6.4 Geometry Basics (Due 3/12/24)

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.

Required

5

What type of angle is formed by a straight line?

Required

5

What is an angle between 90 and 180 degrees called?

Required

10

What type of angle measures between 0 and 90 degrees?

Required

10

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

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

Required

10

Select all the adjacent angles to ∠1

Required

10

Select all the vertical angles to ∠1

Required

10

Select all the adjacent angles to ∠7

Required

10

Select all the supplemental angles to ∠1

Required

10

Select all the vertical angles to ∠7

Required

10

What is the value of x?_______ 

What kind of angles are these angles an examples of?_______ 

Required

5

What is the value of x?_______ 

What kind of angles are these angles an examples of?_______

Required

15

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

x°=_______ 
y°=_______ 
z°=_______

Required

15

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


x°=_______ 
y°=_______ 
z°=_______ 

Part 2: Finding Measures of Angles with a Protractor

Required

10

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

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

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

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

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

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

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

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?=_______

Part 3 : Using Algebra

Required

10

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

Required

10

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

Required

20

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

m∠MQN=_______ 

m∠NQP=_______

Required

10

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

Required

10

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

Required

20

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

m∠CAB=_______ 

m∠CAD=_______

Required

14

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

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

Required

10

What is the m∠SQR=?

Required

10

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

Required

10

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

Required

10

What type of angle is formed by a straight line?

What is an angle between 90 and 180 degrees called?

What type of angle measures between 0 and 90 degrees?

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

Select all the adjacent angles to ∠1

Select all the vertical angles to ∠1

Select all the adjacent angles to ∠7

Select all the supplemental angles to ∠1

Select all the vertical angles to ∠7

Part 2: Finding Measures of Angles with a Protractor

m∠AXB

m∠CXG

m∠DXA

m∠FXC

m∠AXG

m∠CXD

m∠BXF

m∠EXA

Part 3 : Using Algebra

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

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

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

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

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

What is the m∠SQR=?

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

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

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.

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.