22. Write the converse of the true statement and decide "A line contains at least two points." whether the converse is true or false. If the converse is true, combine it with the original 24. Sketch a diagram showing the following: Line is m statement to form a true biconditional statement. If perpendicular to segment at the midpoint of AB P, the converse is false, state a counterexample: segment AB. 23. Rewrite the postulate in if-then form. If an angle has a measure of 90°, then it is a right angle. 25. Name the property which justifies the following conclusion: Given: Conclusion: Identify the property that makes the statement true. 29. Give the reason for the last statement in the proof. 26. If = then = XY MN, MN XY. 30. form a linear pair. If , what is 27. If = and = then = mP mR mR mT, mP mT. 31. are supplementary angles. are vertical angles. . Find . 28. Solve for x. 32. Provide the reasons for statements 3 and 5 in the proof. Given: form a linear pair; Prove: 33. Two lines that are not coplanar and do not intersect are called _____________. a. Parallel c. perpendicular b. oblique d. skew lines 34. In the figure, and are _________. 35. In the figure, are __________. 37. In the figure below, if and are parallel lines, 36. In the figure, are _____________. l k what is the value of x and y? 38. Refer to the figure. Which theorem guarantees and l are parallel? m 39. Find the value of x:
22. Write the converse of the true statement and decide whether the converse is true or false. If the converse is true, combine it with the original statement to form a true biconditional statement. If the converse is false, state a counterexample: 23. Rewrite the postulate in if-then form. "A line contains at least two points." 24. Sketch a diagram showing the following: Line m is perpendicular to segment AB at P, the midpoint of segment AB. If an angle has a measure of 90°, then it is a right angle. 25. Name the property which justifies the following conclusion: Given: Conclusion: Identify the property that makes the statement true. 26. If XY = MN, then MN = XY. 27. If mP = mR and mR = mT, then mP = mT. 28. Solve for x. 29. Give the reason for the last statement in the proof. 30. form a linear pair. If , what is 31. are supplementary angles. are vertical angles. . Find . 32. Provide the reasons for statements 3 and 5 in the proof. Given: form a linear pair; Prove: 33. Two lines that are not coplanar and do not intersect are called _____________. a. Parallel c. perpendicular b. oblique d. skew lines 34. In the figure, and are _________. 35. In the figure, are __________. 36. In the figure, are _____________. 37. In the figure below, if l and k are parallel lines, what is the value of x and y? 38. Refer to the figure. Which theorem guarantees l and m are parallel? 39. Find the value of x: