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.
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?
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.
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?
Match the definition of the angle relationship with the angle relationships it describes...
| Stavka koja se može prevući | arrow_right_alt | Odgovarajuća stavka |
|---|---|---|
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?
Give an example of an obtuse angle.
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 an angle bisector.
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?
What is the correct order of steps to solve this problem?
Divide both sides of the equation by 3
Make 3x+47 equal to 6x-25; because vertical angles are equal
6(24)-25=119; therefore the m∠SQR=119°
Substitute 24 for x into 6x-25 to find out what the m∠SQR equals
Add 25 to both sides of the equation
x=24
Subtract 3x from both sides of the equation
What is the m∠SQR=?