Angles and Parallel Lines - Coordinate Geometry Applications - Applications
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Q. If a transversal intersects two parallel lines and forms a pair of corresponding angles, what can be said about their measures?
Q. If a transversal intersects two parallel lines and forms an angle of 30 degrees, what is the measure of the corresponding angle on the other line?
Q. If the coordinates of points A and B are (2, 3) and (2, 7) respectively, what is the length of line segment AB?
Q. If two lines are parallel and one line has the equation y = 3x + 2, what is the equation of a line parallel to it that passes through the point (1, 4)?
Q. If two lines are parallel and the distance between them is 5 units, what is the distance between any two points on these lines?
Q. If two lines are parallel and the measure of one of the corresponding angles is 75 degrees, what is the measure of the other corresponding angle?
Q. If two lines are parallel and the measure of one of the interior angles is 50 degrees, what is the measure of the other interior angle on the same side of the transversal?
Q. If two lines are parallel and the slope of one line is -3, what is the slope of the other line?
Q. If two lines are parallel and the transversal creates an angle of 45 degrees with one of the lines, what is the measure of the corresponding angle on the other line?
Q. If two triangles are similar and the lengths of the sides of the first triangle are 3, 4, and 5, what are the lengths of the sides of the second triangle if the ratio is 2:1?
Q. In a coordinate plane, if line A has the equation y = 1/2x + 2 and line B is perpendicular to line A, what is the slope of line B?
Q. In a coordinate plane, if line L1 has the equation y = 2x + 3 and line L2 is parallel to L1, what is the slope of L2?
Q. In a coordinate plane, if the coordinates of two points are (2, 3) and (2, 7), what is the distance between these two points?
Q. In a triangle, if one angle measures 40 degrees and another measures 60 degrees, what is the measure of the third angle?
Q. In a triangle, if two angles are 50 degrees and 60 degrees, what is the measure of the third angle?
Q. In a triangle, if two angles measure 45 degrees each, what is the measure of the third angle?
Q. In a triangle, if two angles measure 50 degrees and 60 degrees, what is the measure of the third angle?
Q. What is the circumference of a circle with a radius of 7 units?
Q. What is the equation of a line parallel to y = -3x + 4 that passes through the point (2, 1)?
Q. What is the measure of angle A if lines AB and CD are parallel and angle B is 70 degrees?
Q. What is the measure of angle x if two parallel lines are cut by a transversal and angle x is an exterior angle that is supplementary to an interior angle measuring 120 degrees?
Q. What is the measure of angle x if two parallel lines are cut by a transversal and angle x is an exterior angle that is 40 degrees?
Q. What is the measure of the exterior angle of a triangle if the two remote interior angles measure 50 degrees and 60 degrees?
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