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.
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...
| Stavka koja se može prevući | arrow_right_alt | Odgovarajuća stavka |
|---|---|---|
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 |
Select all the adjacent angles to ∠1
Select all the vertical angles to ∠1
Select all the supplemental angles to ∠1
Select all the adjacent angles to ∠7
Select all the vertical angles to ∠7
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?
Subtract 3x from both sides of the equation
Add 25 to both sides of the equation
6(24)-25=119; therefore the m∠SQR=119°
Make 3x+47 equal to 6x-25; because vertical angles are equal
Divide both sides of the equation by 3
x=24
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.
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.