the Law of Detachment, algebra homework help

Geometry.!

1
True or False.
If a conditional is true and its hypothesis is true, then its conclusion is true.
True
O False
O True
O False
2.
True or False.
The Law of Syllogism allows you to state a conclusion even though the conditional statements are not true.
True
False
O True
O False
3.
In the figure below, KM = 35. Find the length of segment KL.
2x
2.x – 5
K L
M
a
Ob
Segment KL = 15
Segment KL = 10
Segment KL = 2x + 10
Segment KL = 2x – 5
Od
1.
Name the property that justifies the following statement.
2(3x + 5) = 6x + 10
Substitution Property of Equality
Ob
Distributive Property
Ос
Multiplication Property of Equality
Od
Reflexive Property of Equality
O a
Ob
oc
Od
2.
Name the property that justifies the following statement.
If ST = QR, then QR = ST.
O a
Reflexive Property of Congruence
Transitive Property of Congruence
4.
Which property justifies this statement?
If 4x = 16, then 16 = 4x.
a
Symmetric Property of Equality
Ob
Transitive Property of Equality
Reflexive Property of Equality
5.
True or False? If false correct the underlined portion.
The Addition Property of Equality states the following: If a = b, then a + c = b + C.
True
False
O True
O False
6.
True or False? If false correct the underlined portion.
The Reflexive Property of Equality states the following: If a = b and b = C, then a = C.
True
O False
O True
O False
7.
Use the given property to complete the statement.
Addition Property of Equality
If 2x – 5 = 10, then 2x =