Parallel and Perpendicular Lines Review
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1 Parallel and Perpendicular Lines Review Parallel and Skew Lines 1. In the following figure, identify the skew lines. (a) AB and FH (b) GH and DH (c) AB and CD 2. In the following figure, the area between lines a and b is best described as space between parallel lines. (a) Interior (b) Exterior (c) Slope (d) Intersect 3. The straight lines AB and CD are. (a) Parallel (b) Not parallel because the given two angles do not add to 180 degree (c) Are not parallel because the two given alternate angles are not equal 4. All angles formed when a transversal crosses parallel lines are equal. 1
2 Corresponding Angles 1. The figure formed by two rays with the same initial point is called a(n). (a) Angle (b) Triangle (c) Quadrilateral (d) Circle 2. In the figure, lines l and m are parallel. (a) Parallel (b) Not parallel (c) Perpendicular 3. In the figure, lines l and m are parallel. 4. Two angles are supplementary if the sum of the two angles is 90 degrees. Alternate Interior Angles 2 1. Find the measure of angle 1.
3 (a) 60 degrees (b) 120 degrees (c) 90 degrees (d) 100 degrees 2. When two parallel lines are cut by a transversal, two congruent pairs of vertical angles are formed. ( True/False ) 3. The angles formed by a transversal that are located inside two parallel lines are called alternate interior angles. 4. In the figure, angles 1 and 2 are a pair of alternate interior angles. Alternate Exterior Angles 1. The part consisting of all those points which lie outside an angle, is called the of the angle. (a) Exterior (b) Interior (c) Vertex 2. In Tin s town, lane P is parallel to lane Q. 3
4 3. When two lines intersect at a point, then vertically opposite angles are always equal. 4. The pair of angles on opposite sides of the transversal but outside the two lines are called alternate exterior angles. Same Side Interior Angles Find values of x and y. (a) 60 degrees, 120 degrees (b) 120 degrees, 60 degrees (c) 100 degrees, 60 degrees (d) 80 degrees, 140 degrees The same side interior angles formed when a transversal cuts two lines which may or may not be parallel are always congruent. 3. Line l is parallel to line m. 4. If the same side interior angles between two lines cut by a transversal measure 130 degrees and 67 degrees, the lines are parallel. Perpendicular Lines 4 1. If a line has a slope of 3, any line perpendicular to it will have a slope of.
5 (a) -1/3 (b) 3 (c) 1 (d) Perpendicular lines are also intersecting lines because they cross each other. 3. A rectangle has one pair of parallel sides. 4. Two lines are perpendicular to each other if the slopes of the lines are negative reciprocals of each other. ( True/False ) Slope in the Coordinate Plane 1. A positive slope rises from: (a) Right to left (b) Left to right (c) Both A, B 2. The slope is the ratio of the change in the y-values over the change in the x-values. 3. The slope of line y = [U+0088][U+0092]2x + 6 is The slope-intercept form is probably used most frequently to express the equation of a line. Parallel Lines in the Coordinate Plane 1. The center of the coordinate plane is called the. (a) Origin (b) x axis (c) y axis 2. Lines that never intersect in a coordinate plane are called. 5
6 (a) Parallel (b) Perpendicular (c) Transversal 3. The lines 3x + 4y = 7 and y = 3/4x + 1 are parallel, because their slopes are equal. 4. The slope of the line that passes through the points (0,6) and (5, 2) is (-4/5). Perpendicular Lines in the Coordinate Plane 1. If line A is perpendicular to line B, the angle between the two lines will be degrees. (a) 180 (b) 90 (c) 270 (d) Lines A and B are perpendicular to each other. If the slope of line A is 2, then the slope of line B is -1. ( True/False ) 3. The vertical line of the two perpendicular number lines in a coordinate plane is the x axis. 4. In a coordinate plane system, the origin is the point of intersection of the x-axis and y-axis. 6
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