180 degrees 13 What’s In a Name? 1. Print your name in large block letters on the paper. 2. Find and label all of the different types of angles, shapes and other geometric figures that are in your name. a. b. c. d. e. f. Label all right angles with a red dot. Label all acute angles with a blue dot. Label all obtuse angles with a green dot. Label all vertical angles with a yellow Xs. Label all adjacent angles with a purple Xs. Label all supplementary angles with pink stars. 3. When you are finished labeling, write everything that you know about the geometry found in your name on the back of this sheet. Provide definitions for full credit. 14 15 1-4 Angle Measure 16 Practice 17 More Practice 18 1-5 Angle Relationships 19 Practice 20 More Practice 21 1-5 Listen Up 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 22 1-6 Polygons 23 Where Has Poly-gon? Can you find a triangle in the picture below? A quadrilateral? A hexagon? Can you find any other polygons in the picture? Pompeii, Italy Write Away… Write a short letter to a friend that was absent from school today. You are to tell your friend the how to tell how many sides a polygon has (by prefixes) and you must tell them how to determine between convex and concave polygons, and regular and irregular polygons. _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ 24 _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ 25 Practice 26 More Practice 27 ABC Book: Chapter 1 Come up with words from every letter of the alphabet that pertain to your knowledge of the contents of Chapter 1. Each word MUST be either a vocabulary word we have used (i.e. Vertical angles for V) or objects that “look like” words that we have studied (i.e. Stop sign for S). After you have determined all 26 words, you must complete an ABC book. IMPORTANT: Each letter of the alphabet must be illustrated as you see below: S- Stop Sign A stop sign is an octagon. An octagon is a polygon with 8 sides. **The words complementary, supplementary, vertical angles, distance, midpoint, and bisector must be used. You must show a definition and an example problem completely worked out for each of these.** A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 28