5.6 Answers - # 1, 2, 3, 5, 6, 8, 10, 11, 16, 17
1.
2.
1.
2.
3.
4.
5.
a.
b.
c.
d.
e.
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
If one pair of opposite side of a quadrilateral is parallel and congruent, then the quadrilateral is a parallelogram.
If opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
cannot prove
If opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram.
Statements
∠XRV ≅ ∠RST
ST  RV
∠RSV ≅ ∠TVS
TV  SR
RSTV is a 
Reasons
1.
2.
3.
4.
5.
Given
If corr ∠s ≅ ⇒  lines
Given
If alt int ∠s ≅ ⇒  lines
If both pairs of opp sides of a quad are  , then quad is

3.
Statements
1.
2.
3.
4.
5.
6.
7.
8.
5.
O
SO ≅ OP
MO ≅ OR
O is the midpoint of SP
O is the midpoint of MR
MR bisects SP
SP bisects MR
SMPR is a 
Reasons
1.
2.
3.
4.
5.
6.
7.
8.
P(−10, 6), S(−7, −4),Q(2, 6), R(5, −4)
6 − −4
10
mPS =
=
−10 − −7 −3
6 − −4 10
mQR =
=
2−5
−3
PS  QR
6−6
0
mPQ =
=
=0
−10 − 2 −12
−4 − −4
0
mSR =
=
=0
−7 − 5
−12
PQ  SR
6. Will be presented in class but TRY!
8.
Given
Radii of a circle are congruent
Radii of a circle are congruent
If a point divides a segment into to 2 congruent segs, then it is the midpoint
If a point divides a segment into to 2 congruent segs, then it is the midpoint
If a segment divides a segment into 2 congruent segs, then it bisects it
If a segment divides a segment into 2 congruent segs, then it bisects it
If diagonals of quad bisect each other, then it is a
P = 3x + 5x + 3x + 5x = 32
16x = 32
x=2
AB = 5x = 5(2) = 10

10.
Consectutive angles of a  are supp:
∠1 + ∠2 = 180
∠1 = x
∠2 = 3x + 40
x + 3x + 40 = 180
x = 35
∠1 = x = 35°
∠2 = 3x + 40 = 3(35) + 40 = 145°
11.
a.
b.
c.
d.
Sometimes
Sometimes
always
always
14. Will be presented in class but TRY IT!
17. Will be presented in class but TRY IT!