Formal Geometry Unit 9 Quadrilaterals
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1 Name: Period: Formal Geometry Unit 9 Quadrilaterals Date Section Topic Objectives 2/ Symmetry I can identify line and rotational symmetries in twodimensional figures. I can identify line and rotational symmetries in three-dimensional figures 2/ Parallelograms I can recognize and apply properties of the sides and angles of parallelograms I can recognize and apply properties of the diagonals of parallelograms 2/ Tests for Parallelograms 2/ Mid Chapter Quiz 2/ Rectangles 2/ Rhombi & Squares 2/ Areas of Regular Polygons 3/1 9.2 Coordinate Proofs Using Slope 3/2 Review 3/3 I can recognize the conditions that ensure a quadrilateral is a parallelogram I can show mastery on identifying line and rotational symmetry in two and three dimensional figures, and recognize and apply properties of parallelograms I can recognize and apply properties of rectangles I can determine whether parallelograms are rectangles I can recognize and apply properties rhombi and squares I can determine whether quadrilaterals are rectangles rhombi or squares I can find areas of regular polygons, and of composite figures I can use coordinates to prove simple geometric theorems algebraically I can prove that a set of points forms a parallelogram in the coordinate plane. I can apply the information from the unit to solve various problems Unit 9 Test Formal Geometry rose.revilleza@washoeschools.net MrsRevillezaMath.weebly.com
2 2
3 Chapter 6 Pages (Chapter 9 & 11 will also be used) Geometry: Glencoe McGraw-Hill (Red Textbook) 9.5: Symmetry New Vocabulary I can identify line and rotational symmetries in two-dimensional figures. I can identify line and rotational symmetries in three-dimensional figures. Symmetry Line Symmetry Line of Symmetry \ Rotational Symmetry Angle of Rotational Symmetry 3
4 9.5: Symmetry HOMEWORK Page 656 # 1-6 (Write the question & picture (if applicable) to each) You must show your work! #1 #2 #3 #4 #5 #6 4
5 6.2: Parallelograms New Vocabulary I can recognize and apply properties of the sides and angles of parallelograms. I can recognize and apply properties of the diagonals of parallelograms. Parallelogram o Properties of Parallelograms o o o Diagonals of Parallelograms 5
6 6.2: Parallelograms HOMEWORK Page 404 # (Write the question & picture (if applicable) to each) You must show your work! #15 #16 #17 #18 #19 #20 6
7 6.3: Tests for Parallelograms I can recognize the conditions that ensure a quadrilateral is a parallelogram. New Vocabulary Conditions for Parallelograms Theorem 6.9 Theorem 6.11 Theorem 6.10 Theorem ways to prove that a quadrilateral is a parallelogram C 3x 6 56 (3x 2) 2x + 8 7
8 6.3: Tests for Parallelograms HOMEWORK Page # 18-19, (Write the question & picture (if applicable) to each) You must show your work! #18 #19 #21 #22 #23 Mid-Chapter Quiz Next Class! 8
9 6.4: Rectangles I can recognize and apply properties of rectangles I can determine whether parallelograms are rectangles Rectangle 9
10 6.4: Rectangles HOMEWORK Page 422 #5-6 & Page 423 #26-31 (Write the question & picture (if applicable) to each) You must show your work! #5 #6 #26 - #31 - Find all angles if m 2 =
11 6.4: Rhombi & Square I can recognize and apply properties of rhombi and squares I can determine whether quadrilaterals are rectangles rhombi or squares Rhombus (Plural = Rhombi) 11
12 6.5: Rhombi & Squares HOMEWORK Page 431 #1-2 & Page 432 #23-26 (Write the question & picture (if applicable) to each) You must show your work! #1 #2 #23 #24 #25 #26 12
13 11.4: Areas of Regular Polygons New Vocabulary I can find areas of regular polygons, and of composite figures. Regular Polygon Area of a Regular Polygon Step 1: Find the center of the polygon Step 2: Draw segments to all vertices from center of polygon Step 3: Calculate the central angles by dividing 360 by the number of sides: 360 n. Step 4: Draw in the altitude and divide the central angle by half for new top angle. Step 5: Divide side length in half. Step 6: Use a trig ratio to find the altitude. Step 7: Find the area of the triangle. A = 1 2 bh Step 8: Multiply the area found in Step 7 by the amount of triangles in the entire polygon. Note: Try to leave your answer in radical form! 13
14 14
15 11.4: Areas of Regular Polygons HOMEWORK Page 796 # 10-13(Write the question & picture (if applicable) to each) You must show your work! #10 #11 #12 #13 15
16 9.2: (Translations) Coordinate Proofs Using Slope I can use coordinates to prove simple geometric theorems algebraically. I can prove that a set of points forms a parallelogram in the coordinate plane. 16
17 Important reminders for coordinate proofs: 17
18 9.2: (Translations) Coordinate Proofs Using Slope HOMEWORK You must show your work! We are done with this unit!!! Let s get ready for the Unit Test 18
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Course Title: Plane Geometry CP Course Length: One Year Credits: 10 credits Grades: 8-12 Morgan Hill Unified School District Course Outline Course Goals Students will be able to apply to properties of