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.
Use the video above to complete the note on Angles
Use this example to answer the following questions
Name the vertex of the angle.
Name the sides that make the angle.
What are the three ways to name the angle?
Which best describes the angle: acute, obtuse, right, or straight?
Use this example to answer the following questions
In the diagram, the point where the two rays meet is known as the vertex.
What is the vertex?
Name the sides that make the angle.
What are the three ways to name the angle?
Which best describes the angle: acute, obtuse, right, or straight?
Use the video above to complete the note on Angles
Use this example to answer the following questions
What is another way to label ∠CBF.
Name the sides of ∠EBD.
Classify ∠ABC. Is it acute, right, obtuse, or straight?
What type of angle is formed by a straight line? Acute, right, obtuse, or straight?
What is an angle between 90 and 180 degrees called?
What type of angle measures between 0 and 90 degrees?
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.
m∠AXBMeasure of the angle=
What kind of angle is it?=
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.
m∠CXGMeasure of the angle=
What kind of angle is it?=
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.
m∠DXAMeasure of the angle=
What kind of angle is it?=
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.
m∠FXCMeasure of the angle=
What kind of angle is it?=
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.
m∠AXGMeasure of the angle=
What kind of angle is it?=
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.
m∠CXDMeasure of the angle=
What kind of angle is it?=
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.
m∠BXFMeasure of the angle=
What kind of angle is it?=
Use the figure below to answer question. Find the measure of each angle, then classify it as acute, right, obtuse, or straight.
m∠EXAMeasure of the angle=
What kind of angle is it?=
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 |
Two angles that are adjacent and supplementary. They form astraight line! | arrow_right_alt | Supplementary angles |
Two angles that share a common side. They are next to each other | arrow_right_alt | Complementary angles |
Two angles across from each other on intersecting lines. They share a vertex and they are always congruent! | arrow_right_alt | Linear pairs |
Any two angles whose sum is 180° | arrow_right_alt | Adjacent angles |
Select all the adjacent angles to ∠1
Select all the vertical angles to ∠6
What is the value of x?
What is the value of x?
Find the measure of angle a
Find the measure of angle b
Find the measure of angle c
Find the measure of angle a
Find the measure of angle b
Find the measure of angle c
What are the values of x, y, and z?
x°=
y°=
z°=
What is the values of x, y, and z?
x°=
y°=
z°=
Give an example of an obtuse angle.
Name two congruent angles.
Use this example to answer the following questions
Name the vertex of ∠2
Name the vertex of ∠4
Write another name for ∠3.
What is another way to name ∠1.
Classify ∠YTW. Is it acute, right, obtuse, or straight?
Classify ∠YTU. Is it acute, right, obtuse, or straight?
Classify ∠XTU. Is it acute, right, obtuse, or straight?
Classify ∠WTX. Is it acute, right, obtuse, or straight?
Name two perpendicular lines.
Name an angle bisector.
Find m∠QVW
Find m∠IJV
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?
Use the figure below to answer question. Let m∠MQP= 80.
m∠MQN=
m∠NQP=
If m∠PQT =109°
What is the value of x?
What is the measure of m∠TQR?
Use the figure below to answer questions. Let m∠DAB= 136.
m∠CAB=
m∠CAD=
What is the correct order of steps to solve this problem?
6(24)-25=119; therefore the m∠SQR=119°
Make 3x+47 equal to 6x-25; because vertical angles are equal
x=24
Subtract 3x from both sides of the equation
Divide both sides of the equation by 3
Add 25 to both sides of the equation
Substitute 24 for x into 6x-25 to find out what the m∠SQR equals
What is the m∠SQR=?
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
