4-1 and 4-2 Review Worksheet

NAME
DATE
PERIOD
Name ___________________________________ Hour ______
4-1
Skills Practice 4-1 and 4-2 Review Worksheet
Classifying Triangles
4-1 Classifying Triangles
Classify each triangle as acute, equiangular, obtuse, or right.
1.
60°
4.
2.
60°
60°
95°
90°
45°
50°
5.
50°
80°
3.
40°
40°
70°
6.
50°
30°
50°
55° 55°
100°
Classify each triangle as equilateral, isosceles, or scalene.
7. !ABE
8√2
8. !EDB
E
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
9. !EBC
8
D
C
10. !DBC
11. ALGEBRA Find x and the length of
each side if !ABC is an isosceles
−−
−−
triangle with AB # BC.
12. ALGEBRA Find x and the length of each
side if !FGH is an equilateral triangle.
#
4x - 3
"
B
9
A
x+2
(
3x + 10
2x + 5
'
$
x =ALGEBRA
______________
13.
Find x and the length of
each side if !RST is an isosceles
−− −−
AB = _____________
triangle with RS # TS.
5x - 8
)
4x + 1
= _______________
14.x ALGEBRA
Find x and the length of each
side if !DEF is an equilateral triangle.
FG = _____________
BC = _____________
3
GH = _____________
&
9x + 2
AC = _____________
FH = ______________
3x - 1
5x - 21
2x + 6
4
6x + 8
5
Chapter 4
%
43
7x - 39
'
Glencoe Geometry
NAME
DATE
PERIOD 57°
ware
- Infinite Geometry
Name___________________________________
FNGLE
INDING
ANGLE
MFind
EASURES
Find
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numbered
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FINDINGHA
MEASURES
the measure
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the
numbered
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ANGLE
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EASURES
Find
the
measure
of theangles.
numbered angles.
STUDENT
ELP
Kuta
Software - Infinite Geometry
Name___________________________________
NET
HOMEWORK
31.
32.
33.
ER HELP
Pin a Triangle
31. HOMEWORK HELP 1
33. Date________________
31. 32.
32.
33.
Period____
1
1
4-1site
Triangle
Angle
Sum
Visit
1
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Visit
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56!
Angles
in
a
Triangle
Date________________
Period____
56!
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56!
com
www.mcdougallittell.com
3
measure
of
each
angle
indicated.
3
2
Find
each
missing
angle.
with
Exs.
31–33.
3
of Triangles
50!
3
3
40!
2
3.
3
2
for help with Exs.Angles
31–33.
40!
50!
95!
40!50!
13. the measure
15.1 2
95! 14.
42! angle indicated.
95!45!
Find
of each
42!
1 45!2
42!
45!
1 2
Find the measure of each numbered
3)
2) angle.
?
1) LOGICAL
2)
LOGICAL
REASONINGComplete
Complete
the
statement
using
always,
sometimes,
REASONING
the
statement
using
always,
sometimes,
4-2
INT
Practice
1.xor never.
65°
2.
?
xy USING
A
The variable
expressions
represent
the angle
40°
xLGEBRA
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The
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UOGICAL
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LOGICAL
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L
RComplete
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the
Complete
statement
the
using
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using
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always,
orynever.
1statement
72° measures
of
a
triangle.
Find
the
measure
of
each
angle.
Then
classify the 20°
2 of
measures
triangle.
Find
the
measure
of each
angle.
Then40°
classify
the
or anever.
or
never.
measures
of
a
triangle.
Find
the
measure
of
each
angle.
Then
classify the
?
22.
An
isosceles
triangle
is
an
equilateral
triangle.
!!!!!
by its
?!!!!!!
22.
An isosceles
triangle
is angles.
an its
equilateral
!!!!!
triangle
bytriangle
its 1angles.
triangle
by
angles. triangle.
?!!! an
?!!! an
22. An
isosceles
22.
An
triangle
isosceles
is !!!!!
triangle
is !!!!!
equilateral
triangle.
equilateral
57°
40°
55°triangle.
?!!!
23.
obtuse
triangle
is !!!!!
isosceles
triangle.
?!!!
23.
AnAn
obtuse
triangle
isx°
anan
isosceles
triangle.
!!!!!
34.
m™A
=
35.
m™R
=
x°
36.
= 36.
(x º
15)° = (x º130°
?
34. m™A =23.
x° An obtuse
35.obtuse
m™R
=
x°an isosceles
36.
m™W
(xm™W
º 15)°
34.triangle
m™A
=
x°triangle
35.triangle.
m™R
= x° =
m™W
15)° ?
?
?
23.
An
is
is
an
isosceles
triangle.
!!!!!
!!!!!
!!!
!!!
24.
An
interior
angle
of
a
triangle
and
one
of
its
adjacent
exterior
angles
m™B of
= a2x°
= 7x° m™S
= (2x º
165)°
24. An
interior
triangle
and
one
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An interior
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°
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are
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?!!!
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are
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25.each
The
acute
angles
of
a right
triangle
!!!!!
Find
the
value
of!!!!!
x.of
Find
measure.
?!!!
25.
The
acute
angles
a right
triangle
areare
complementary.
!!!!!
5) 18.
4)
16.
17.
?!!!
?!!!angle
25.
The
acute
25.
angles
The
acute
of
a
right
angles
triangle
of
a
right
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triangle
are !!!!!
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complementary.
?
26.
A
triangle
has
a
right
angle
and
an
obtuse
xy E
!!!!!
!!!!!
!!!
3 shown.
XTERIOR
ANGLES
Find
theof
measure
of
the
exterior
?
xy A
26.
triangle
has
a
right
angle
and
an
obtuse
angle.
x
!!!!!
!!!
y
E
XTERIOR
A
NGLES
Find
the
measure
the
exterior
angle
shown.
E
XTERIOR
A
NGLES
Find
the
measure
of
the
exterior
angle shown.
4)
58°
3.3)
m∠1
?!!!
?!!!angle
1
26. A triangle
26. A
triangle
has a right
has aand
right
anangle
obtuse
and
angle.
an obtuse
angle.
!!!!!
85°
2
IDENTIFYING
PARTS OF!!!!!
TRIANGLES
Refer
to the triangles
in Exercises
16–21.
37.
38.
39.
I37.
DENTIFYING PARTS OF37.
TRIANGLES
Refer to the triangles
38.
38. 39. in Exercises 16–21.
! 137°
85° x39.
20°
4. m∠2
x ! 16–21.
IDENTIFYING
IDENTIFYING
Pthe
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RIANGLES
ARTS
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RIANGLES
to the Refer
triangles
tox !the
in Exercises
triangles
in
16–21.
Exercises
35°
27. Identify
the legs and
hypotenuse
of any
triangles.
38!
27. Identify 20°
the legs and the hypotenuse
50°
? triangles.38!
38! of any right
39° triangles.
27.the
Identify
27.the
legs
Identify
andofthe
hypotenuse
legs
and thetriangles.
of
hypotenuse
any right
of any
right triangles.
(2x
8)!the
5. m∠3
28. Identify
legs"and
base
any
isosceles
Which
50°
(2x " 8)!
(2x of
" 8)!
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28.
the legs and the base
any isosceles triangles. Which isosceles
130°Identify
? 28.
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a base
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is
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the
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of
a
right
triangle?
(10x
#
9)!
(2xWhich
" 21)! isosceles
Identify
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28.
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Identify
and
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40.
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Use
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40.
T
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Use
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the Triangle Sum
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6)
19.
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or theC.Exterior
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29. Find
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point
Copy
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or
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Theorem.
Describe
your
procedure. C (?, ?)
29. Find the coordinates of point C. Copy the graph
2°
FINDING
angles.
100°
? ANGLE MEASURES Find the measure of the numbered
FINDING ANGLE
FINDING
MEASURES
ANGLE M
Find
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the measure
Find the
of measure
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of theangles.
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31.
32.
33.
10.
m∠5
102°
100°
?
35°
1 33.
Pb site E31.
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HOMEWORK HELP HOMEWORK
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with Exs.
for31–33.
help with Exs. 31–33.
1
1
3
42!
42!
3
2
95!
95!
42!
2
40!
340! 2
95!
56!
56!
1
50! 3
50!
1 2
40!
1 2
45!
3
245!
40!
45!
95!
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8)the 1angle
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50!
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3
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expressions
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the
represent
angle the angle
measures
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triangle.
Find the measure of each angle. Then classify the
triangle by
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of measure
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of each
Thenangle.
classify
Then
the 60°
classify the
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12.
m∠1 by triangle
2
by
its
triangle
angles.
by
its
angles.
30°
A
D
20.
34. m™A = x°
35. m™R =21.
x°
36. m™W?= (x º 15)° 22.
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35.
m™R
=
x°
36.
m™W
(x º
15)°=36.
13.34.
m∠2
?
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35.7x°
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= x°==
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?
°
356!
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º 165)°
= 2x°
=
7x°
= (2x º
m™Y
165)°
= (2x º 165)°
m™C = (2x + 15)°2x° m™B m™T
= x°
m™Z
= 90°
m™C = (2xm™C
+ 15)°
m™T
=
x°
m™Z
=
90°
= (2x m™C
+ 15)°= (2x + 15)°
m™T = x° m™T = x°
m™Z = 90° m™Z = 90°
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
6) the graph
6.5)
m∠1
and sketch
¤ABC.
29. Find
the 29.
coordinates
Find the of
coordinates
point C. Copy
of point
the C.
graph
Copy
and sketch
¤ABC.
and sketch ¤ABC.
and sketch ¤ABC.
5
4.1 Triangles
A (2, 2)?4.1and
B (5, Angles
2)199 and199
7. m∠4
30. Find the coordinates of a point D that forms
a Triangles
4.1
and
Angles
199
2
A(2,Angles
2)
B(5, Triangles
2) 7)
30. Find137°
the coordinates of a point D that formsÆ
a
A?(2, 2)
(5, 2)
B (5, 2)
different
right
triangle
with
leg
AB
. a forms
Æ
30.isosceles
Find the 30.
coordinates
Find
the of
coordinates
a point
D of
that
point Da that forms a A (2, 2) x B70°
118°
3
4
different isosceles right triangle with leg AB.
Æ
Æ
8. m∠3
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different
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triangleright
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leg AB
.
6
1
36°
65°
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x
?
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sketch
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answer.
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answer.
9. m∠2
68°
82°
FINDING ANGLE MEASURES Find the measure of the numbered
angles.
30°
xy EXTERIOR ANGLES
14. CONSTRUCTION
TheFind
diagram
shows of
anthe exterior angle shown.
the measure
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37.
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4.1 Triangles and Angles
4.1 Triangles and Angles
199
199
Worksheet by Kuta Software LLC
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