1. Honors Geometry Drill 12/3/14
Complete on your own without talking
State the theorem or postulate that is related to the measures
of the angles in each pair. Then find the unknown angle
measures.
1. m1 = 120°, m2 = (60x)°
2. m2 = (75x – 30)°,
m3 = (30x + 60)°
3. m3 = (50x + 20)°, m4= (100x – 80)°
4. m3 = (45x + 30)°, m5 = (25x + 10)°

2. Name the postulate or theorem
that proves p || r.
5. 4  5
6. 2  7
7. 3  7
8. 3 and 5 are supplementary.

3. 9. Write and solve an inequality for x.
10. Solve to find x and y in the diagram.

4. 11. Complete the two-column proof below.
Given: 1 ≅ 2, p  q
Prove: p  r
Proof
Statements Reasons
1. 1.
2.
3.
2..
3..

5. Honors Geometry Drill 12/3/14
Complete on your own without talking
State the theorem or postulate that is related to the measures
of the angles in each pair. Then find the unknown angle
measures.
1. m1 = 120°, m2 = (60x)°
Alt. Ext. s Thm.; m2 = 120°
2. m2 = (75x – 30)°,
m3 = (30x + 60)°
Corr. s Post.; m2 = 120°, m3 = 120°
3. m3 = (50x + 20)°, m4= (100x – 80)°
Alt. Int. s Thm.; m3 = 120°, m4 =120°
4. m3 = (45x + 30)°, m5 = (25x + 10)°
Same-Side Int. s Thm.; m3 = 120°, m5 =60°

6. Name the postulate or theorem
that proves p || r.
5. 4  5 Conv. of Alt. Int. s Thm.
6. 2  7 Conv. of Alt. Ext. s Thm.
7. 3  7 Conv. of Corr. s Post.
8. 3 and 5 are supplementary.
Conv. of Same-Side Int. s Thm.

7. 9. Write and solve an inequality for x.
2x – 3 < 25; x < 14
10. Solve to find x and y in the diagram.
x = 9, y = 4.5

8. 11. Complete the two-column proof below.
Given: 1 ≅ 2, p  q
Prove: p  r
Proof
Statements Reasons
1. 1 ≅ 2, p  q 1. Given
2. q || r
3. p  r
2. Conv. Of Corr. s Post.
3.  Transv. Thm.