Name: ____________________________________________________________ Period:____________

Formal Geometry 2016-2017 rose.revilleza@washoeschools.net MrsRevillezaMath.weebly.com

Formal Geometry Unit 9 Quadrilaterals

Date Section Topic Objectives

2/17 9.5 Symmetry

I can identify line and rotational symmetries in two-dimensional figures.

I can identify line and rotational symmetries in three-dimensional figures

2/21 6.2 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

2/22 6.3 Tests for Parallelograms I can recognize the conditions that ensure a

quadrilateral is a parallelogram

2/23 9.5 – 6.3 Mid Chapter Quiz

I can show mastery on identifying line and rotational symmetry in two and three dimensional figures, and recognize and apply properties of parallelograms

2/24 6.4 Rectangles I can recognize and apply properties of rectangles I can determine whether parallelograms are

rectangles

2/27 6.5 Rhombi & Squares

I can recognize and apply properties rhombi and squares

I can determine whether quadrilaterals are rectangles rhombi or squares

2/28 11.4 Areas of Regular Polygons I can find areas of regular polygons, and of

composite figures

3/1 9.2 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.

3/2 Review I can apply the information from the unit to solve

various problems

3/3 Unit 9 Test

2

3

Chapter 6 Pages 386 - 453 (Chapter 9 & 11 will also be used) Geometry: Glencoe McGraw-Hill (Red Textbook)

9.5: Symmetry

“I can identify line and rotational symmetries in two-dimensional figures.”

“I can identify line and rotational symmetries in three-dimensional figures.”

New Vocabulary

Symmetry

Line Symmetry Line of Symmetry

\

Rotational Symmetry

Angle of Rotational Symmetry

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

5

6.2: 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.”

New Vocabulary

Parallelogram

Properties of Parallelograms

o

o

o

o

Diagonals of Parallelograms

6

6.2: Parallelograms HOMEWORK

Page 404 # 15 - 20 (Write the question & picture (if applicable) to each) You must show your work!

#15 #16

#17 #18

#19 #20

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 6.12

5 ways to prove that a quadrilateral is a parallelogram

1.

2.

3.

4.

5.

3𝑥 − 6

2𝑥 + 8

(3𝑥 − 2)°

56°

3C

8

6.3: Tests for Parallelograms HOMEWORK Page 414-415 # 18-19, 21-23 (Write the question & picture (if applicable) to each) You must show your work!

#18 #19

#21 #22

#23

Mid-Chapter Quiz Next Class!

9

6.4: Rectangles

“I can recognize and apply properties of rectangles”

“I can determine whether parallelograms are rectangles”

Rectangle

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 = 𝟒𝟎.

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)

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

13

11.4: Areas of Regular Polygons

“I can find areas of regular polygons, and of composite figures.”

New Vocabulary

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

𝟐𝒃𝒉

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!

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

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.”

17

Important reminders for coordinate proofs:

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