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Longer Version 6.1 Geometry Basics (Due 3/6/24)

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Essential Question: What are the fundamental concepts of Geometry?

Learning Target: Students will be able to demonstrate understanding and give examples of the fundamental concepts of Geometry using their own examples.

Complete the entire assignment and show work for full credit.

Day 1 4/3/23

Part 1: Concepts

Question 1
1.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Point

Question 2
2.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Line

Question 3
3.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Line Segment

Question 4
4.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Ray

Question 5
5.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Plane

Question 6
6.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Collinear

Question 7
7.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Coplanar

Question 8
8.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Congruent

Question 9
9.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Parallel Lines

Question 10
10.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Angle

Question 11
11.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Vertex

Question 12
12.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Right Angle

Question 13
13.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Acute Angle

Question 14
14.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Obtuse Angle

Question 15
15.

Provide a definition for the basic geometry concept below. YOU MAY USE THE INTERNET TO HELP YOU, HOWEVER YOU WILL NEED TO DESCRIBE THE CONCEPT IN YOUR OWN WORDS. Then you must create an example in the workspace provided.

Define: Congruent Angles

Part 2: Applications
Use the diagram to the below to name the following.

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Day 2 4/4/23

Angles part 1


Question 25
25.

Use the video above to complete the note on Angles

Use this example to answer the following questions

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Question 26
26.

Name the vertex of the angle.

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Question 27
27.
Name the sides of the angle.

_______

_______
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Use this example to answer the following questions


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Question 30
30.

Name the vertex of the angle.

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Question 33
33.

Classify the angle.

Angles part 2

Question 34
34.

Use the video above to complete the note on Angles

Use this example to answer the following questions



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Question 35
35.

Write another name for ∠CBF.

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Use this example to answer the following questions


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Day 3 4/6/23

Question 50
50.

What type of angle is formed by a straight line?

Question 51
51.

What is an angle between 90 and 180 degrees called?

Question 52
52.

What type of angle measures between 0 and 90 degrees?

Question 53
53.

Watch the video and complete the notes of this section.

Question 54
54.

Match the definition of the angle relationship with the angle relationships it describes...

Draggable itemarrow_right_altCorresponding Item
Two angles that share a vertex and
a common side. They are next to each other
arrow_right_alt
Vertical angles
Any two angles whose sum is 90°
arrow_right_alt
Supplementary angles
Two angles across from each other on
intersecting lines. They share a vertex and they are always congruent!
arrow_right_alt
Complementary angles
Any two angles whose sum is 180°
arrow_right_alt
Linear pairs
Two angles that are
adjacent and supplementary.
They form astraight line!
arrow_right_alt
Adjacent Angles
Question 55
55.

Select all the adjacent angles to ∠1

Question 56
56.

Select all the vertical angles to ∠6

Question 57
57.

What is the value of x?



Question 58
58.

What is the value of x?




Question 59
59.
What are the values of x, y, and z?














x°=_______
y°=_______
z°=_______
Question 60
60.
What is the values of x, y, and z?


x°=_______
y°=_______
z°=_______

Day 4 4/11/23

Question 61
61.
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.

m∠AXB


Measure of the angle=_______

What kind of angle is it?=_______


Question 62
62.
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.

m∠CXG


Measure of the angle=_______

What kind of angle is it?=_______


Question 63
63.
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.

m∠DXA


Measure of the angle=_______

What kind of angle is it?=_______


Question 64
64.
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.

m∠FXC


Measure of the angle=_______

What kind of angle is it?=_______


Question 65
65.
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.

m∠AXG


Measure of the angle=_______

What kind of angle is it?=_______


Question 66
66.
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.

m∠CXD


Measure of the angle=_______

What kind of angle is it?=_______


Question 67
67.
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.

m∠BXF


Measure of the angle=_______

What kind of angle is it?=_______


Question 68
68.
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.

m∠EXA


Measure of the angle=_______

What kind of angle is it?=_______


Question 69
69.

If m∠UVX= 76 and m∠XVW= 64, what is the measure of m∠UVW?


Question 70
70.

If m∠GHJ= 27 and m∠GHK= 87, what is the measure of m∠JHK?


Question 71
71.
Use the figure below to answer question. Let m∠MQP= 80.

m∠MQN=_______


m∠NQP=_______


Question 72
72.

If m∠PQT =109° and m∠SQR = (4x – 15)°, find the value of x.

Question 73
73.
Use the figure below to answer questions. Let m∠DAB= 136.

m∠CAB=_______


m∠CAD=_______


Question 74
74.

If m∠PQT =109° what is the measure of m∠TQR?

Question 75
75.

What is the correct order of steps to solve this problem?


  1. Subtract 3x from both sides of the equation
  2. x=24
  3. 6(24)-25=119; therefore the m∠SQR=119°
  4. Add 25 to both sides of the equation
  5. Make 3x+47 equal to 6x-25; because vertical angles are equal
  6. Substitute 24 for x into 6x-25 to find out what the m∠SQR equals
  7. Divide both sides of the equation by 3
Question 76
76.

What is the m∠SQR=?

Question 77
77.

If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of x.

Question 78
78.

Use the answer from the previous problem to find the measure of ∠GEF.

Question 79
79.

If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of y.

Question 16
16.

Name the four collinear points. (They have to be collinear to each other)

Question 17
17.

Name a line that contains point M.

Question 18
18.

Using the diagram to the left, which lettered example(s) show lines?

Question 19
19.

Using the diagram to the left, which lettered example(s) show a ray?

Question 20
20.

Using the diagram to the left, which lettered example(s) show a line segment?

Question 21
21.

Using the diagram to the left, which lettered example(s) show parallel lines?

Question 22
22.

Which angle(s) to the left are obtuse?

Question 23
23.

Which angle(s) to the left are acute?

Question 24
24.

Which angle(s) to the left are right angles?

Question 28
28.
Give three ways to name the angle.

_______

_______

_______
Question 29
29.

Classify the angle.

Question 31
31.
Name the sides of the angle.

_______

_______
Question 32
32.
Give three ways to name the angle.

_______

_______

_______
Question 36
36.
Name the sides of ∠EBD.

_______

_______
Question 37
37.

Classify ∠ABC.

Question 38
38.

Give an example of an obtuse angle.

Question 39
39.
Name two congruent angles.

_______

_______
Question 40
40.

Name the vertex of ∠2

Question 41
41.

Name the vertex of ∠4

Question 42
42.

Write another name for ∠3.

Question 43
43.

Write another name for ∠1.

Question 44
44.

Classify ∠YTW.

Question 45
45.

Classify ∠YTU.

Question 46
46.

Classify ∠XTU.

Question 47
47.

Classify ∠WTX.

Question 48
48.
Name two perpendicular lines.

_______

_______
Question 49
49.

Name an angle bisector.