3-1 Practice Use the figure at the right to answer questions 1-3. 1 3-1 More Practice Use the figure at the right to answer questions 4-12 Map Quest 1 2 Map Quest 1 Using the paper provided, writing/coloring utensils, and drawing directions, you are to create a map of Parallel City. Directions: 1. Start by naming your map Parallel City. 2. You are to draw 2 roads that are parallel and a transversal that goes through them. Please refer to your 3-1 notes if you need help. 3. You have 8 total street corners. Place the following locations at one street corner. As always, please use color! (Insert students complaining here. ī) Your house Wal-Mart Bank Post Office Church Hospital McDonald’s Park 4. Next, on the back of this sheet, use the vocab words provided to tell me about the locations of your building. You must use all of the words at least twice! That means that you will have a total of 12 sentences. For example: The bank and the post office are alternate interior angles. 3 Vocab Words to Use Alternate Interior Consecutive Interior Alternate Exterior Supplementary Vertical Corresponding Write your 12 sentences below: 1. _______________________ and ________________________ are ______________________ angles. 2. _______________________ and ________________________ are ______________________ angles. 3. _______________________ and ________________________ are ______________________ angles. 4. _______________________ and ________________________ are ______________________ angles. 5. _______________________ and ________________________ are ______________________ angles. 6. _______________________ and ________________________ are ______________________ angles. 7. _______________________ and ________________________ are ______________________ angles. 8. _______________________ and ________________________ are ______________________ angles. 9. _______________________ and ________________________ are ______________________ angles. 10. _______________________ and ________________________ are ______________________ angles. 11. _______________________ and ________________________ are ______________________ angles. 12. _______________________ and ________________________ are ______________________ angles. 4 Map Quest 2 Using the paper provided, writing/coloring utensils, and drawing directions, you are to create a map of Parallel City. Directions: 1. Draw the buildings on the appropriate corners on the Parallel City sheet provided (you may want to practice FIRST!). Make it neat, label it, and be creative. 2. On the back there are 6 columns: ones for alternate interior, alternate exterior, consecutive interior, corresponding, supplementary, and vertical angles. List all the angle pairs by listing the names of the buildings. Construction: 1) The Bank and Wal-Mart are alternate interior angles. 2) Sheetz and the Post Office are vertical angles. 3) Your house and the Post Office are same side interior angles. 4) Your house and the Park are alternate interior angles. 5) Sheetz and the Hospital are a pair of supplementary angles. 6) The Church and the Hospital are alternate exterior angles. 7) Burger King and the Post Office are corresponding angles. 5 Color Me Parallel Use colored pencils to follow the directions below, then fill in the blanks at the bottom of the sheet. a. b. c. d. e. f. g. Draw 2 parallel lines in red. Label the lines b and a. Draw a transversal in orange through the parallel lines. Label the transversal d. Label the angles formed 1 through 8 in yellow. Label ONE pair of alternate interior angles with green dots(•). Label ONE pair of consecutive interior angles with blue dots(•). Label ONE pair of alternate exterior angles with purple dots(•). Label ONE pair of corresponding angles with pink dots(•). Draw illustration below: When parallel lines are cut by a transversal… Any two ___________ angles are congruent to one another. Any two ___________ angles are congruent to one another. If you have one ___________ and one ___________ angle, they are supplementary (add up to 180). 6 Parallel Lines with More Than One Transversal 7 8 Tic Tac Math Directions: This activity is based off the game of Tic Tac Toe. However, in order for you to put an X or O on the grid, you must first CORRECTLY answer a math problem. Lines p and q are parallel, while lines t and r are transversals. What is the angle that is alternate exterior to angle 16? What is the angle that is corresponding to angle 13? What is the angle that is consecutive interior to angle 10? What is the angle that is alternate interior to angle 9? What is the angle that is alternate exterior to angle 4? What is the angle that is corresponding to angle 4? What is the angle that is consecutive interior to angle 5? What is the angle that is vertical to angle 14? What is the angle that is alternate interior to angle 5? 9 Tic Tac Math Directions: This activity is based off the game of Tic Tac Toe. However, in order for you to put an X or O on the grid, you must first CORRECTLY answer a math problem. Lines a and b are parallel, while lines d and e are transversals. What is the angle that is corresponding to angle 16? What is the angle that is vertical to angle 13? What is the angle that is consecutive interior to angle 10? What is the angle that is alternate exterior to angle 4? What is the angle that is corrsponding to angle 4? What is the angle that is alternate interior to angle 7? What is the angle that is consecutive interior to angle 11? What is the angle that is alternate interior to angle 11? What is the angle that is alternate exterior to angle 1? 10 3-2 Practice x = ________ , y = ________ x = ________ , y = ________ 11 3-2 More Practice x = ________ , y = ________ x = ________ , y = ________ x = ________ , y = ________ , z = ________ x = ________ , y = ________ , z = ________ 12 3-2 Even More Practice x = ________ , y = ________ x = ________ , y = ________ mī1 = ________ mī1 = ________ 13 3-3 Practice 14 3-3 More Practice 15 3-5 Practice x = ________ x = ________ x = ________ x = ________ x = ________ x = ________ x = ________ x = ________ x = ________ 16 3-5 More Practice x = ________ x = ________ x = ________ 17 Proving Lines Parallel 18 19 20 21 22