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46.
h
i
j
; Sample answer: The angle in the figure whose
measure is 111 is congruent to the angle on the
other side of line
h
such that the angles are vertical
angles. Then 111
1
69
5
180, so
h
i
j
because
consecutive interior angles are supplementary.
47.
l
i
m
;2 lines
'
to the same line are parallel
Chapter 4 Study Guide and Review
Page 227
Vocabulary and Concept Check
1.
h
2.
g
3.
d
4.
j
5.
a
6.
c
7.
b
8.
f
Pages 228–230
LessonbyLesson Review
9.
n
ABC
has one angle with measure greater than
90, so it is an obtuse triangle.
n
ABC
has two
congruent sides, so it is isosceles.
10.
n
BDP
has a right angle, so it is a right triangle.
The measure of one of the acute angles is 60 so
the measure of the other acute angle is
90
2
60 or 30.
n
BDP
cannot be isosceles or
equilateral so it must be scalene.
11.
n
BPQ
has at least two congruent sides, and one
of the base angles is 60° so the other base angle
must also be 60°. Then the third angle is
180
2
(60
1
60) or 60 so
n
BPQ
is equiangular
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Angles

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