Name: Period P UNIT 11: QURILTERLS N POLYONS I can define, identify and illustrate the following terms: Quadrilateral Parallelogram Rhombus Rectangle Square Trapezoid Isosceles trapezoid Kite oncave polygon onvex Polygon Regular Polygon iagonal 16 ates, assignments, and quizzes subject to change without advance notice. Monday Tuesday lock ay Friday 17 18/19 20 6-1 6-2 & 6-3 MLK Y Polygons Parallelograms 6-3 No School Parallelograms 23 6-4 & 6-5 Special Parallelograms 30 Quadrilateral Proofs 24 6-6 Trapezoids & Kites 31 Review 25/26 Quadrilaterals on the oordinate Plane 1/2 TEST 27 3 QUIZ Tuesday, 1/17/12 6-1: Properties and ttributes of Polygons I can name polygons with up to ten sides. I can classify a polygon as concave or convex and regular or irregular. I can find the measure of an interior angle of any regular polygon. I can find the measure of an exterior angle of any regular polygon. PRTIE: Polygon iscovery Questions Wednesday, 1/18/12 or Thursday, 1/19/12 6-2 & 6-3: Properties of Parallelograms I know and can use the properties of a parallelogram to solve problems. PRTIE: pp. 395-396 #21-24, 28-30, 32-43, 46, 47 and p 402 # 9-13, 20-23 Friday, 1/20/12 6-3: Properties of Parallelograms I know and can use the properties of a parallelogram to solve problems. PRTIE: p 402 # 14-15, 36-37,39 Monday, 1/23/12 6-4 & 6-5: Properties of Special Parallelograms I know and can use the properties of a rhombus to solve problems. I know and can use the properties of a rectangle to solve problems. I know and can use the properties of a square to solve problems. PRTIE: pp. 412-415, #18-31, 41, 47; p. 422 #11-16, 24-26
Tuesday, 1/24/12 6-6: Properties of Kites and Trapezoids I know and can use the properties of a trapezoid to solve problems. I know and can use the properties of an isosceles trapezoid to solve problems. I know and can use the properties of a kite to solve problems. PRTIE: pp. 433-434 #19-25, 27, 30, 32, 34-35, 38 proof (use picture below) Wednesday, 1/25/12 or Thursday, 1/26/12 Quadrilaterals in the oordinate Plane I can use the find the slope and distance between two points. I can use the properties of quadrilaterals to prove that a figure in the coordinate plane is a parallelogram, rhombus, rectangle, square, or trapezoid. PRTIE: Quadrilaterals in the oordinate Plane Worksheet Friday, 1/27/12 QUIZ: Properties of Quadrilaterals PRTIE: egin Review p 438 #1-67 Monday, 1/30/12 Quadrilateral Proofs I can write a two-column proof using properties of quadrilaterals. I can use the properties of quadrilaterals to draw conclusions about their relationships. PRTIE: Quadrilateral Proofs Worksheet Tuesday, 1/31/12 Review I can use properties and attributes of polygons and quadrilaterals to solve problems and write proofs. PRTIE: Pg 438 441, #5-28, 33-47, 53-67 ll answers are in the back of the book. Wednesday, 2/1/12 or Thursday, 2/2/12 Test 10: Quadrilaterals and Polygons
Name: Period: Quadrilaterals in the oordinate Plane 1 2: Show that the quadrilateral with the given vertices is a parallelogram. 1. ( 3, 2), ( 2, 7), (2, 4), and (1, 1) 2. J( 1, 0), K( 3, 7), L(2, 6), and M(4, 1) 3. The vertices of square PQRS are P( 4, 0), Q(4, 3), R(7, 5), and S( 1, 8). Show that the diagonals of square PQRS are congruent perpendicular bisectors of each other. 4 5: Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. ive all names that apply. 4. ( 10, 4), ( 2, 10), (4, 2), and ( 4, 4) 5. J( 9, 7), K( 4, 2), L(3, 3), and M( 2, 8)
6 8: ive the best name for a quadrilateral with the given vertices. 6. ( 4, 1), ( 4, 6), (2, 6), (2, 4) 7. ( 4, 3), (0, 3), (4, 3), (8, 3) 8. ( 8, 4), ( 5, 1), (1, 5), and ( 2, 10) 9. Which of the following is the best name for figure WXYZ with vertices W( 3, 1), X(1, 5), Y(8, 2), and Z(4, 6)? (a) Parallelogram (c) Rhombus (b) Rectangle (d) Square 10. Four lines are represented by the equations below: l : y = x + 1 m : y = x + 7 n : y = 2x + 1 p : y = 2x + 7 a. raph the four lines in the coordinate plane. b. lassify the quadrilateral formed by the lines. c. Suppose the slopes of lines n and p change to 1. Reclassify the quadrilateral.
Name: Period: Quadrilateral Proofs 1. iven: PSTV is a parallelogram. PQ RQ 2. iven: and F are parallelograms. Prove: STV R Prove: Q S T F P V R 3. iven: EF is a rectangle. 4. iven: LM is a parallelogram. L JM J is the midpoint of E. Prove: JM is isosceles Prove: FJ is isosceles. J F K L E J M 5. iven: RM is a rhombus with diagonal. 6. iven: QRST is a parallelogram. PR TV. Prove: MX RX Prove: PQR VST M Q T V X R P R S 7. iven: l m and 15 7 Prove: The four lines form a parallelogram 8. iven: is a rhombus. E, F,, and are the midpoints of the sides. m l 15 14 16 13 1 2 4 3 b 10 9 11 12 a 5 6 8 7 Prove: EF is a parallelogram. E F
9. iven: EF is a parallelogram 10. iven: is a rectangle Prove: m = m E + m F Prove: E E 11. iven: IJ is a rhombus 12. iven: PQ SR, QU SR, PT SR Prove: 1 3 Prove: PQUT is a rectangle 13. iven: Parallelogram 14. iven: Parallelogram Prove: Prove: E E E 15. iven: Rectangle 16. iven: Isosceles Trapezoid Prove: Prove:
ngles in Polygons - Exploration Name of polygon # of Sides # of iagonals from a vertex # of triangles in polygon Sum of interior angles Measure of one interior angle Measure of one exterior angle Sum of exterior angles Triangle Quadrilateral Pentagon exagon eptagon Octagon Nonagon ecagon n-gon
Name: Period: ngles in Polygons ssignment I. Fill in the chart. Polygon Sum of Interior s Each Interior Each Exterior quadrilateral decagon 20-gon pentagon triangle 12-gon 18-gon hexagon nonagon 36-gon octagon heptagon 72-gon Sum of Exterior s II. Solve the following word problems. 1) If the sum of the interior angles is 1980, what is the name of the polygon? 2) If each of the exterior angles is 15, what is the name of the polygon? 3) If each on the interior angles is 108, what is the name of the polygon? 4) If it is a decagon, what is the sum of the exterior angles? 5) If the sum of the interior angles is 3600, what is the name of the polygon? 6) If each of the exterior angles is 24, what is the name of the polygon? 7) If each of the interior angles is 135, what is the name of the polygon? 8) If each of the exterior angles is 60, what is the name of the polygon? 9) If each interior angle is 160, what is the name of the polygon?