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Transcript

Unit 6 review 1. Define and draw the following terms a) Parallel lines b) Perpendicular lines c) Supplementary angle d) Straight angle e) Vertically opposite angles f) Complementary angles g) Adjacent angles h) Right Angle 2. Explain two methods to determine whether two lines drawn on a piece of paper meet at 90° 3) Use this diagram to answer the following questions: a. List all the pairs of angles that are adjacent. b. List all the pairs of angles that are supplementary. c. List all the pairs of angles that are vertically opposite. d. What angle is the same size as a? e. What angle is the same size as d? f. What would be the sum of a and d? 4. Match the term with the description by placing the number of the correct description in the blank before the term. The first one is done for you. Description that matches 7 Term Description A. Alternate interior angles A line that can cut through two parallel lines. 2. A pair of angles on the same side of the transversal and on the inside of the parallel lines. 3. A line crossing another and creating angles that are opposite from each other. 4. A pair of angles on the same side of the transversal but on the outside of the parallel lines. 5. pair of angles on the same side of the transversal and on the same sides of the parallel lines. 6. A pair of angles on opposite sides of the transversal and on the outsides of the parallel lines. 7. A pair of angles on opposite sides of the transversal and on the insides of the parallel lines . B. Corresponding angles C. Interior angles D. Transversal E. Vertically opposite angles F. Alternate exterior angles G. Exterior angles 5. a) The orange line is called a ___? b) The blue line is called a ___? Use the following diagram to answer question 6. 6. The diagram shows a transversal cutting through two parallel lines. a) List all the angles that are equal in size to the A angle. b) List all the angles that are supplementary with the A angle. c) What would Angle A+ Angle B+ Angle C + Angle D add to in total? d) Name a pair of vertically opposite angles. Name a pair of alternate exterior angles. e) Name a pair of corresponding angles. f) What is the sum of Angle A + Angle G? How do you know the sum although you were not given the angle measures in this diagram? g) What is the pair of angles Angle A and Angle G be called? 7. Give an example of an object in real life that has the following angles found within it 50 degrees 90 Degrees 120 Degrees 200 Degrees 8. Estimate the following Angles 9. What is the measure of the following angle? 10. . 11. An irrigation pivot rotates 25° every hour. a. How far will it rotate in 2 ½ hours? b. How far will it rotate in half an hour? 12. Use a protractor to construct the following angles. a. 63° b. 146° c. 260° 13. M and N are complementary. If you were to bisect the angle made by adding M and N, what would the bisected angle measure be? 14. 15. Corresponding sides occupy the same positions on two similar shapes. a. How many triangles are in the diagram? b. Are the triangles in the diagram similar? Explain. c. Classify or name the triangles. d. Give the base of each triangle. e. Set up a ratio and equation and find the value of x. 16. Draw the following types of Triangles a) Scalene b) Isosceles c) Right d) Acute