Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
S. McMurtrie NAME _____________________________ The Unit Organizer 4 BIGGER PICTURE DATE ______________________________ Geometry 2 1 LAST UNIT/Experience Right Triangles and Trigonometry 8 UNIT SCHEDULE 5 UNIT MAP 3 CURRENT UNIT Chapter 8: Quadrilaterals 8.1 Homework G.1.2.1.4 8.2 Homework G.1.2.1.2 8.3 Homework 8.1 Find Angle Measures in Polygons M11.C.1.2.2 Find side lengths and angle measures in different types of quadrilaterals G.1.2.1.2 G.1.2.1.2 8.5 Homework G.1.2.1.2 8.2 Use Properties of Parallelograms M11.C.1.2.2 M11.C.1.2.2 G.1.2.1.2 Test Chapter 8 Test M11.C.1.2.2 8.5 Use Properties of Trapezoids and Kites 8.6 Homework Rev Review Worksheet 8.6 Identify Special Quadrilaterals Pages 504-564 Quiz Quiz 8.1-8.3 8.4 Homework NEXT UNIT/Experience Properties of Circles 8.3 Show that a Quadrilateral is a Parallelogram 8.4 Properties of Rhombuses, Rectangles, and Squares M11.C.1.2.2 7 How do you find a missing angle measure in a convex polygon? (2.9) How do you find angle and side measures in a parallelogram? (2.9) How can you prove that a quadrilateral is a parallelogram? (2.9) What are the properties of parallelograms that have all sides or all angles congruent? (2.9) What are the main properties of trapezoids and kites? (2.9) How can you identify special quadrilaterals? (2.9) (13.1.11B) cause/effect examples steps 6 UNIT RELATIONSHIPS UNIT SELF-TEST QUESTIONS M11.C.1.2.2 NAME _____________________________ The Unit Organizer Chapter 8: Quadrilaterals DATE ______________________________ 9 EXPANDED UNIT MAP 8.1 Find Angle Measures in Polygons Diagonals – a segment that joins two non-consecutive vertices of a polygon The sum of the measures of the interior angles of a convex polygon is 180(n-2) where n is the number of sides The sum of the measures of the exterior angles of a convex polygon is 360. NEW UNIT SELF-TEST QUESTIONS 10 8.2 Use Properties of Parallelograms 8.6 Identify Special Quadrilaterals Find side lengths and angle measures in different types of quadrilaterals 8.3 Show that a Parallelogram – a quadrilateral where both Quadrilateral is pairs of opposite sides are a Parallelogram parallel In a parallelogram, opposite angles are congruent If both pairs of opposite sides of In a parallelogram, a quadrilateral are congruent, consecutive angles are then it is a parallelogram. supplementary. If both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram. If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. Pages 504-564 8.4 Properties of Rhombuses, Rectangles, and Squares Rhombus – a parallelogram with four congruent sides Rectangle – a parallelogram with four right angles Square – a parallelogram with four congruent sides and four right angles A parallelogram is a rhombus if and only if its diagonals are perpendicular. A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles. A parallelogram is a rectangle if and only if its diagonals are congruent. 8.5 Use Properties of Trapezoids and Kites Kite – a quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent In a kite, diagonals are perpendicular. Trapezoid – a quadrilateral with exactly one pair In a kite, exactly on of parallel sides pair of opposite Bases – the parallel sides of a trapezoid angles are congruent. Base angles – any angle associated with the base of a trapezoid – there are two pairs Legs – the nonparallel sides of a trapezoid Isosceles trapezoid – a trapezoid with congruent legs In an isosceles trapezoid, base angles are congruent. If a trapezoid has a par of congruent base angles, then the trapezoid is isosceles. A trapezoid is isosceles if and only if its diagonals are congruent. Midsegment – a segment connecting the midpoints of the legs of a trapezoid The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases. When will you need to know the midsegment of a trapezoid? What are the common properties between the special quadrilaterals? Can you create a Venn diagram to show the relationships between special quadrilaterals?