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Geometry Chapter 3 BIG Quiz 3.1 – 3.5 Section: 5 points each Basic: 1 Correct: 3 points Proficient: 2 Correct: 4 points Advanced: 3 Correct: 6 points Name____________________ Date ___________ Period ___ MUST SHOW ALL WORK FOR FULL CREDIT! Section 1: Properties of Parallel Lines – Use the figure below to classify each of the following pairs of angles as either alternate-interior angles, corresponding angles, same-side interior angles, or vertical angles: a) b) c) d) e) <11 and <15 <13 and <16 <1 and <13 <3 and <13 <5 and <7 ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ Section 2: Properties of Parallel Lines – B. Find the measure of <1 and <2. <1 =___________ <2= ___________ P. Find the value of x for which l ∕∕ m. x = ________ A. Find the value of x for which l ∕∕ m. x = ________ Section 3: Proving Lines Parallel – B. Find the value of x for which a // b. a b P. Using the figure below, if <3 and < 8 are supplementary, which lines can you conclude are parallel? Justify A. Using the figure in above, <1 and <9 are corresponding angles. If m<1 = 60 – 2x and m<9 = 70 – 4x, determine the value of x for which the lines l and m are parallel. Section 4: Parallel Lines and the Triangle Angle-Sum Theorem – B. Find the value of <1. <1 = _______ P. Find the measure of <2. <2 = _______ A. Find the value of x, y, and z. x = ________ y = ________ z = ________ Section 5: Parallel Lines and the Triangle Angle-Sum Theorem – B. Find the measure of <3 and <4. P. Classify the triangle below by its sides AND its angles. < 3 = ______ < 4 = ______ A. Find the value of x, y, and z. x = _______ y = _______ z = ________ Section 6: Polygon Angle-Sum Theorem – B. Find the missing angle measure. y = ________ P. What is the sum of the measures of the angles of an hexagon? A. The sum of the measures of the angles of a regular polygon is 1980. How many sides does the polygon have? Section 7: Polygon Angle-Sum Theorem – B. Classify the polygon and tell whether it is convex or concave. P. What is the sum of the measures of the exterior angles, one at each vertex, of a hexagon? 18. The measure of an exterior angle of a regular polygon is given. Find the measure of an interior angle, and find the number of sides. 30° Measure of interior angle ______ Number of sides ________ Section 8: Vocabulary – ____ Equilateral A. all angles congruent ____ Convex B. all sides congruent ____ Transversal C. a line that intersects 2 coplanar lines at 2 points ____ Regular Polygon D. all interior diagonals ____ Concave E. equilateral and equiangular ____ Equiangular F. diagonals outside of the figure