Use the diagram above for questions 1 – 3. 1. Identify the linear pair(s) that include ∠12. Identify the vertical angles. 3. Are ∠6 and ∠7a linear pair? Explain. 4. Given diagram with AC! "##and DB! "##intersecting at L. Determine m∠DLAB C L A 5x+ 10 10y- 30 3x+ 2y
Geometry
Date:
09/18/2017
.
.
D

For each of the following problems, read through the given and determine what conclusion directly follows the given. Write and justify your conclusion using an if…then…becausestatement. Be sure to label your diagrams.
1. Given:
BC
bisects
AD
at C.
Conclusion:
If
BC
bisects
AD
at C, then
AC
≅
CD
because when a segment bisects another segment it
creates two congruent segments.
2. Given:
Diagram
Conclusion:
If
∠
1 and
∠
2
are vertical, then
∠
1
≅ ∠
2
because vertical angles are congruent.
3. Given:
AB
⊥
DC
Conclusion:
If
AB
⊥
DC
, then
∠
ABC
is right because perpendicular segments form a right angle.
2
1
B
D
C
A
C
A
B
D