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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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
Required
5 points
5
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.
Required
2 points
2
Question 16
16.
Name the four collinear points. (They have to be collinear to each other)
Required
5 points
5
Question 17
17.
Name a line that contains point M.
Required
8 points
8
Question 18
18.
Using the diagram to the left, which lettered example(s) show lines?
Required
8 points
8
Question 19
19.
Using the diagram to the left, which lettered example(s) show a ray?
Required
2 points
2
Question 20
20.
Using the diagram to the left, which lettered example(s) show a line segment?
Required
2 points
2
Question 21
21.
Using the diagram to the left, which lettered example(s) show parallel lines?
Required
4 points
4
Question 22
22.
Which angle(s) to the left are obtuse?
Required
2 points
2
Question 23
23.
Which angle(s) to the left are acute?
Required
2 points
2
Question 24
24.
Which angle(s) to the left are right angles?
Day 2 4/4/23
Angles part 1
Required
20 points
20
Question 25
25.
Use the video above to complete the note on Angles
Use this example to answer the following questions
Required
5 points
5
Question 26
26.
Name the vertex of the angle.
Required
10 points
10
Question 27
27.
Name the sides of the angle.
_______
_______
Required
15 points
15
Question 28
28.
Give three ways to name the angle.
_______
_______
_______
Required
5 points
5
Question 29
29.
Classify the angle.
Use this example to answer the following questions
Required
5 points
5
Question 30
30.
Name the vertex of the angle.
Required
10 points
10
Question 31
31.
Name the sides of the angle.
_______
_______
Required
15 points
15
Question 32
32.
Give three ways to name the angle.
_______
_______
_______
Required
5 points
5
Question 33
33.
Classify the angle.
Angles part 2
Required
30 points
30
Question 34
34.
Use the video above to complete the note on Angles
Use this example to answer the following questions
Required
5 points
5
Question 35
35.
Write another name for ∠CBF.
Required
10 points
10
Question 36
36.
Name the sides of ∠EBD.
_______
_______
Required
5 points
5
Question 37
37.
Classify ∠ABC.
Required
5 points
5
Question 38
38.
Give an example of an obtuse angle.
Required
10 points
10
Question 39
39.
Name two congruent angles.
_______
_______
Use this example to answer the following questions
Required
5 points
5
Question 40
40.
Name the vertex of ∠2
Required
5 points
5
Question 41
41.
Name the vertex of ∠4
Required
5 points
5
Question 42
42.
Write another name for ∠3.
Required
5 points
5
Question 43
43.
Write another name for ∠1.
Required
5 points
5
Question 44
44.
Classify ∠YTW.
Required
5 points
5
Question 45
45.
Classify ∠YTU.
Required
5 points
5
Question 46
46.
Classify ∠XTU.
Required
5 points
5
Question 47
47.
Classify ∠WTX.
Required
10 points
10
Question 48
48.
Name two perpendicular lines.
_______
_______
Required
5 points
5
Question 49
49.
Name an angle bisector.
Day 3 4/6/23
Required
5 points
5
Question 50
50.
What type of angle is formed by a straight line?
Required
5 points
5
Question 51
51.
What is an angle between 90 and 180 degrees called?
Required
10 points
10
Question 52
52.
What type of angle measures between 0 and 90 degrees?
Required
20 points
20
Question 53
53.
Watch the video and complete the notes of this section.
Required
10 points
10
Question 54
54.
Match the definition of the angle relationship with the angle relationships it describes...
Draggable item
arrow_right_alt
Corresponding Item
Any two angles whose sum is 90°
arrow_right_alt
Vertical angles
Two angles that share a vertex and
a common side. They are next to each other
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
Two angles that are
adjacent and supplementary.
They form astraight line!
arrow_right_alt
Linear pairs
Any two angles whose sum is 180°
arrow_right_alt
Adjacent Angles
Required
10 points
10
Question 55
55.
Select all the adjacent angles to ∠1
Required
10 points
10
Question 56
56.
Select all the vertical angles to ∠6
Required
5 points
5
Question 57
57.
What is the value of x?
Required
5 points
5
Question 58
58.
What is the value of x?
Required
15 points
15
Question 59
59.
What are the values of x, y, and z?
x°=_______
y°=_______
z°=_______
Required
15 points
15
Question 60
60.
What is the values of x, y, and z?
x°=_______
y°=_______
z°=_______
Day 4 4/11/23
Required
10 points
10
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?=_______
Required
10 points
10
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?=_______
Required
10 points
10
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?=_______
Required
10 points
10
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?=_______
Required
10 points
10
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?=_______
Required
10 points
10
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?=_______
Required
10 points
10
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?=_______
Required
10 points
10
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?=_______
Required
10 points
10
Question 69
69.
If m∠UVX= 76 and m∠XVW= 64, what is the measure of m∠UVW?
Required
10 points
10
Question 70
70.
If m∠GHJ= 27 and m∠GHK= 87, what is the measure of m∠JHK?
Required
20 points
20
Question 71
71.
Use the figure below to answer question. Let m∠MQP= 80.
m∠MQN=_______
m∠NQP=_______
Required
10 points
10
Question 72
72.
If m∠PQT =109° and m∠SQR = (4x – 15)°, find the value of x.
Required
20 points
20
Question 73
73.
Use the figure below to answer questions. Let m∠DAB= 136.
m∠CAB=_______
m∠CAD=_______
Required
10 points
10
Question 74
74.
If m∠PQT =109° what is the measure of m∠TQR?
Required
14 points
14
Question 75
75.
What is the correct order of steps to solve this problem?
Subtract 3x from both sides of the equation
x=24
6(24)-25=119; therefore the m∠SQR=119°
Add 25 to both sides of the equation
Substitute 24 for x into 6x-25 to find out what the m∠SQR equals
Divide both sides of the equation by 3
Make 3x+47 equal to 6x-25; because vertical angles are equal
Required
10 points
10
Question 76
76.
What is the m∠SQR=?
Required
10 points
10
Question 77
77.
If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of x.
Required
10 points
10
Question 78
78.
Use the answer from the previous problem to find the measure of ∠GEF.
Required
10 points
10
Question 79
79.
If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of y.
