Chapter 3 Parallel and Perpendicular Lines Grade: 9
... Students will be able to classify angle pairs formed by three intersect lines and angles, use and study parallel and transversal lines, use angle relationship to prove lines that are parallel, use slope of lines relationship to determine if lines are parallel or perpendicular and write and graph equ ...
... Students will be able to classify angle pairs formed by three intersect lines and angles, use and study parallel and transversal lines, use angle relationship to prove lines that are parallel, use slope of lines relationship to determine if lines are parallel or perpendicular and write and graph equ ...
Notes 3.6 Prove Theorems About Perpendicular Lines
... a) If two lines intersect to form a linear pair of congruent angles then, the lines are perpendicular. b) If two lines are perpendicular, then they intersect to form four right angles c) If two sides of two adjacent acute angles are perpendicular, then the angles are complementary d) If a transversa ...
... a) If two lines intersect to form a linear pair of congruent angles then, the lines are perpendicular. b) If two lines are perpendicular, then they intersect to form four right angles c) If two sides of two adjacent acute angles are perpendicular, then the angles are complementary d) If a transversa ...
Chapter 3 Review Solutions - Anoka
... 30.Find the slope of the line that passes through (-1,3) and (-7,4) and find the slope of the line that passes through (2 , 7) and (4 , 19). Are the lines parallel, perpendicular or neither? ...
... 30.Find the slope of the line that passes through (-1,3) and (-7,4) and find the slope of the line that passes through (2 , 7) and (4 , 19). Are the lines parallel, perpendicular or neither? ...
3.1 Identify Pairs of Lines and Angles
... Ø Parallel lines-‐ Two lines are parallel lines if they do not __________________________ and are coplanar. Ø Skew lines-‐ Two lines are skew lines if they do not intersect and are ________________ coplana ...
... Ø Parallel lines-‐ Two lines are parallel lines if they do not __________________________ and are coplanar. Ø Skew lines-‐ Two lines are skew lines if they do not intersect and are ________________ coplana ...
Contour line
A contour line (also isoline, isopleth, or isarithm) of a function of two variables is a curve along which the function has a constant value. It is a cross-section of the three-dimensional graph of the function f(x, y) parallel to the x, y plane. In cartography, a contour line (often just called a ""contour"") joins points of equal elevation (height) above a given level, such as mean sea level. A contour map is a map illustrated with contour lines, for example a topographic map, which thus shows valleys and hills, and the steepness of slopes. The contour interval of a contour map is the difference in elevation between successive contour lines.More generally, a contour line for a function of two variables is a curve connecting points where the function has the same particular value. The gradient of the function is always perpendicular to the contour lines. When the lines are close together the magnitude of the gradient is large: the variation is steep. A level set is a generalization of a contour line for functions of any number of variables.Contour lines are curved, straight or a mixture of both lines on a map describing the intersection of a real or hypothetical surface with one or more horizontal planes. The configuration of these contours allows map readers to infer relative gradient of a parameter and estimate that parameter at specific places. Contour lines may be either traced on a visible three-dimensional model of the surface, as when a photogrammetrist viewing a stereo-model plots elevation contours, or interpolated from estimated surface elevations, as when a computer program threads contours through a network of observation points of area centroids. In the latter case, the method of interpolation affects the reliability of individual isolines and their portrayal of slope, pits and peaks.