Geometry Name: Chapter 2 Review WS Period: Date:. A transversal intersects two parallel lines. The measures of a pair of alternate interior angles are 5v and 2w. The measures of a pair of same-side exterior angles are 0w and 5v. What are the values of w and v? 2. Find the measure of angles 4 and 6-8, using the following diagram. 3. Three parallelograms are hinged at each vertex to create an arm that can extend and collapse for an exploratory spaceship robot. What is measure of angle? Explain how you found the answer. 4. Find the measure of angles -7 given that lines m and n are parallel and t is transversal.
5. Solve for x. 6. Use the following figure, given that s is parallel to t. a. What is the name of angles a and e? b. What is the name of angles f and c? c. What is the name of angles c and b? d. What is the name of angles c and d? 7. Use the diagram below. Lines m and n are parallel. a. Are angles a and g supplementary or congruent? b. Are angles c and f supplementary or congruent? c. Are angles b and g supplementary or congruent? 8. Find x and y.
9. With the given information, can it be determined that m is parallel to n? If yes, what theorem did you use? 0. In the given figure, which lines are parallel? Justify your answer with a theorem.. Given, m m 2 80, is m parallel to n? If so, what theorem did you use. 2. Find the value of x for which m is parallel to n. 3. Two workers paint lines for angled parking spaces. One worker paints a line so that m 62. The other worker paints a line so that m 2 62. Are the lines parallel? Justify your answer. 4. Two workers paint lines for angled parking spaces. One worker paints a line so that m 6. The other worker paints a line so that m 2 6. Are the lines parallel? Justify your answer.
5. Lines l and l 2 are parallel. Find the measures of angles -2. 6. If m m 7, what theorem can you use to show that m is parallel to n? If m 3 m 9, what theorem can you use to show that j is parallel to k? 7. Lines M and N are parallel. Find the value of x. 8. On a math test students are given a right triangle. One of the acute angles has a measure of 42. One student says that the measure of the other acute angle is 38. What is the measure of the other acute angle? What error might the student have made? 9. Find the measure of angle. m 4 23, m 2 x, m 2 x 42.
20. Find x. 2. Find the measure of angle and 2. 2. Find the measure of angle. 23. Find the measure of angle. 24. Find the measure of angle and 2. 25. Find the values of x, y and z.
26. Find the measures of angles, 2 and 3. 27. Lines k and n intersect on the y axis. a. What is the equation of line n in slope-intercept form? b. What is the equation of line m in slope intercept form? 28. Are lines L and L2 parallel? 29. Are lines L and L 2 perpendicular? 30. Write an equation for the line parallel to y 2x, through (,5).
3. A line passes through the points (-5,-5) and (,25). A second line passes through the points (-3,-26) and (3,4). Are the lines parallel? 32. What is the slope and y intercept of y 3x 9? 33. Are lines q and v parallel? 34. Are lines q and s perpendicular? Use this diagram for both 35 and 36. k 2 0 3 l 9 8 7 6 5 4 j 35. Given: k is parallel to l 36. Given: m 2 m 3 70 ; m 6 0 Prove: m 2 m 5 m Prove: k l Statements Reasons Statements Reasons m 3 m 5 m 70 m 2 m 5 m 9 Linear Pair Theorem m 2 m 5 m Corresponding Angles Theorem k l Substitution