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Laabri

Copy of Longer Version 6.1 Geometry Basics (Due 3/6/24) (3/11/2024)

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79 Nsɛmmisa

Day 1 4/3/23

Part 1: Concepts

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Part 2: Applications

Day 2 4/4/23

Angles part 1

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Angles part 2

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Day 3 4/6/23

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Day 4 4/11/23

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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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Use the diagram to the below to name the following.

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4.G.1
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Asemmisa {{asɛmmisaAhyɛnsode}}
25.

Use the video above to complete the note on Angles

Use this example to answer the following questions

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Asemmisa {{asɛmmisaAhyɛnsode}}
26.

Name the vertex of the angle.

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Asemmisa {{asɛmmisaAhyɛnsode}}
27.

Name the sides of the angle.

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Asemmisa {{asɛmmisaAhyɛnsode}}
28.

Give three ways to name the angle.

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Asemmisa {{asɛmmisaAhyɛnsode}}
29.

Classify the angle.

Use this example to answer the following questions

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Asemmisa {{asɛmmisaAhyɛnsode}}
30.

Name the vertex of the angle.

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Asemmisa {{asɛmmisaAhyɛnsode}}
31.

Name the sides of the angle.

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Asemmisa {{asɛmmisaAhyɛnsode}}
32.

Give three ways to name the angle.

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Asemmisa {{asɛmmisaAhyɛnsode}}
33.

Classify the angle.

Asemmisa {{asɛmmisaAhyɛnsode}}
34.

Use the video above to complete the note on Angles

Use this example to answer the following questions

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Asemmisa {{asɛmmisaAhyɛnsode}}
35.

Write another name for ∠CBF.

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Asemmisa {{asɛmmisaAhyɛnsode}}
36.

Name the sides of ∠EBD.

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Asemmisa {{asɛmmisaAhyɛnsode}}
37.

Classify ∠ABC.

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Asemmisa {{asɛmmisaAhyɛnsode}}
50.

What type of angle is formed by a straight line?

Asemmisa {{asɛmmisaAhyɛnsode}}
51.

What is an angle between 90 and 180 degrees called?

Asemmisa {{asɛmmisaAhyɛnsode}}
52.

What type of angle measures between 0 and 90 degrees?

Asemmisa {{asɛmmisaAhyɛnsode}}
53.

Watch the video and complete the notes of this section.

Asemmisa {{asɛmmisaAhyɛnsode}}
54.

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

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

Two angles that share a vertex and

a common side. They are next to each other

arrow_right_alt

Linear pairs

Any two angles whose sum is 180°

arrow_right_alt

Adjacent Angles

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55.

Select all the adjacent angles to ∠1

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56.

Select all the vertical angles to ∠6

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57.

What is the value of x?

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58.

What is the value of x?

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59.

What are the values of x, y, and z?

x°=

y°=

z°=

Asemmisa {{asɛmmisaAhyɛnsode}}
60.

What is the values of x, y, and z?

x°=

y°=

z°=

Asemmisa {{asɛmmisaAhyɛnsode}}
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?=

Asemmisa {{asɛmmisaAhyɛnsode}}
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?=

Asemmisa {{asɛmmisaAhyɛnsode}}
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?=

Asemmisa {{asɛmmisaAhyɛnsode}}
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?=

Asemmisa {{asɛmmisaAhyɛnsode}}
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?=

Asemmisa {{asɛmmisaAhyɛnsode}}
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?=

Asemmisa {{asɛmmisaAhyɛnsode}}
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?=

Asemmisa {{asɛmmisaAhyɛnsode}}
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?=

Asemmisa {{asɛmmisaAhyɛnsode}}
69.

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

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70.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
71.

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

m∠MQN=

m∠NQP=

Asemmisa {{asɛmmisaAhyɛnsode}}
72.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
73.

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

m∠CAB=

m∠CAD=

Asemmisa {{asɛmmisaAhyɛnsode}}
74.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
75.

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

  1. Substitute 24 for x into 6x-25 to find out what the m∠SQR equals

  2. Add 25 to both sides of the equation

  3. 6(24)-25=119; therefore the m∠SQR=119°

  4. Divide both sides of the equation by 3

  5. Make 3x+47 equal to 6x-25; because vertical angles are equal

  6. x=24

  7. Subtract 3x from both sides of the equation

Asemmisa {{asɛmmisaAhyɛnsode}}
76.

What is the m∠SQR=?

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77.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
78.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
79.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Name a line that contains point M.

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18.

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

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19.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

Which angle(s) to the left are obtuse?

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23.

Which angle(s) to the left are acute?

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24.

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

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38.

Give an example of an obtuse angle.

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39.

Name two congruent angles.

Use this example to answer the following questions

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40.

Name the vertex of ∠2

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41.

Name the vertex of ∠4

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42.

Write another name for ∠3.

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43.

Write another name for ∠1.

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44.

Classify ∠YTW.

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45.

Classify ∠YTU.

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46.

Classify ∠XTU.

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47.

Classify ∠WTX.

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48.

Name two perpendicular lines.

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49.

Name an angle bisector.