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Biblioteka

6.3 Geometry Basics (Due 3/13/2024)

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Posljednje ažuriranje 4 months ago
32 questions
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Part 3 : Using Algebra

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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.

Pitanje 1
1.

What type of angle is formed by a straight line?

Pitanje 2
2.

What is an angle between 90 and 180 degrees called?

Pitanje 3
3.

What type of angle measures between 0 and 90 degrees?

Pitanje 4
4.

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

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

Two angles that are

adjacent and supplementary.

They form astraight line!

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Vertical angles

Any two angles whose sum is 90°

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Supplementary angles

Two angles across from each other on intersecting lines. They share a vertex and they are always congruent!

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Complementary angles

Two angles that share a vertex and

a common side. They are next to each other

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Linear pairs

Any two angles whose sum is 180°

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Adjacent Angles

Pitanje 5
5.

Select all the adjacent angles to ∠1

Pitanje 6
6.

Select all the vertical angles to ∠1

Pitanje 7
7.

Select all the supplemental angles to ∠1

Pitanje 8
8.

Select all the adjacent angles to ∠7

Pitanje 9
9.

Select all the vertical angles to ∠7

Pitanje 10
10.

What is the value of x?

What kind of angles are these angles an examples of?

Pitanje 11
11.

What is the value of x?

What kind of angles are these angles an examples of?

Pitanje 12
12.

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

x°=

y°=

z°=

Pitanje 13
13.

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

x°=

y°=

z°=

Part 2: Finding Measures of Angles with a Protractor

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Pitanje 14
14.

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?=

Pitanje 15
15.

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?=

Pitanje 16
16.

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?=

Pitanje 17
17.

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?=

Pitanje 18
18.

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?=

Pitanje 19
19.

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?=

Pitanje 20
20.

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?=

Pitanje 21
21.

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?=

Pitanje 22
22.

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

Pitanje 23
23.

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

Pitanje 24
24.

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

m∠MQN=

m∠NQP=

Pitanje 25
25.

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

Pitanje 26
26.

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

Pitanje 27
27.

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

m∠CAB=

m∠CAD=

Pitanje 28
28.

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. Subtract 3x from both sides of the equation

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

  4. Add 25 to both sides of the equation

  5. Divide both sides of the equation by 3

  6. x=24

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

Pitanje 29
29.

What is the m∠SQR=?

Pitanje 30
30.

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

Pitanje 31
31.

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

Pitanje 32
32.

Use the answer from the previous problem.

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