Section 5
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This document defines and describes different types of angle relationships: adjacent angles share a vertex and side; vertical angles are nonadjacent angles formed by two intersecting lines and are congruent; a linear pair are adjacent angles with noncommon opposite rays; complementary angles sum to 90 degrees; supplementary angles sum to 180 degrees; and perpendicular lines intersect to form four right angles and congruent adjacent angles.
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Geometry is the study of points, lines, angles, surfaces, and solids. It includes basic terms like points, which have no size; lines, which extend infinitely; and line segments, rays, planes, and angles. Geometry also covers measuring angles in degrees, types of angles like acute, obtuse, right and supplementary, and geometric shapes like polygons, cubes, cylinders, and spheres. Volume is measured by multiplying the length, width and height of an object, while surface area finds the total area of all faces.
lines and angles
This document defines and describes various geometric shapes and their properties. It defines line segments, rays, collinear points, and different types of angles such as acute, right, obtuse, straight, and reflex angles. It also defines complementary and supplementary angles. Additionally, it describes properties related to lines such as adjacent angles, linear pairs of angles, vertically opposite angles, corresponding angles formed by a transversal, alternate interior and exterior angles, parallel lines, intersecting lines, and perpendicular lines.
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linesandangles-111014002441-phpapp02-150823071910-lva1-app6892 (1).pptx
linesandangles-111014002441-phpapp02-150823071910-lva1-app6892 (1).pptx
Lines and angles class 9 ppt made by hardik kapoor
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Math 7 geometry 04 angles, parallel lines, and transversals - grade 7
Math 7 geometry 04 angles, parallel lines, and transversals - grade 7
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Section 2
This document discusses linear measurement and precision. It defines a line segment and explains that segments can be measured because they have endpoints. It discusses using both customary and metric rulers to measure and draw segments of different lengths. It also defines precision as the smallest unit available on a measuring tool and explains that measurements should be precise to within 0.5 units. An example is provided to find the precision of different measurements. The document notes that segments of the same measure are congruent and constructions can be used to create geometric figures without measurement tools.
Section 6
A polygon is a closed, two-dimensional shape formed by three or more straight line segments that connect end to end. Polygons can be classified as either convex or concave based on whether any interior points are contained within lines drawn along its sides. Common types of polygons include triangles, squares, rectangles, and circles, each with their own formulas to calculate perimeter, circumference, or area.
Section 4
This document defines and describes different types of angles. It explains that an angle is formed by two rays with a common endpoint, called the vertex. Angles are classified as right, acute, or obtuse depending on their measure. Congruent angles have the same exact measure.
Section 3
This document discusses finding the distance between two points and finding the midpoint of a segment. It defines distance as being the same regardless of the order of the endpoints and can be found using the Pythagorean theorem or distance formulas. The midpoint of a segment is found by taking the average of the x-coordinates and y-coordinates of the two endpoints. Examples are provided to find the distance between two points on a number line and to find the midpoint of a segment given the endpoints' coordinates.
Section 2
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Section 1
The document defines and provides examples of points, lines, and planes in geometry. It states that a point is a location, a line is made up of collinear points with no thickness or width, and a plane is a flat surface made up of coplanar points that extends infinitely in all directions. It also notes that coplanar points all lie in the same plane, while collinear points all lie on the same line.
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