Download Midsegments of Triangles

Exploring Angle Pairs
Geometry
Date
Name
Adjacent Angles –
Vertical Angles –
Complementary Angles –
Supplementary Angles –
Linear Pair -
If two angles form a __________________________________________, then they are
__________________________________.
Angle Bisector - A ray that divides an angle into two congruent angles.
BD bisects ABC .
A
D
B
C
__________ = __________
__________  __________
1. Use the diagram at the right. Is the statement true? Explain.
a) BFD and CFD are adjacent angles.
b) AFB and EFD vertical angles.
c) AFE and BFC are complementary.
d) BFC and DFE are supplementary.
2. Can you make each conclusion from the information in the diagram? Explain.
a) TW  WV
b) PW  WQ
c) TWQ is a right angle.
d) TV bisects PQ
e) PWT and QWV are vertical angles.
f) PWT and PWV are adjacent angles.
3. KPL and JPL are a linear pair, mKPL = 2x + 24, and mJPL = 4x + 36.
What are the measures of KPL and JPL ? Justify and explain.
4. AC bisects DAB . If mDAC = 58, what is mDAB . Justify and explain.
Reflection:
1. Match each word in Column A to the angles in Column B.
Column A
A. Supplementary
Column B
E. 1 and 2
B. Adjacent
F. 2 and 3
C. Vertical
G. 2 and 5
D. Complementary
H. 3 and 6