* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

# Download Unit F: Quadrilaterals (1.6, 5.3-5.7)

Survey

Document related concepts

Penrose tiling wikipedia , lookup

History of trigonometry wikipedia , lookup

History of geometry wikipedia , lookup

Motive (algebraic geometry) wikipedia , lookup

Rational trigonometry wikipedia , lookup

Integer triangle wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Multilateration wikipedia , lookup

Trigonometric functions wikipedia , lookup

Line (geometry) wikipedia , lookup

Euclidean geometry wikipedia , lookup

Geometrization conjecture wikipedia , lookup

Transcript

Unit F: Quadrilaterals (1.6, 5.3-5.7) □ I can define and classify special quadrilaterals. □ I will define and recognize a trapezoid, kite, parallelogram, rhombus, rectangle, and square. □ I will sketch, label, and mark a quadrilateral given a specific description. □ I can apply the properties of a kite to solve problems. □ I will explain and use the relationship between the nonvertex angles of a kite. □ I will explain and use the relationships formed by the diagonals of a kite. □ I can apply the properties of a trapezoid to solve problems. □ I will explain and use the relationships between the angles of trapezoids and isosceles trapezoids. □ I will explain and use the relationship between the diagonals of an isosceles trapezoid. □ I can apply the properties of midsegments of triangles and trapezoids to solve problems. □ I will define the midsegment of a triangle and trapezoid. □ I will explain and use the properties of a midsegment in a triangle to find the measures of angles and lengths of segments. □ I will explain and use the properties of a midsegment in a trapezoid to find the measures of angles and lengths of segments. □ I can apply the properties of parallelograms, rhombuses, rectangles, and squares to solve problems. □ I will explain and use the relationships between the angles of a parallelogram. □ I will explain and use the relationship between the diagonals of a parallelogram. □ I will explain and use the relationships formed by the diagonals of a rhombus. □ I will explain and use the relationships formed by the diagonals of a rectangle. □ I will explain and use the relationships formed by the diagonals of a square. □ I can find and compare the slopes of parallel and perpendicular lines. □ I will explain the relationship between the slopes of parallel lines. □ I will explain the relationship between the slopes of perpendicular lines. □ I will find the equation of a parallel or perpendicular line given a slope and point. Key Vocabulary and Concepts base angles bases consecutive angles isosceles trapezoid kite nonvertex angles parallelogram quadrilateral rectangle rhombus slope square trapezoid vertex angles Conjectures Kite Angles Conjecture Kite Diagonals Conjecture Kite Diagonal Bisector Conjecture Kite Angle Biesctor Conjecture Trapezoid Consecutive Angles Conejcture Isosceles Trapezoid Conjecture Isosceles Trapezoid Diagonals Conjecture Three Midsegments Conjecture Triangle Midsegment Conjecture Online Textbook http://math.kendallhunt.com Trapezoid Midsegment Conjecture Parallelogram Opposite Angles Conjecture Parallelogram Consecutive Angles Conjecture Parallelogram Opposite Sides Conjecture Parallelogram Diagonals Conjecture Rhombus Diagonal Conjecture Rhombus Angles Conjecture Rectangle Diagonals Conjecture Square Diagonals Conjecture classpass: elliott12 Online Resources Summary of types of quadrilaterals: http://www.math.com/school/subject3/lessons/S3U2L3DP.html AWESOME summary of quadrilaterals and their properties: http://www.mathsisfun.com/quadrilaterals.html A video summarizing quadrilaterals and their properties: http://www.nutshellmath.com/textbooks_glossary_demos/demos_content/geo_special_quadrilaterals.html Fun and cheesy video/song about quadrilaterals: http://www.youtube.com/watch?v=rXZcYHVwkqI Video summarizing properties of a kite: http://www.brightstorm.com/math/geometry/polygons/kite-properties/ A review of slopes of parallel and perpendicular lines: http://www.purplemath.com/modules/slope2.htm Extension Exercises An interactive activity discovering the properties of a kite: http://math.kendallhunt.com/x19428.html