Geo A
Unit 2 HW 5
p. 47 # 1 – 3, 5, 6, 9
Mrs. McCaleb
1. A) If a person is 18, then he may vote in federal elections.
B) If a polygon is a parallelogram, then its opposite angles are congruent.
2. A)
B)
Converse: If a triangle’s perimeter is 30, then each of its sides is 10.
(false)
Inverse: If a triangle’s sides are not each 10, then its perimeter is not
30. (false)
Contrapositive: If a triangle’s perimeter is not 30, then it does not
have side lengths of 10. (true)
Converse: If an angle measures between 0 & 90, then it is acute.
(true)
Inverse: If an angle is not acute, then it does not measure between 0
& 90. (true)
Contrapositive: If an angle does not measure between 0 & 90, then it
is not acute. (true)
3. A) (is a definition) 2 angles are congruent iff they have the same measure.
5. A) d  ~c  a  b  f
B) s  r q  ~p
C) w  c
gh
cg
bw
bwcgh
6.
therefore, df
therefore, s ~p (or p  ~s)
therefore, b  h
Converse: If M, A, and B are collinear, then M is the midpoint of
segment AB (false)
Inverse: If M is not the midpoint of segment AB, then M, A, and B are
not collinear. (false)
Contrapositive: If M, A, and B are not collinear, then M is not the
midpoint of segment AB. (true)
9. gb~c~f~p
or
pfc~b~g
So, g  ~p OR p  ~g