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.

M is between N and O. Find NO.

10 = 2x

NM + MO = NO Seg. Add. Postulate

17 + (3x – 5) = 5x + 2

– 2 – 2

Substitute the given values

Subtract 2 from both sides.Simplify.3x + 12 = 5x + 2

3x + 10 = 5x –3x –3x

2 2 5 = x

Simplify.Subtract 3x from both sides.

Divide both sides by 2.

M is between N and O. Find

NO.

NO = 5x + 2Substitute 5 for x.Simplify.= 27

= 5(5) + 2

mDEG = 115°, and mDEF = 48°. Find mFEG

mDEG = mDEF + mFEG

115 = 48 + mFEG

67 = mFEG

Add. Post.

Substitute the given values.

Subtract 48 from both sides.

Simplify.

–48° –48°

mXWZ = 121° and mXWY = 59°. Find mYWZ.

mYWZ = mXWZ – mXWY

mYWZ = 121 – 59

mYWZ = 62

Add. Post.

Substitute the given values.

Subtract.

An angle bisector is a ray that divides an angle into two congruent angles.

JK bisects LJM; thus LJK KJM.

KM bisects JKL, mJKM = (4x + 6)°, and mMKL = (7x – 12)°. Find mJKM.

Step 1 Find x.

mJKM = mMKL

(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.

Step 2 Find mJKM.

mJKM = 4x + 6

= 4(6) + 6

= 30

Substitute 6 for x.

Simplify.

1. 1.

2 2.

3. 3.

Statements Reasons

Given

Substitution Property of Equality

Subtraction Property of Equality

Given

Substitution Property of EqualitySubtraction Property of Equality

Statements Reasons

1. 1.

2 2.

3. 3.

4. 4.

GivenAddition Property of Equality

Angle Addition Postulate

Substitution Property of Equality

GivenAngle Addition Postulate

Addition Property of EqualitySubstitution Property of Equality

Answers

1.

2.

3.

4.