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6.2 Geometry Basics (Due 3/12/25)

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Last updated 10 months ago
56 questions
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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 3/10/23

Angles part 1


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Question 1
1.

Use the video above to complete the note on Angles

Use this example to answer the following questions

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Question 2
2.

Name the vertex of the angle.

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Question 3
3.
Name the sides that make the angle.

_______

_______
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Use this example to answer the following questions


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Question 6
6.

In the diagram, the point where the two rays meet is known as the vertex.

What is the vertex?

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Angles part 2

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Question 10
10.

Use the video above to complete the note on Angles

Use this example to answer the following questions



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Question 11
11.

What is another way to label ∠CBF.

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Use this example to answer the following questions


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Question 26
26.

What type of angle is formed by a straight line? Acute, right, obtuse, or straight?

Question 27
27.

What is an angle between 90 and 180 degrees called?

Question 28
28.

What type of angle measures between 0 and 90 degrees?

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?=_______


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?=_______


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?=_______


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?=_______


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?=_______


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?=_______


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?=_______


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

Question 37
37.

Watch the video and complete the notes of this section.

Question 38
38.

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

Draggable itemarrow_right_altCorresponding Item
Two angles that are
adjacent and supplementary.
They form astraight line!
arrow_right_alt
Vertical angles
Two angles across from each other on
intersecting lines. They share a vertex and they are always congruent!
arrow_right_alt
Supplementary angles
Two angles that share
a common side. They are next to each other
arrow_right_alt
Complementary angles
Any two angles whose sum is 90°
arrow_right_alt
Linear pairs
Any two angles whose sum is 180°
arrow_right_alt
Adjacent angles
Question 39
39.

Select all the adjacent angles to ∠1

Question 40
40.

Select all the vertical angles to ∠6

Question 41
41.

What is the value of x?

Question 42
42.

What is the value of x?

Question 43
43.
Find the measure of angle a
_______ °
Find the measure of angle b
_______°
Find the measure of angle c
_______ °
Question 44
44.
Find the measure of angle a
_______ °
Find the measure of angle b
_______°
Find the measure of angle c
_______ °
Question 45
45.
What are the values of x, y, and z?
x°=_______
y°=_______
z°=_______
Question 46
46.
What is the values of x, y, and z?
x°=_______
y°=_______
z°=_______

Finding Missing Angles and The Angle Addition

Postulate

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Question 4
4.
What are the three ways to name the angle?

_______

_______

_______
Question 5
5.

Which best describes the angle: acute, obtuse, right, or straight?

Question 7
7.
Name the sides that make the angle.

_______

_______
Question 8
8.
What are the three ways to name the angle?

_______

_______

_______
Question 9
9.

Which best describes the angle: acute, obtuse, right, or straight?

Question 12
12.
Name the sides of ∠EBD.

_______

_______
Question 13
13.

Classify ∠ABC. Is it acute, right, obtuse, or straight?

Question 14
14.

Give an example of an obtuse angle.

Question 15
15.
Name two congruent angles.

_______

_______
Question 16
16.

Name the vertex of ∠2

Question 17
17.

Name the vertex of ∠4

Question 18
18.

Write another name for ∠3.

Question 19
19.

What is another way to name ∠1.

Question 20
20.

Classify ∠YTW. Is it acute, right, obtuse, or straight?

Question 21
21.

Classify ∠YTU. Is it acute, right, obtuse, or straight?

Question 22
22.

Classify ∠XTU. Is it acute, right, obtuse, or straight?

Question 23
23.

Classify ∠WTX. Is it acute, right, obtuse, or straight?

Question 24
24.
Name two perpendicular lines.

_______

_______
Question 25
25.

Name an angle bisector.

Question 47
47.
Find m∠QVW
_______ °
Question 48
48.
Find m∠IJV
_______ °
Question 49
49.

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

Question 50
50.

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

Question 51
51.
Use the figure below to answer question. Let m∠MQP= 80.

m∠MQN=_______


m∠NQP=_______
Question 52
52.
If m∠PQT =109°

What is the value of x?
_______

What is the measure of m∠TQR?
_______°
Question 53
53.
Use the figure below to answer questions. Let m∠DAB= 136.

m∠CAB=_______


m∠CAD=_______
Question 54
54.

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


  1. Make 3x+47 equal to 6x-25; because vertical angles are equal
  2. Substitute 24 for x into 6x-25 to find out what the m∠SQR equals
  3. x=24
  4. Add 25 to both sides of the equation
  5. 6(24)-25=119; therefore the m∠SQR=119°
  6. Subtract 3x from both sides of the equation
  7. Divide both sides of the equation by 3
Question 55
55.

What is the m∠SQR=?

Question 56
56.
If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°.

Find the value of x
_______

Find the measure of ∠GEF
_______ °

Find the value of y
_______