geometry teachers weekly assessment package unit 3 created ...€¦ · 3 semester 1 skills |...

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1 Semester 1 Skills | Geometry Weekly Assessments | ©2017HighSchoolMathTeachers

Geometry Teachers Weekly Assessment Package

Unit 3

Created by: Jeanette Stein

©2017HighSchoolMathTeachers



SEMESTER 1 SKILLS 3

UNIT 3 5

WEEK #7 6 WEEK #8 9 WEEK #9 12

UNIT 3 - KEYS 14

WEEK #7 KEY 15 WEEK #8KEY 18 WEEK #9KEY 21



Algebra 1 Common Core

Semester 1 Skills Number Unit CCSS Skill

1 1 HSG.CO.A.1 Definition of angles and lines

2 1 HSG.CO.A.2 Representing transformations in the plane

3 1 HSG.CO.A.3 Describing the rotations and reflections that carry it onto itself.

4 1 HSG.CO.A.4 Defining transformations

5 1 HSG.CO.A.5 Drawing the transformed figure

6 1 HSG.CO.B.6 Transforming figures and predicting the effect of a given rigid

motion on a given figure

7 1 HSG.CO.B.6 Deciding congruence of two figures

8 2 HSG.CO.C.9 Prove theorems about lines and angles

9 2 HSG.GPE.B.5 Prove the slope criteria for parallel and perpendicular lines

10 2 HSG.GPE.B.5 Use the slope criteria for parallel and perpendicular lines to solve

geometric problems

11 2 HSG.GPE.B.6 Find the point on a directed line segment that partitions the

segment in a given ratio

12 3 HSG.CO.C.10 Prove theorems about triangles

13 3 HSG.CO.D.12 Make formal geometric constructions

14 3 HSG.CO.D.13 Construct inscribed figures



Number Unit CCSS Skill

15 4 HSG.CO.B.6 Describing transformation theorems

16 4 HSG.CO.B.7 Showing congruence in triangles

17 4 HSG.CO.B.8 Explain the criteria for triangle congruence

18 5 HSG.SRT.A.1 Verify the properties of dilations

19 5 HSG.SRT.A.2 Deciding whether two figures are similar

20 5 HSG.SRT.A.3 Establish the AA criterion for two triangles to be similar

21 5 HSG.SRT.B.4 Prove theorems about triangles

22 5 HSG.SRT.B.5 Use congruence and similarity criteria for triangles to solve

problems

23 5 HSG.SRT.B.5 Use congruence and similarity criteria for triangles to prove

relationships in geometric figures

24 6 HSG.SRT.C.6 Define trigonometric ratios for acute angles

25 6 HSG.SRT.C.7 Explain the relationship between the sine and cosine of

complementary angles

26 6 HSG.SRT.C.7 Use the relationship between the sine and cosine of

complementary angles

27 6 HSG.SRT.C.8 Solve right triangles in applied problems

28 6 HSG.SRT.D.9 Derive the formula A = 1/2ab sin(C) for the area of a triangle

29 6 HSG.SRT.D.10 Prove the Laws of Sine’s and Cosines

30 6 HSG.SRT.D.10 Use the Laws of Sine’s and Cosines to solve problems

31 6 HSG.SRT.D.11 Apply the Law of Sine’s and the Law of Cosines to find unknown

measurements in right and non-right triangles


5 | Geometry Weekly Assessments | ©2017HighSchoolMathTeachers

Unit 3 Weekly Assessments


6 Unit 3 | Geometry Weekly Assessments | ©2017HighSchoolMathTeachers

Week #7

1. Use the figure below to answer the questions that follow.

a) By supplementary angles property, find the size of ∠𝐵𝐶𝐸 . b) By alternate angles property, find the size of ∠𝐵𝐸𝐶. c) By alternate angles property, find the size of ∠𝐶𝐵𝐸. d) Find ∠𝐵𝐸𝐶 + ∠𝐵𝐶𝐸 + ∠𝐶𝐵𝐸

58°

A B

D

E

C F

G

55°



2. The triangle below is reflected through side BC.

a) On the figure, draw the image.

b) What is the size of ∠𝐴𝐴′𝐶?

3. Use the triangle below to answer the

questions that follow.

a) Find the value of 𝑥.

b) Find the size of each base angle.

4. Line AB passes through points 𝐴(3, −2) and

𝐵(8,0). Line BC is perpendicular to AB.

a) Find the slope of BC.

b) Find the equation of BC.

5. Lines CD and EF are parallel. Line CD

passes through points 𝐶(4,6) and

𝐷(13,4). Line EF passes through point

𝐹(5,1).

a) Find the slope of EF.

b) Find the equation of EF.

A B

C

56° (2𝑥 + 20)° ( 4𝑥 )°



6. Use the figure below to answer the questions that

follow.

a) Find the size of angle 𝑎.

b) Find the size of angle 𝑏.

158°

𝑎

𝑏



Week #8

1. Copy the line segment and the angle below.

Show all the marks

a)

b)

2. Construct a line bisector to the line segment and the

angle below. Show all the marks

a)

b)

A B

A B



3. Construct lines perpendicular the following lines. Show all the marks.

a)

b)



4. Use the figure below to answer the questions

that follow.

a) Use the property of supplementary angles to

find the size of ∠𝑋𝑇𝑌.

b) What is the size of ∠𝑌𝑋𝑇?

c) What is the size of ∠𝑋𝑌𝑇?

d) Solve ∠𝑋𝑇𝑌 + ∠𝑌𝑋𝑇 + ∠𝑋𝑌𝑇

5. The triangle below is reflected through side

MN.

a) Where will ∠𝑆 match?

b) Where will ∠𝑆𝑉𝑈 match?

c) Is ∠𝑆 = ∠𝑇?


a) Find the value 𝑥.

b) Find the size of ∠𝐴.

S T

U

W X Y

z

71° 60°

V

U S T

(2𝑥)°

(𝑥 + 15)° (3𝑥 − 15)° A B

C



Week #9

1. Construct an equilateral triangle inscribed in the

circle below.

2. Construct regular hexagon inscribed in the circle

below.

3. Construct squares inscribed in the circles below.

a)

b)

4. Construct perpendicular bisectors to the

following lines.

a)

b)



5. Line 𝐿1 passes through points 𝑋(−2, −6)

and 𝑌(−1,3). At point y, 𝐿2 intersects 𝐿1 at a

right angle.

a) Find the slope of 𝐿2.

b) Find the equation of 𝐿2.

6. Lines AB and CD are parallel. The equation of

AB is 5𝑦 = 7𝑥 − 36. Line CD passes through

point 𝐶(4,6).

a) Find the slope of CD.

b) Find the equation of CB.


14 | Geometry Weekly Assessments | ©2017HighSchoolMathTeachers

Unit 3 - KEYS Weekly Assessments


15 Unit 3 - KEYS | Geometry Weekly Assessments | ©2017HighSchoolMathTeachers

Week #7 KEY

1. Use the figure below to answer the questions that follow. a) By supplementary angles property, find the size of ∠𝐵𝐶𝐸 . 67° b) By alternate angles property, find the size of ∠𝐵𝐸𝐶. 58° c) By alternate angles property, find the size of ∠𝐶𝐵𝐸. 55° d) Find ∠𝐵𝐸𝐶 + ∠𝐵𝐶𝐸 + ∠𝐶𝐵𝐸

180°

58°

A B

D

E

C F

G

55°



2. The triangle below is reflected through side BC.

c) On the figure, draw the image.

d) What is the size of ∠𝐴𝐴′𝐶?

56°

3. Use the triangle below to answer the questions that follow.

c) Find the value of 𝑥.

10

d) Find the size of each base angle.

Each base is equal to 40°

4. Line AB passes through points 𝐴(3, −2) and 𝐵(8,0). Line BC is perpendicular to AB.

c) Find the slope of BC.

−5

2

d) Find the equation of BC.

2𝑦 = −5𝑥 + 15

5. Lines CD and EF are parallel. Line CD passes through points 𝐶(4,6) and 𝐷(13,4). Line EF passes through point 𝐹(5,1).

c) Find the slope of EF.

−2

9

d) Find the equation of EF.

𝑦 = −2

9𝑥 +

19

9

(2𝑥 + 20)° ( 4𝑥 )° A

B

C

56° 𝐴′




c) Find the size of angle 𝑎.

158°

d) Find the size of angle 𝑏.

158°

158°

𝑎

𝑏



Week #8 KEY

1. Copy the line segment and the angle below. Show all the marks

c)

d)

2. 3Construct a line bisector to the line segment and the angle below. Show all the marks

c)

d)

A B

A B

A B



3. Construct lines perpendicular the following lines. Show all the marks.

a) b)




e) Use the property of supplementary angles to

find the size of ∠𝑋𝑇𝑌.

49°

f) What is the size of ∠𝑌𝑋𝑇?

71°

g) What is the size of ∠𝑋𝑌𝑇?

60°

h) Solve ∠𝑋𝑇𝑌 + ∠𝑌𝑋𝑇 + ∠𝑋𝑌𝑇

180°

5. The triangle below is reflected through side UV.

d) Where will ∠𝑆 match?

Onto ∠𝑇

e) Where will ∠𝑆𝑉𝑈 match?

Onto ∠𝑇𝑈𝑉

f) Is ∠𝑆 = ∠𝑇?

Yes


c) Find the value 𝑥.

30

d) Find the size of ∠𝐴.

75°

S T

U

W X Y

z

71° 60°

V

U S T

(2𝑥)°

(𝑥 + 15)° (3𝑥 − 15)° A B

C



Week #9 KEY

1. Construct an equilateral triangle inscribed in the circle below.

2. Construct regular hexagon inscribed in the circle below.

3. Construct squares inscribed in the circles below.

c)

d)

4. Construct perpendicular bisectors to the following lines. a)

b)



5. Line 𝐿1 passes through points 𝑋(−2, −6) and 𝑌(−1,3). At point Y, 𝐿2 intersects 𝐿1 at a right angle.

c) Find the slope of 𝐿2.

−1

9

d) Find the equation of 𝐿2.

9𝑦 = −𝑥 + 26

6. Lines AB and CD are parallel. The equation of AB is 5𝑦 = 7𝑥 − 36. Line CD passes through point 𝐶(4,6).

c) Find the slope of CD.

7

5

d) Find the equation of CB.

5𝑦 = 7𝑥 + 2

geometry teachers weekly assessment package unit 3 created ...€¦ · 3 semester 1 skills |...

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