This document contains a geometry drill with several problems. The first problem finds the length of NO given NM = 17 and MO = 3x - 5. It is solved to get NO = 27. The second problem finds the measure of angle FEG given the measures of the other two angles. It is solved to get m∠FEG = 67°. The third problem finds the measure of angle YWZ given the measures of the other two angles. It is solved to get m∠YWZ = 62°.

1. Geom Drill 10/23/14
•Put HW on the corner of your
desk and then complete the drill.
You may use your notes and
previous papers to help you. But
work quietly on your own.

2. M is between N and O. Find NO.
NM + MO = NO Seg. Add. Postulate
17 + (3x – 5) = 5x + 2
3x + 12 = 5x + 2 Simplify.
– 2 – 2
10 = 2x
Substitute the given values
Subtract 2 from both sides.
3x + 10 = 5x
–3x –3x
2 2
5 = x
Simplify.
Subtract 3x from both sides.
Divide both sides by 2.

3. M is between N and O. Find
NO.
NO = 5x + 2
Substitute 5 for x.
= 5(5) + 2
= 27 Simplify.

4. mDEG = 115°, and mDEF = 48°. Find mFEG
mDEG = mDEF + mFEG
115 = 48 + mFEG
67 = mFEG
 Add. Post.
Substitute the given values.
Subtract 48 from both sides.
Simplify.
–48° –48°

5. mXWZ = 121° and mXWY = 59°. Find mYWZ.
mYWZ = mXWZ – mXWY
mYWZ= 121 – 59
mYWZ= 62
 Add. Post.
Substitute the given values.
Subtract.

7. An angle bisector is a ray that divides an angle
into two congruent angles.
JK bisects LJM; thus LJK  KJM.

8. KM bisects JKL, mJKM = (4x + 6)°, and
mMKL = (7x – 12)°. Find mJKM.

9. Step 1 Find x.
mJKM = mMKL
(4x + 6)° = (7x – 12)°
+12 +12
4x + 18 = 7x
–4x –4x
18 = 3x
6 = x
Def. of  bisector
Substitute the given values.
Add 12 to both sides.
Simplify.
Subtract 4x from both sides.
Divide both sides by 3.
Simplify.

10. Step 2 Find mJKM.
mJKM = 4x + 6
= 4(6) + 6
= 30
Substitute 6 for x.
Simplify.

11. Statements Reasons
1. 1.
2 2.
3. 3.
Substitution Property of Equality
Given
Subtraction Property of Equality

12. Statements Reasons
Given
Substitution Property of
Equality
Subtraction Property of Equality

13. 1. 1.
2 2.
3. 3.
4. 4.
Given
Angle Addition Postulate
Addition Property of Equality
Substitution Property of Equality

14. Given
Angle Addition Postulate
Addition Property of Equality
Substitution Property of Equality
Answers
1.
2.
3.
4.