Lines Plane A flat surface that has no thickness and extends forever.
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1 Lines Plane A flat surface that has no thickness and extends forever. Point an exact location Line a straight path that has no thickness and extends forever in opposite directions Ray Part of a line that has one endpoint and extends forever in one direction. Line Segment Part of a line that has two endpoints. Congruent figures that have the same shape or size. (Same length for line segments). Perpendicular lines Two lines that make a 90 angle when they intersect. Parallel Lines Lines that never intersect.
2 ANGLES Right Angle an angle that measures exactly 90 o. Acute Angle An angle that measures greater than 0 o but less than 90 degrees. Obtuse Angle An angle that measures greater than 90 o but less than 180 o. Straight Angle Angle that measures exactly Complementary angles The sum of two angles equals Supplementary Angles The sum of two angles equals Adjacent angles have a common vertex and a common side. Vertical angles opposite angles formed by two intersecting lines. Transversal a line that intersects two or more lines. Properties of Transversals to Parallel Lines 1. Corresponding angles are congruent
3 Polygons Polygon a closed plane figure formed by three or more line segments. Regular Polygon a polygon in which all sides and all angles are congruent. Triangle 3 sides, 3 angles Quadrilateral 4 sides, 4 angles Pentagon 5 sides, 5 angles Hexagon 6 sides, 6 angles Heptagon 7 sides, 7 angles Octagon 8 sides, 8 angles Nonagon 9 sides, 9 angles Decagon 10 sides, 10 angles
4 Triangles Scalene triangle no congruent sides. Isosceles triangle at least two congruent sides. Equilateral triangle all sides are congruent. Acute triangle all angles are acute Obtuse triangle has exactly one obtuse angle Right Triangles Right Triangle has exactly one right angle. Legs two sides the form the right angle in a right triangle Hypotenuse The side opposite the right angle in a right triangle. It is also the longest side. The Pythagorean Theorem A special relationship between the sides of a right triangle.
5 Areas of Polygons Area of a Triangle - Area of a Rectangle - Area of a Parallelogram - Area of a Trapezoid -
6 Quadrilaterals Parallelogram Opposite sides and opposite angles are congruent. Rectangle Parallelogram with four right angles Rhombus Parallelogram with four congruent sides. Square Parallelogram with four congruent sides and angles. Trapezoid A quadrilateral where exactly one pair of opposite sides are parallel.
7 Polygon Measurements The sum of the measures of a triangle is 180. The sum of the measures of a quadrilateral is 360. Perimeter the distance around a geometric figure. To find the perimeter, add the lengths of it s sides. Perimeter of a rectangle:
8 Circles Circle all points in a plane that are the same distance from a given point, called the center of a circle. Diameter Line segment that passes through the center of a circle and whose endpoints lie on the circle. Radius Line segment whose endpoints are the center of a circle and any point on the circle. Chord Line segment whose endpoints are any two points on a circle. Arc Part of a circle named by it s endpoints. Central Angle An angle formed by two radii (radius). Sector part of the circle enclosed by the two radii and an arc connecting them. Circumference of a circle. Area of a Circle: There are degrees in a circle.
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