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Name _________________________________ Date ________________ Day 1: Geometry Terms & Diagrams CC Geometry Module 1 For #1-3: Identify each of the following diagrams with the correct geometry term.

4. Explain why it is possible to determine the measure (or length) of line segment but not possible to talk about the

measure (or length) of line or ray.

For #5-7: Identify each of the following PAIRS OF LINES with the correct geometry term.

For #8-10: Identify each of the following ANGLES with the correct geometry term.

#1-3 Vocab. Bank

Line Segment AB

Line AB

Ray AB

1._____________________

2.__________________

3._____________________

#5-7 Vocab. Bank

Intersecting Lines AB and CD

Parallel Lines AB CD

Perpendicular Lines AB CD

5.___________________

6.___________________

7.___________________

#8-10 Vocab. Bank

Right Angle ABC

Acute Angle ABC

Obtuse Angle ABC

8._____________________

9.__________________

10._____________________

E

D

A B

C

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For #11-13: Identify each of the following TRIANGLES with the correct geometry term.

For #14-17: Identify each of the following QUADRILATERALS with the correct geometry term.

For #18-21: Identify each of the following POLYGONS with the correct geometry term.

For #22-25: Identify each of the following TRANSFORMATION with the correct geometry term.

11.____________________

12._________________

13._____________________

#11-13 Vocab. Bank

Right Triangle ABC

Isosceles Triangle ABC

Equilateral Triangle ABC

#14-17 Vocab. Bank

Parallelogram ABCD

Rectangle ABCD

Rhombus ABCD

Square ABCD

14.___________

15.______________

16.____________

17._________________

#18-21 Vocab. Bank

Decagon Octagon

Pentagon Hexagon

18.___________

19.______________

20.____________

21._______________

#22-25 Vocab. Bank

Translation Dilation

Reflection Rotation

18.___________

19.______________

20.____________

21.____________

E

BA

DC

E

BA

DC

E

BA

D C

E

BA

D C

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Name: ________________________________________________ Date: __________ Day 1and2 LabLesson: Copying Segments & Triangles and Triangle Notation CC Geometry (M1) Example 1: Copying a Segment with your Compass Practice - NYTS (Now You Try Some)

1.Copy the segment 𝐴𝐵̅̅ ̅̅ .

2. Create the length 3AB

3. Given 𝐶𝐷̅̅ ̅̅ & 𝐸𝐹̅̅ ̅̅ . Use the copy segment construction to create a segment that is the length of CD + EF on the

horizontal line below.

A B A'

A B A'

(a) Using your compass, place the pointer at Point A and

extend the slider until reaches Point B. Your compass

now has the measure of AB.

(b) Place your pointer at A’, and then create the arc using

your compass. The intersection is the same radii, thus the

same distance as AB. You have copied the length AB.

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4. Given , ,&AB CD EF , use the copy segment construction to create a triangle with the longest side lying on the

horizontal line shown below.

5. Given ABC, construct a copy of it, A’B’C’.

6. Match the sides and angles described below with the correct notation in the below triangle diagram. _______ 1. The side that measures 8 cm.

_______ 2. The side that measures 9.5 cm.

_______ 3. The side that measures 14 cm.

_______ 4. The angle measuring 82o.

_______ 5. The angle measuring 55o.

_______ 6. The angle measuring 43o

7. Match the sides and angles described below with the correct notation in the below triangle diagram. _______ 1. The side with a single hash mark.

_______ 2. The side with 2 hash marks.

_______ 3. The side with 3 hash marks.

_______ 4. The right angle marked with a small square.

_______ 5. The angle marked with a single arc.

_______ 6. The angle marked with 2 arcs.

Notation

A. 𝐽𝐾̅̅ ̅ B. < 𝐼𝐽𝐾

C. 𝐼𝐾̅̅ ̅ D. < 𝐽𝐾𝐼

E. 𝐽�̅� F. < 𝐽𝐼𝐾

Notation

A. 𝐴𝐻̅̅ ̅̅ B. < 𝐴𝐻𝑇

C. 𝐻𝑇̅̅ ̅̅ D. < 𝐻𝑇𝐴

E. 𝐴𝐼̅̅ ̅ F. < 𝑇𝐴𝐻

B C

A

A BC DE F

A

B'

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Name: ________________________________________________ Date: __________ Day 2: Construct an Equilateral Triangle CC Geometry (M1L1&2) Opening Exercise: Dan and Brad are in the park playing catch. Larry joins them, and the boys want to stand so that the distance between any two of them is the same. Where do they stand? How could they figure this out the most accurately?

Term Definition Diagram

Line Segment

A part of a line with 2 ______________. (can be measured)

Ray

A part of a line with 1 _____________ and extending _________________ in one direction. (cannot be measured)

Angle

A figure formed by 2 ________ with a common _______________ (vertex). (measured in ___________)

Equilateral Triangle

A triangle with _____ congruent sides and _____ congruent angles.

Geometric Constructions

Draw shapes, angles or lines accurately. These geometric constructions use only _________, _________ (i.e. ruler) and a______.

Using only our compass and straightedge we can create a variety of triangles. One of the golden rules of construction

is to always leave your construction marks.

Example 2: Equilateral Triangle Construction

(a)Using your compass, place the pointer at Point A and extend it until reaches Point B.

(b) Create an arc (1/4 circle either above or below AB).

(c) Without changing your compass measurement, place your point at B and create the same arc.

(d)The two arcs will intersect. Label the point C and connect to points A and B.

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Example 3: a. Using a compass, straightedge, and below, construct an equilateral triangle with all sides congruent to

. [Leave all construction marks.] b. Determine the measure of each angle of 𝛥𝐴𝐵𝐶. Explain your answer. c. If side AB = 7 cm, what is the length of sides AC and BC? Practice NYTS (Now You Try Some)

1. Construct equilateral triangles using the segments shown as one of the three equal sides. Leave all construction marks. a)

b)

C

D

A B

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Example 4: △ 𝐴𝐵𝐶 is shown below. Determine if the triangle shown below is an equilateral triangle. Justify your answer.

Example 5: Margie has three cats. She has heard that cats in a room position themselves at equal distances from one another and wants to test that theory. Margie notices that Simon, her tabby cat, is in the center of her bed (at S), while JoJo, her Siamese, is lying on her desk chair (at J). If the theory is true, where will she find Mack, her calico cat? Use the scale drawing of Margie’s room shown below, together with (only) a compass and straightedge. Place an M where Mack will be if the theory is true.

Practice - NYTS (Now You Try Some)

1. Construct equilateral XYZ with all sides the same length as segment YZ shown below.

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2. Which diagram shows the construction of an equilateral triangle?

(1) (2) (3) (4)

3. On the ray drawn below, using a compass and straightedge, construct an equilateral triangle with a vertex at R. The length of a side of the triangle must be equal to a length of the diagonal of rectangle ABCD.

(HINT: Start by placing pointer of compass on A and open slider to C, then move pointer to R and begin).

4. During today’s lesson we saw two different scenarios where we used the construction of an equilateral triangle to help determine a needed location (i.e., the friends playing catch in the park and the sitting cats). Can you think of another scenario where the construction of an equilateral triangle might be useful?

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Challenge Questions 1. Construct THREE equilateral triangles, where the first and second triangles share a common side, and the second and third triangles share a common side. 2. Using a compass & ruler, construct a regular hexagon (6-sided shape consisting of 6 equilateral triangles).

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Name: __________________________________________________ Date: ______________ Day 3: Bisect an Angle CC Geometry (M1 – L3)

Opening Exercise: a) Using a compass and straightedge, on the diagram below of , construct an equilateral triangle

with as one side and label the third vertex T. [Leave all construction marks.]

b) Explain what you know about the length sides and the measures of the angles of𝛥𝑅𝑆𝑇.

----------------------------------------------------------------------------------------------------------------------------------------------------------------

Term Definition Symbol/Notation

Angle Bisector

A ray that cuts an angle in _______ . (Two ____________ angles)

Arc

A part of the ______________________ of a circle.

Types of Angles

Acute

--------------------------------------------

Obtuse

--------------------------------------------

Straight --------------------------------------------

Right

An angle that measures ______ than 90o. -------------------------------------------------------- An angle that measures _________ than 90o and _____ than 180o. --------------------------------------------------------- An angle that measures exactly _______ . --------------------------------------------------------- An angle that measures exactly _______ .

------------------------------------------------ ------------------------------------------------ ------------------------------------------------

D

C

A

B

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Example 1: Given four possible correct names for the given angle.

---------------------------------------------------------------------------------------------------------------------------------------------------------------- Bisecting an Angle Construction

Video-------------------------------------------------------------------------------------------------------------------------------------------------------- Example 1: Construct the angle bisector for each angle below.

a) b) Given the angle In part a measures 90o, what is the measure of each bisected angle?

c) d) Bisect EDC

A

1C

A

B

(a) Given an angle. (b) Create an arc of any

size, such that it

intersects both rays of

the angle. Label those

points B and C.

(c) Leaving the compass the

same measurement, place

your pointer on point B and

create an arc in the interior

of the angle.

(e) Create AD . AD

is the angle bisector.

C

A

B

(d) Do the same as step (c)

but placing your pointer at

point C. Label the

intersection D.

C

A

B

D

C

A

B

D

C

A

B

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e) f) Given the angle in part e measures 180o, what is the measure of each bisected angle?

Practice - NYTS (Now You Try Some) 1. Bisect each angle below.

2. a) On the diagram below, use a compass and straightedge to construct the bisector of . Label it YA . [Leave all

construction marks.]

b) What do you know about XYA and ZYA ? Explain.

*3. Which diagram shows the construction of a 45° angle?

(1) (2) (3) (4)

A

A

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Name: __________________________________________________ Date: ______________ Day 3&4LabLesson: Bisecting Segments and Angles & Geometry Terms Socrative CC Geometry (M1 – L3)

Bisecting Segments and Angles

http://www.mathgames.com/skill/8.111-measures-of-bisected-lines-and-angles

Socrative Geometry Terms

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15

16

17

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Name: __________________________________________________ Date: ______________ Day 4: Copy an Angle CC Geometry (M1 – L3) Opening Exercises: 1. Using a compass and straightedge, construct a 60o angle at R.

2. A straightedge and compass were used to create the construction below. Arc EF was drawn from point B, and arcs

with equal radii were drawn from E and F. Which statement is false?

1) 3)

2)

4)

----------------------------------------------------------------------------------------------------------------------------------------------------------------

Term Definition Symbol/Notation

Congruent

Same ______ and _______.

(Geometry version of ______ )

≅

Line

A set of connected points extending

__________________ in both directions.

(Cannot be measured)

Parallel Lines

Lines that never _________________.

Copying an Angle Construction

A

A'

C

A

A'

B

B'

C

A

A'

B

C'

B'

C

A

A'

B

C'

B'

C

A

A'

B

(e) Draw the ray

' 'A C . The angle

has been copied.

(a) Given an angle

and a ray.

(b) Create an arc of any

size, such that it intersects

both rays of the angle.

Label those points B and C.

(c) Create the same arc

by placing your pointer

at A’. The intersection

with the ray is B’.

(d) Place your compass at

point B and measure the

distance from B to C. Use

that distance to make an arc

from B’. The intersection of

the two arcs is C’.

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A'

Example 1: a) Copy the angle shown below.

b)What can you say about the measure of angle A ( m A ) and the measure of angle A’ ( 'm A )? Explain your answer.

Example 2: Using a compass and straightedge, construct a copy of .

Practice - NYTS (Now You Try Some) Directions: Copy the angles below.

1. Given ABC . Make a copy of ABC , ' ' 'A B C .

A

B

C

E

B'

A

B’

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D F

E

2. Given DEF . Make a copy of DEF , ' ' 'D E F .

----------------------------------------------------------------------------------------------------------------------------------------------------------------

Example 2: Given ABC, can you think of a way to create a line parallel to AB through point C? (Hint: How could

copying an angle help you?)

Practice - NYTS (Now You Try Some)

3. Create a parallel line to DE through point F.

D

E

F

BC

A

E'

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Name:__________________________________________________________ Date:_______________ Day 5: Construct a Perpendicular Bisector Geometry CC(M1L4)

Opening Exercise: Using a compass and straightedge, construct the bisector of .

--------------------------------------------------------------------------------------------------------------------------------------------------

Term Definition Diagram/Notation

Perpendicular Lines

Two lines that intersect and form a ______ angle at their point of intersection.

Bisector (of a segment)

A line that cuts a segment in ____.

Midpoint

A point that cuts a segment in ___.

Perpendicular Bisector

A line that forms a _____ angle at the point of intersection and cuts the segment in _____.

Equidistant

Equal __________

Median

A segment connecting the vertex of a triangle to the ______________ of the opposite side.

Altitude

A segment connecting the vertex of a triangle that is______________ to the opposite side.

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A B

Construct the perpendicular bisector of a line segment

(a) Given AB --------------------------------------------------------------------------------------------------------------------------------------------------

Example 1: a) Construct the perpendicular bisector of AB , label it YZ , and label the midpoint, M, of AB .

b) What’s true about the relationship between the lengths of AY and BY ?

c) What’s true about the relationship between the lengths of AZ and BZ ?

d)What can be said in general about the relationship between points on a perpendicular bisector to the endpoints of the bisected segment?

(b) Place your pointer

at A, extend your

compass so that the

distance reaches B.

(c) Without changing

your compass

measurement, place

your point at B and

create the same arc.

The two arcs will

intersect. Label those

points C and D.

M

D

C

A

B

(d) Place your

straightedge on the

paper and createCD .

(e) CD is the

perpendicular

bisector of AB .

M

D

C

A

B

D

C

A

B

A

B

A

B

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Practice NYTS (Now You Try Some) 1.Construct the perpendicular bisector of each segment below.

2. Construct the perpendicular bisector of AC .

3. a) Find and label the midpoint of 𝐵𝐶̅̅̅̅ with the letter M.

b) Connect M to vertex A. What is vocabulary term for this segment?

A

B CD

A

B C

B C

A

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Construct a Perpendicular Line Through a Point Not on the Line

Example 2: Using a compass and straightedge, construct a line that passes through point P and is perpendicular to line m. [Leave all construction marks.]

Practice NYTO (Now You Try One!)

Using a compass and straightedge, construct a line perpendicular to line through point P. [Leave all construction marks.]

Example 3: a) Using a compass and straightedge, construct a perpendicular line from vertex A to BC . [Leave all construction marks.]

b) What is vocabulary term for this segment?

B C

A

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Name: ________________________________________________ Date: __________ Day 5and6 LabLesson: Constructions Practice CC Geometry (M1) Opening Exercises: Using a compass and straightedge, construct the following: a)Equilateral Triangle b) Angle Bisector

c) Copy an Angle d) Perpendicular Bisector

e) Using a compass and straightedge, construct the line that is perpendicular to and that passes through point P.

Show all construction marks.

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Mixed Practice! Fill in the puzzle below using the vocabulary listed in the word bank.

Word Bank:

Collinear Angle Bisector

Obtuse Ray Isosceles

Midpoint Acute Segment

Perpendicular Straight Radius

Construction Circle Equidistant Equilateral

ACROSS 3. An angle measuring more than 90 and less than 180 degrees 5. A part of a line starting at one endpoint and going on forever through the other point on the line 6. Two noncollinear rays with a common endpoint form an _________ 8. A triangle with all sides and all angles congruent 10. A point that divides a line segment into two congruent halves 12. An angle less than 90 degrees 13. Points that lie on the same line 14. Lines that form a right angle 15. An angle measuring 180 degrees 16. A set of instructions for drawing points, lines,

circles and figures in a plane

DOWN 1. A figure with a center point and all points the same distance away from the center 2. Point B is said to be ___________ from A and B if AB=BC 4. A part of a line between two endpoints 7. The distance from the center of the circle to any point on the circumference 9. A ray that divides an angle into two congruent parts 11. A triangle with two equal legs and two equal base angles

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Name: ________________________________________________________________ Date: __________ Day 6: Constructions and Basic Notation Mixed Practice CC Geometry (M1TA) Part I: Determine whether the following are (T)rue or (F)alse. 1. An example of an acute angle would be an angle measuring 100o. T or F 2. Perpendicular lines create 90o angles at their point of intersection. T or F

3. A correct name for the angle shown to the right could be MJH. T or F 4. All angles in an equilateral triangle measure 90o. T or F 5. In a geometric construction the ruler is used to take measurements T or F 6. Match the sides and angles described below with the correct notation in the below triangle diagram. _______ A. The side with a single hash mark.

_______ B. The side with 2 hash marks.

_______ C. The side with 3 hash marks.

_______ D. The right angle marked with a small square.

_______ E. The angle marked with a single arc.

_______ F. The angle marked with 2 arcs.

7. A teacher finds a paper on the ground in the classroom. When she looks at it carefully she realizes it is from her

geometry class because it has a construction on it. Which of the following constructions is NOT FOUND directly from

this student’s work?

1) The midpoint of AB 3) The perpendicular bisector of AB

2) A perpendicular line to AB 4) The angle bisector of CAB

Notation

1. 𝐽𝐾̅̅ ̅ 4. < 𝐼𝐽𝐾

2. 𝐼𝐾̅̅ ̅ 5. < 𝐽𝐾𝐼

3. 𝐽�̅� 6. < 𝐽𝐼𝐾

D

C

A

B

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8. Based on the construction below, which statement must be true?

1)

2) 3) 4)

9. What is the best description for the distance from Point A to Point B?

1) CD + 2EF 2) CD - EF 3) 2CD - EF 4) 2CD + EF

10. ABC is shown below. Is it an equilateral triangle? Explain your response.

11. Given ABC, construct a copy of it on the line below, label it XYZ.

B C

A

B

A

C D E F

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12. Using a compass and a straightedge, construct the bisector of . [Leave all construction marks.]

13. Create a parallel line to 𝐴𝐵̅̅ ̅̅ through point C by copying ABC.

14. Using a compass and straightedge, construct a perpendicular line(altitude) from vertex A to 𝐵𝐶̅̅ ̅̅ . [Leave all

construction marks.]

B C

A

BC

A

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15. Construct the following.

• A) Construct the perpendicular bisector of 𝐶𝐷̅̅ ̅̅ , label the perpendicular bisector XY .

• B) Bisect BCD, label the bisector 𝐶𝑍⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ .

16. Using a compass and straightedge, construct an equilateral triangle with as a side. Using this triangle, construct

a 30° angle with its vertex at A. [Leave all construction marks.]