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Additional resources for 501 geometry questions
51 Team-LRN 501 Geometry Questions 101. e. Unlike the question above, where every complementary angle must also be acute, supplementary angles can be acute, right, or obtuse. If an angle is obtuse, its supplement is acute. If an angle is right, its supplement is also right. Two obtuse angles can never be a supplementary pair, and two acute angles can never be a supplementary pair. Without more information, this question cannot be determined. 102. e. Complementary angles that are also congruent measure 45° each.
Lines are straight; they cannot backtrack or bend (if they could bend, they would be a curve, not a line). Consequently, when two lines intersect, they can share only one point. 54. a. When intersecting lines create right angles, they are perpen- dicular. 55. b. An inﬁnite number of lines can pass through any given point in space—only one line can pass through a point and be perpendicular to an existing line. In this case, that point is on the line; however, this rule also applies to points that are not on the line.
34 Team-LRN 501 Geometry Questions 72. True. A pair of supplementary angles must measure 180°. If the pair is also congruent, they must measure 90° each. An angle that measures 90° is a right angle. 73. True. When two lines intersect, they create four angles. The two angles opposite each other are congruent. Adjacent angles are supplementary. If vertical angles are acute, angles adjacent to them must be obtuse in order to measure 180°. 74. False. Vertical angles cannot be equal to or more than 180°; otherwise, they could not form supplementary angle pairs with their adjacent angle.