Geometry
Take-Home Test Chapter 4
Name _____________________
Find the measure of the indicated angle.
1.  ABC =  DEF. Find m  E. _________
2. Polygon JKLMN = Polygon ABCDE. Find m  M. __________
For questions 3-5, use ∆ABC  ∆XYZ. For questions 3-4, write True or False.
3.
X  C ___________
5. If
4.
AC  XZ _____________
B  4x  10 and Y  2x  30 , find mY . ______________
State the postulate or theorem you would use to prove each pair of triangles congruent. If the triangles cannot be proved
congruent, write not possible.
6. __________________
7. ________________
8. __________________
9. ________________
10. ________________
11. ___________________
Find the values of the variables.
12.
13.
14.
15.
Complete the two-column proof by providing the best possible reasons.
Given:
,
is an equilateral triangle.
Prove:
Statements
Reasons
1.
1. ___________________
2.
16.
is an equilateral
.
2. ___________________
3.
3. ___________________
4.
4. ___________________
5.
5. ___________________
Complete the following two-column proof by providing the
best possible reasons.
Given:
Prove:
17.
Statements
Reasons
1.
1. _______________________
2.
2._______________________
3.
3._______________________
4.
4._______________________
5.
5._______________________
6.
6._______________________
Make a two-column proof.
Given:
Prove: DB  EC