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Transcript
Unit 7: Geometry Acute Angle An angle with a measure greater than 0° and less than 90°. Adjacent Angles Two angles that have the same vertex, share a common side, and do not overlap. Angle Two rays with a common endpoint form an angle. The rays and vertex are used to name an angle. The rays and vertex are used to name an angle. Complementary Angles Two angles are complementary if the sum of their measures is 90°. Cone A solid that has one curved surface, one flat base (usually circular), and one vertex. Congruent Line segments that have the same length, or angles that have the same measure, or figures that have the same size and shape. Cylinder A solid that has two parallel, congruent bases (usually circular) connected with one curved side and no vertices. Dilation A transformation that alters the size of a figure but not its shape. Edge Where two planes intersect in a line. Equilateral Triangle A triangle that has three congruent segments. Faces A flat surface of a solid figure. Hypotenuse The side opposite the right angle. Unit 7: Geometry Legs In a right triangle, the sides adjacent to the right angle. Line Segment Part of a line containing two endpoints and all the points between them. Obtuse Angle An angle with a measure greater than 90° but less than 180°. Parallelogram A quadrilateral with opposite sides parallel and congruent. Plane A two-dimensional flat surface that extends in all directions and contains at least three non-collinear points. Point A specific location in space with no size or shape. Polygon A simple closed figure in a plane formed by three or more line segments. Polyhedron A solid with flat surfaces that are polygons. Prism A polyhedron with two parallel, congruent polygon bases and rectangular or square faces. Pyramid A polyhedron that has a polygon for a base and triangular faces that share a common vertex. Pythagorean Theorem If a triangle is a right triangle, then the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs or c2 = a2 + b2. Quadrilateral Any closed figure with four sides and four vertices, including squares, rectangles, and trapezoids. Rectangle A parallelogram with four right angles. Unit 7: Geometry Reflection A transformation where a figure is flipped over a line. Also called a flip. Reflex Angle An angle with a measure greater than 180° but less than 360°. Rhombus A parallelogram with four congruent sides and 2 pairs of congruent and opposite angles. Right Angle An angle with a measure equal to 90°. Rotation A transformation where a figure is turned around a fixed point. Also called a turn. Similar figures Figures that have the same shape but not necessarily the same size. Skew lines Lines that are neither intersecting nor parallel. They lie in different planes. Straight Angle An angle with a measure equal to 180°. Supplementary Angles Two angles are supplementary if the sum of their measures is 180°. Three-Dimensional Three-dimensional figures have three dimensions: length, width, and depth for height. Solids Transformation A movement of a geometric figure. Translation A transformation where a figure is slid from one position to another without being turned. Also called a slide. Trapezoid A quadrilateral with exactly one pair of parallel sides. Unit 7: Geometry Vertex Where three or more planes intersect in a point. Plural: vertices. Vertical Angles Two pairs of opposite angles formed by two intersecting lines. The angles formed are congruent.