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...
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
Two angles that are adjacent and supplementary. They form astraight line! | arrow_right_alt | Vertical angles |
Two angles that share a vertex and a common side. They are next to each other | 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 |
Any two angles whose sum is 180° | arrow_right_alt | Linear pairs |
Any two angles whose sum is 90° | arrow_right_alt | Adjacent Angles |
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
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?
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°
x=24
Substitute 24 for x into 6x-25 to find out what the m∠SQR equals
Add 25 to both sides of the equation
Subtract 3x from both sides of the equation
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.