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 3/10/23
Angles part 1
Required
20 points
20
Question 1
1.
Use the video above to complete the note on Angles
Use this example to answer the following questions
Required
5 points
5
Question 2
2.
Name the vertex of the angle.
Required
10 points
10
Question 3
3.
Name the sides that make the angle.
_______
_______
Required
15 points
15
Question 4
4.
What are the three ways to name the angle?
_______
_______
_______
Required
5 points
5
Question 5
5.
Which best describes the angle: acute, obtuse, right, or straight?
Use this example to answer the following questions
Required
5 points
5
Question 6
6.
In the diagram, the point where the two rays meet is known as the vertex.
What is the vertex?
Required
10 points
10
Question 7
7.
Name the sides that make the angle.
_______
_______
Required
15 points
15
Question 8
8.
What are the three ways to name the angle?
_______
_______
_______
Required
5 points
5
Question 9
9.
Which best describes the angle: acute, obtuse, right, or straight?
Angles part 2
Required
30 points
30
Question 10
10.
Use the video above to complete the note on Angles
Use this example to answer the following questions
Required
5 points
5
Question 11
11.
What is another way to label ∠CBF.
Required
10 points
10
Question 12
12.
Name the sides of ∠EBD.
_______
_______
Required
5 points
5
Question 13
13.
Classify ∠ABC. Is it acute, right, obtuse, or straight?
Required
5 points
5
Question 14
14.
Give an example of an obtuse angle.
Required
10 points
10
Question 15
15.
Name two congruent angles.
_______
_______
Use this example to answer the following questions
Required
5 points
5
Question 16
16.
Name the vertex of ∠2
Required
5 points
5
Question 17
17.
Name the vertex of ∠4
Required
5 points
5
Question 18
18.
Write another name for ∠3.
Required
5 points
5
Question 19
19.
What is another way to name ∠1.
Required
5 points
5
Question 20
20.
Classify ∠YTW. Is it acute, right, obtuse, or straight?
Required
5 points
5
Question 21
21.
Classify ∠YTU. Is it acute, right, obtuse, or straight?
Required
5 points
5
Question 22
22.
Classify ∠XTU. Is it acute, right, obtuse, or straight?
Required
5 points
5
Question 23
23.
Classify ∠WTX. Is it acute, right, obtuse, or straight?
Required
10 points
10
Question 24
24.
Name two perpendicular lines.
_______
_______
Required
5 points
5
Question 25
25.
Name an angle bisector.
Required
5 points
5
Question 26
26.
What type of angle is formed by a straight line? Acute, right, obtuse, or straight?
Required
5 points
5
Question 27
27.
What is an angle between 90 and 180 degrees called?
Required
10 points
10
Question 28
28.
What type of angle measures between 0 and 90 degrees?
Required
10 points
10
Question 29
29.
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 30
30.
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 31
31.
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 32
32.
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 33
33.
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 34
34.
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 35
35.
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 36
36.
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?=_______
Day 2 3/11/25
Required
20 points
20
Question 37
37.
Watch the video and complete the notes of this section.
Required
10 points
10
Question 38
38.
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
Any two angles whose sum is 180°
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 share
a common side. They are next to each other
arrow_right_alt
Linear pairs
Two angles that are
adjacent and supplementary.
They form astraight line!
arrow_right_alt
Adjacent angles
Required
10 points
10
Question 39
39.
Select all the adjacent angles to ∠1
Required
10 points
10
Question 40
40.
Select all the vertical angles to ∠6
Required
5 points
5
Question 41
41.
What is the value of x?
Required
5 points
5
Question 42
42.
What is the value of x?
Required
15 points
15
Question 43
43.
Find the measure of angle a
_______ °
Find the measure of angle b
_______°
Find the measure of angle c
_______ °
Required
15 points
15
Question 44
44.
Find the measure of angle a
_______ °
Find the measure of angle b
_______°
Find the measure of angle c
_______ °
Required
15 points
15
Question 45
45.
What are the values of x, y, and z?
x°=_______
y°=_______
z°=_______
Required
15 points
15
Question 46
46.
What is the values of x, y, and z?
x°=_______
y°=_______
z°=_______
Finding Missing Angles and The Angle Addition
Postulate
Required
10 points
10
Question 47
47.
Find m∠QVW
_______ °
Required
10 points
10
Question 48
48.
Find m∠IJV
_______ °
Required
10 points
10
Question 49
49.
If m∠UVX= 76 and m∠XVW= 64, what is the measure of m∠UVW?
Required
10 points
10
Question 50
50.
If m∠GHJ= 27 and m∠GHK= 87, what is the measure of m∠JHK?
Required
20 points
20
Question 51
51.
Use the figure below to answer question. Let m∠MQP= 80.
m∠MQN=_______
m∠NQP=_______
10 points
10
Question 52
52.
If m∠PQT =109°
What is the value of x?
_______
What is the measure of m∠TQR?
_______°
Required
20 points
20
Question 53
53.
Use the figure below to answer questions. Let m∠DAB= 136.
m∠CAB=_______
m∠CAD=_______
Required
14 points
14
Question 54
54.
What is the correct order of steps to solve this problem?
Add 25 to both sides of the equation
Subtract 3x from both sides of the equation
6(24)-25=119; therefore the m∠SQR=119°
x=24
Divide both sides of the equation by 3
Make 3x+47 equal to 6x-25; because vertical angles are equal
Substitute 24 for x into 6x-25 to find out what the m∠SQR equals
