1
37
m
o
1
2
3
4
Drawing not to scale
____
29.
Find the values of
x
and
y
.
7x + 7 = 112
4y + 112 = 180 (linear pair)
7x = 105
4y = 68
x = 15
y = 17
112°
4y°
7x + 7°
Drawing not to scale
30.Write the converse of the statement. If the converse is true, write
true
; if not true, provide a counterexample.
If
x
= 4, then
x
2
= 16.
Converse:
If x
2
= 16, then x = 4.
(False, since it could be -4)
31.Complete the paragraph proof.
Given:
are supplementary, and
are supplementary.
Prove:

By the definition of supplementary angles,
180
(
a
) and
180
(
b
). Then
by _
transitive
(
c
). Subtract
from each side.
You get
3
m
(
d
), or
3
(
e
).
32.
What are the converse, inverse, and contrapositive of the following true conditional?
If a figure is a square, then it is a parallelogram.
Converse:
If it’s a parallelogram, then it’s a square.
Inverse:
If it’s not a square, then it’s not a parallelogram.
Contrapositive: If it’s not a parallelogram, then it’s not a square.
33.
Complete the two-column proof.
Given:
Prove:
Drawing not to scale
Given
Substitution
Vertical
Substitution
34.
Write the two conditional statements that form the given biconditional.
Three points are collinear if and only if they are coplanar.
If 3 points are collinear, then they are coplanar.
If 3 points are coplanar, then they are collinear.

#### You've reached the end of your free preview.

Want to read all 5 pages?