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Name:_________________ Due: May 2,2016 Spring Break Assignment- please be neat and organized. If you need to do your work in a separate piece of paper please do so and label EVERYTHING! PACKET BREAKDOWN: Part 1(10%): Date: _________ _____/ 5 Part 2(10%): Date: _________ _____/ 15 Quiz (50%): Date: __________ _____/ 20 I-READY BREAKDOWN: (15%): Lesson Name: ___________________________________ (If necessary, highest grade is taken) Quiz Grade: ______/100 RETAKE? ______/100 Parent Signature: ___________________ Name _________________________________________________________ PART 1 7.1 Enrichment and Extension Compass Straightedge Construction In addition to modern technology, a geometer’s most important tools are a compass and a straightedge (ruler without marks). These instruments can be used for geometric drawings called constructions. Bisecting the Angle Bisecting the angle is the process of cutting a given angle in half so that both halves are equal. This can be done using only a compass and straightedge. 1. Classify angle A. 2. Open the compass. Place the point of the compass at A and draw an arc (a small curved line that is part of a circle) that intersects both sides of the angle. Label the points where the curved line intersects the angle as B and C. 3. Place the point of the compass on B. Draw an arc that is contained within the angle. Without changing the width of the compass, place the point of the compass on C and draw an arc that intersects the one just drawn. 4. Label the intersection point of the two arcs G. Use a straightedge to connect points A and G. The line segment AG bisects angle BAC. 5. Use a protractor to measure angle BAC. Divide this measure by two to determine what each smaller angle should measure. Then, use your protractor and measure the smaller angles. How do the numbers compare? Name_________________________________________________________ 7.2 Enrichment and Extension Finding Missing Angles Use properties of shapes and angles to find the missing measures. PART 2 Name _________________________________________________________ EXTRA CREDIT 7.2 Puzzle Time What Is The Best Year For Grasshoppers? Write the letter of each answer in the box containing the exercise number. Tell whether the angles are complementary, supplementary, or neither. 1. 2. Find the value of x. 3. 5. 4. 7. 6. 7. The crosswalk in front of a school intersects the sidewalk at an angle of 99. Find the value of x. Name_________________________________________________________ Chapter 7 QUIZ Quiz For use after Section 7.3 Name two pairs of adjacent angles and two pairs of vertical angles in the figure. 1. 2. Tell whether the angles are adjacent or vertical. Then find the value of x. 3. 4. 5. Tell whether the angles are complementary, supplementary, or neither. 6. 7. 8. Draw a pair of adjacent complementary angles so that one angle has the given measure. 9. 30 12. 10. 45 11. 75 The measures of two supplementary angles have a ratio of 5 : 4. What is the measure of the larger angle?