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Hudson Middle School 77 North Oviatt Street - Hudson, Ohio 44236 Kim Cockley - Building Principal Karen Weber – Assistant Principal Michael Sedlak – Assistant Principal Local: 330-653-1316 Cleveland: 330-656-2590 Fax: 330-653-1368 Dear Parents, Tomorrow we will begin Chapter 7: Geometric Figures. In this chapter, your child will learn how to classify and determine the measure of angles and how angles relate to triangles, quadrilaterals, and other polygons. We will also examine properties of threedimensional figures. Below you will find key vocabulary words from the chapter and activities you can do with your child at home to support the mathematics we are learning in class. If you have any questions or concerns about this chapter or your child’s progress, please feel free to email or call me. Sincerely, Annette Blue Math Teacher Chapter 7: Geometric Figures Vocabulary Acute angle - an angle with a measure greater than 0° and less than 90° Acute triangle - a triangle having three acute angles Adjacent angles – angles that have the same vertex, share a common side, and do not overlap Base – one of the two parallel congruent faces of a prism Complementary angles – two angles are complementary if the sum of their measures is 90° Cone – a three-dimensional figure with one circular base connected by a curved surface to a single vertex Congruent – having the same measure Congruent segments – sides with the same length Coplanar – lines of points that lie in the same plane Cross section – the cross section of a solid and a plane Cylinder – a three-dimensional figure with two parallel congruent circular bases connected by a curved surface Diagonal – a line segment that connects two nonconsecutive vertices ‘ Edge – the line segment where two faces of a polyhedron intersect Equilateral triangle – a triangle having three congruent sides Face – a flat surface of a polyhedron Isosceles triangle – a triangle having at least two congruent sides Obtuse angle - an angle that measures greater than 90°, but less than 180° Obtuse triangle – a triangle having one obtuse angle Plane – a two-dimensional flat surface hat extends in all directions Polyhedron - a three-dimensional figure with faces that are polygons Prism – a polyhedron with two parallel congruent faces called bases Pyramid – a polyhedron with one base that is a polygon and three or more triangular faces that meet at a common vertex Right angle - an angle that measures exactly 90° Scale - the scale that gives the ratio that compares the measurements of a drawing or model to the measurements of the real object Scale drawing - a drawing that is used to represent objects that are too large or too small to be drawn at an actual size Scale factor - a scale written as a ratio without units in simplest form Scale model - a model used to represent objects that are too large or too small to be built at an actual size Scalene triangle - a triangle having no congruent sides Straight angle - an angle that measures exactly 180° Supplementary angles – two angles are supplementary if the sum of their measures is 180° Triangle - a figure with three sides and three angles Vertex - the common endpoint of the rays forming the angle Vertical angles - opposite angles formed by the intersection of two lines; vertical angles are congruent Hands-On Activity Materials: paper, pencil, ruler, protractor Use the ruler to draw several different types of quadrilaterals on a piece of paper. For example: rectangles, squares, trapezoids, and parallelograms. Use the protractor to measure the angles of each quadrilateral. Record each angle measure. Find the sum of the angle measures of each quadrilateral. Record each sum. What do you notice about the sum of the angle measures of each quadrilateral? Real-World Activity Visit a playground or other public park that has a fence. Find parts of the fence that model parallel lines. Find another line, a transversal that crosses the parallel lines. Estimate the measure of the angles formed by the parallel lines and the transversal. Discuss the relationship among the different angles. Find several other examples of parallel lines and transversals and repeat the previous two steps.