Good morning everyone,

I hope you are all safe and healthy. I will be sending you all some work to do at home so you

won't lose all the amazing gains you have had this school year.

If you have any questions please feel free to reach out to me. I am available via email, or via

phone call if you would like to set up a time for us to talk. I have added everyone to my IXL

classroom. If you have trouble signing on, please reach out to me.

If you have any missing work that you have completed, please send it to me by taking a photo

or scan it and send it to my email, or you can use turnitin with the following code. All exercises

must be submitted by the end of the day on the day they were assigned. These can be submitted

through turnitin by taking a picture or scanning your work and saving it as a word document or pdf

(pictures/scans should be compiled into one document to submit. This can be done by inserting your

pictures into a word document).

Class Period H

Class I.D 24262164

Enrollment Key Reynolds

All the best,

Ms. Reynolds

Geometry CP- Submit Each Assignmnet by the end of each assigned day

Monday - First half of Study Guide 16 (Lesson 62-71)

Tuesday - Second half of Study Guide 16 (Lesson 72- Inv 8)

Wednesday - Test 16 (try to complete in 41 minutes and test yourself without notes)

Thursday - IXL - Category: Geometry - Subject: R.1: Trig Ratios

Subject: R.10: Solve a Right Triangle

Friday-IXL-Category: Geometry - Subject:E.6: Equations of Parallel and Perpendicular Lines

Subject: Q.4: Special Right Triangles

Your work should be completed and submitted on turn it in at the end of

each assigned day.

Collaboration is not allowed. Collaboration - to work jointly with others or together

especially in an intellectual endeavor. When collaboration takes place, all students

must demonstrate understanding of the new material.

Student Name (Please Print):_______________________________________________________

Mystic Valley Regional Charter School

Test Study Guide

Be able to define, understand, and use the following properties, terms, and concepts:

• Postulates 1-21

• Theorems through 80 (including corollaries)

• Volume and surface area formulas

• Transformations

• Trig Ratios/Angles of Elevation and Depression

• Component Form of Vectors

• Mapping Notation

• Apothem

• Slant Height

• Equation of a Circle

Refer to the following Homework Problems and Lesson Practice Problems for practice.

Remember to use your corrected homework and practice to check your work. You must try

the indicated problem. If you have difficulty with a problem type, do more practice

problems!

Course: Geometry Test Number: 16 Lessons Covered: 1 – Inv 8 Test Date: Thursday, March 12th 2020

Lesson Taught

Problem Type Lesson Practice Examples

Homework Examples

62 Find the Lateral Area of Cylinders 62 a HW L63 #15

62 a

63 Adding Vectors 63 c, e HW L64 #10, 30 HW L65 #18

63 c, e

64 Find the Measures of Angles Both Interior and Exterior to Circles

64 a L64 #9, 26

64 a

65 Determine What Type of Parallelogram a Figure Is 65 a

65 a

66 Find the Area of a Regular Polygon 66 c, e

66 e

67 Identify Types of Transformations 67 a, c

67 c

68 Evaluate the Sine, Cosine, and Tangent of Angles LP 68 d, e, f

68 d, e, f

69 Use and Apply Properties of the Diagonals of a Kite 69 d HW L69 #14

69 d

70 Find the Volume of Regular Pyramids 70 c Example 3 on pg 466 is a good example to look at for this.

70 c

71 Find the Image of a Figure after a Translation 71 b HW L72 # 7, 17

71 b

72 Properties of Tangents and Circles 72 b

72 b

73 Use the Angles of Elevation and Depression 73 b HW L74 #13 Example 2 on Pg 485 is

good to look at also. 73 b

74 Find the Image of a Figure after a Translation 74 b HW L75 #7

74 b

75 Graphing Circles 75 e, f.

75 e, f

76 Lines of Symmetry 76 a

76 a

77 Lateral Area of Cones 77 a HW L77 #1

77 a

78 Graph and Rotate Figures 78 a, b. HW L78 #s 6, 11, 21, 29

HW L78 # 29

79 Use Angle of Elevation and Depression 79 c, d HW L80 #15, 21

79 c, d

80 Surface Area of Spheres 80 a HW L80 #2

80 a

Inv 8 Determine the Number of Line Segments Drawn Between a Given Number of Points

Inv 8 # 12, 13 *Know the formula and understand how

to use it! Inv 8 #12, 13 from book (They are #s 8 and 9 from your worksheet that day)

Name:_______________________________ Date:__________________ Period:______________

Geometry – Test 16

Read each question carefully and please show all of your supporting work in

order to receive full credit.

(1) A person on top of a water tower sees a car below. If the angle of depression between the top of the water tower and the car is 30°, how far is the person from the car? (3 Pts)

Hint: SOH|CAH|TOA

(2) In the diagram, ⊙A is tangent to ⊙C and 𝐵𝐷̅̅ ̅̅ is tangent to ⊙A. The radius of ⊙A is 6 meters

and the radius of ⊙C is 4 meters. Find the area of △ADB to the nearest square meter. (A=1

2𝑏ℎ)

Step 1: If 𝐵𝐷̅̅ ̅̅ is tangent to ⊙A, what does that (3 Pts) mean about m∠B? Step 2: Using the information given above find the lengths of 𝐴𝐵̅̅ ̅̅ and 𝐴𝐷̅̅ ̅̅ .

AB = _______

AD = _______

Step 3: Use the Pythagorean theorem to find the length of 𝐵𝐷̅̅ ̅̅ .

Step 4: Find the area of the triangle using 𝐴𝐵̅̅ ̅̅ and 𝐵𝐷̅̅ ̅̅ .

30°

50 m x

B

C A D

Name:_______________________________ Date:__________________ Period:______________

(3) If triangle △ABC has vertices A(3, 4), B(1, 3), and C(4, 1), graph the triangle and its rotation 180° about the origin? Hint: T:(x, y)→ (-x, -y) Be sure to label the points! (4 Pts)

(4) Is the parallelogram shown below a rectangle? (4 Pts)

(5) Identify whether the figure below has a line of symmetry. If it does, draw the line of

symmetry. (2 Pts)

(6) Identify the type of transformation illustrated below. (2 Pts)

(8x - 6)°

(7x+6)°

A

B

C C’

B’

A’

Name:_______________________________ Date:__________________ Period:______________

X

W

Z

Y

140°

(7) Graph ⊙A if its equation is 𝑥2 + 𝑦2 = 49. Hint: (𝑥 − ℎ)2 + (𝑦 − 𝑘)2 = 𝑟2 (4 Pts)

Step 1: Write and graph the center (h, k).

(h,k)= ( , ) Step 2: Find the radius and then use that to graph and connect four points on the circle.

r=_________

(8) Find m∠C in the diagram below. (3 Pts)

(9) Use a calculator to evaluate the expression 𝑠𝑖𝑛(57°). Round the answer to the nearest hundredth. (2 Pts)

(10) In the diagram below, find m∠WXY, given that 𝑋𝑌 ⃡ is a tangent. (3 Pts)

C

B

D

A

E 15°

61°

Name:_______________________________ Date:__________________ Period:______________

(11) Use the apothem and perimeter to find the area of a regular hexagon with side length 12ft.

Step 1: Find the perimeter of the hexagon (6 sides) if each side is 12 feet.

Step 2: Find the length of the apothem, a, using the 30-60-90 triangle in the picture.

Step 3: Find the total area of the hexagon using the formula 𝐴 =1

2(𝑎)(𝑃)

(4 Pts)

(12) Calculate the lateral area of a right cone with a slant height of 10 inches and a radius of 4

inches to the nearest tenth inch using 3.14 for 𝜋. (Hint: LA = 𝜋𝑟𝑙) (3 Pts)

(13) The vertices of a triangle are E(-3, 0), F(-2, -3), and G(1, -2). Find the image of △EFG after the translation T:(x, y)→ (x+2, y+3). (4 Pts)

Step 1: Graph △EFG. Step 2: Write out the translation for each point of the triangle.

E’( , ) F’( , ) G’( , ) Step 3: Graph the image (△E’F’G’).

(14) Find the volume of a regular triangular pyramid where all faces are congruent, with a base

area of 6.6 cm2 and a height of 3.25 cm. Hint: V=1

3(𝐴𝑟𝑒𝑎 𝑜𝑓 𝑏𝑎𝑠𝑒)(ℎ𝑒𝑖𝑔ℎ𝑡) (3 Pts)

a 300

12 ft

Name:_______________________________ Date:__________________ Period:______________

(15) Find the lengths of the sides of the kite ABCD shown below. Round to the nearest tenth. Step 1: Find AB using the Pythagorean Theorem. (5 Pts) AB=______________ Step 2: Find BC using the Pythagorean Theorem. BC = ____________ Step 3: Using what you know about the properties of kites, how do you now know what the length of AD, and DC are?

(16) Find the surface area of a sphere with a 3-foot radius in terms of π. (3 Pts)

(Hint: SA=4πr2)

(17) Find the lateral area of a cylinder with a radius of 10 in. and a height of 15 in. in terms of π.

(Hint: L=2πrh) (3 Pts)

(18) The rule for the number of line segments, 𝐿, between, 𝑛, collinear points, in terms of the number of line segments between 𝑛 − 1 points (denoted 𝐿𝑛−1) is 𝐿𝑛 = 𝐿𝑛−1 + (𝑛 − 1). How many line segments can be drawn between 8 noncollinear points if L7=21? (3 Pts)

(Hint: 𝑛=8, plug it in and solve)

A

B

C

D 2

3

5

Name:_______________________________ Date:__________________ Period:______________

(19) Rectangle ABCD has vertices at A(-4, 6), B(2, 6), C(2, 4), and D(-4, 4). Reflect ABCD across the line y = 3. Identify the coordinates of the vertices of the reflected image. (5 Pts)

Step 1: Graph ABCD and Draw the HORIZONTAL LINE y = 3 Step 2: Find the coordinates of the image A’B’C’D’ knowing that each point has to be the same distance away from the line y = 3 on both sides!

A’( , ) B’( , ) C’( , ) D’( , )

(20) Add vectors 𝑝, �⃑�, 𝑎𝑛𝑑 𝑟 shown below. (4 Pts)

Step 1: Write each vector in component form . Step 2: Add the x components and add the y components to find the resultant vector.

𝑝 =< , >

𝑞 =< , >

𝑟 =< , >

𝑝 + 𝑞 + 𝑟 =< , >

𝑝 𝑟

�⃑�

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