September 20, 2017

Geometry 2.1Name and Classify Angles

Learning Target: I can name and classify the various types of angles as well as identify congruent

angles.[G.CO.1]

angle - consists of 2 different rays with the same endpoint.

C

AB

1

- the rays are the of the angle

- the endpoint is the of the angle

1.

How do we name an angle?

Write 4 names for the angle shown...

This is different!

September 20, 2017

Classifying angles (use the degrees)- there are 4 different kinds of angles

2. Name all the angles in the diagram. Tell whether each angle appears to be acute, obtuse, right or straight.

Angle Addition PostulateIf P is in the interior of ∠RST,

then

3.

Write an equation using the angle addition postulate.

Then find m∠ABD.

September 20, 2017

4. Given that m∠LKN = 145̊ find m∠LKM and m∠MKN.Write an equation and show your work!!

5. Given that m∠KLM is a straight angle, find m∠KLN.

Two angles are congruent if they have the same measure.

6. Identify all pairs of congruent angles in the diagram.

7. In the diagram, m∠P = 84˚, m∠PQR = 130˚, and m∠S = 121˚. Find the other angle measures in the diagram.

∠R ≅ _______

m∠R = _______

September 20, 2017

An angle bisector is a ray that divides an angle into two angles that are _______________.

8. In the diagram, YW bisects ∠XYZ, and m∠XYW = 18˚. Find m∠WYZ and m∠XYZ.

9. BD bisects ∠ABC. Find m∠ABD, m∠DBC and m∠ABC.

Write an equation and show your work!!

Exit Slip:

1.

Assignment: 2.1 worksheet

Angle Summary Activity

m∠EFH = _____ m∠HFG = _____

x = _____

September 20, 2017

2.1 Wksht answers1. ∠8, ∠Q, ∠NQT, ∠TQN Q QN, QT

2. ∠4, ∠D, ∠PDC, ∠CDP D DC, DP

3. ∠QRS acute ∠SRT right ∠QRT obtuse

4. straight 5. acute6. obtuse 7. right

8. ∠DCB right9. ∠FEA obtuse10. ∠BFC acute11. ∠BFD straight

12. 99˚ 13. 65˚ 14. 101˚

15. x = 25 16. x = 20 135˚ 55˚

17. 104˚ 18. 35.5˚ 52˚ 35.5˚

19. x = 20 20. x = 10 156˚ 80˚

21. will talk about in class