Geoobs leassons proofs for smart board with answers
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. 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°
5. mXWZ = 121° and mXWY = 59°. Find mYWZ.
mYWZ = mXWZ – mXWY
mYWZ= 121 – 59
mYWZ= 62
Add. Post.
Substitute the given values.
Subtract.
6.
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, mJKM = (4x + 6)°, and
mMKL = (7x – 12)°. Find mJKM.
9. 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.