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Name _________________________________________ Hour ______
4-6 Isosceles and Equilateral Triangles Worksheet
RACTICE
GPUIDED
PRACTICE
TICE
!
!
!
!
Find the unknown measure(s). Tell what theorems you used.
1. Describe the
meaning the
of equilateral
equiangular.
y Check
1. Describe
meaning ofand
equilateral
and equiangular.
Vocabulary Check
1. Describe the meaning of equilateral and equiangular.
t Check
Find the unknown
measure(s).
Tell what theorems
you
used. you used.
Concept Check
Find the
unknown measure(s).
Tell what
theorems
2.
2.
2.B
B
?
?
50!
?
A
50!
3.
A
B 3.
E
?50!
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E
4.
5 cm
5 cm
?
C
3.
E
F
F
?
C
D
H
4.
H
5 cm
?
H
4.
?
?
F
?
G
G J
J
2.
A Is every equilateral
C triangle isosceles?
D
G
J
D
Is every isosceles triangle equilateral?
your reasoning.
Determine
whether
youwhether
are given
enough
information
to prove that
l Check SkillExplain
Determine
you
are given
enough information
tothe
prove that the
Check
Determine triangles
whether you
are given
enough
information
to
prove
that
the
aretriangles
congruent.
Explain
your
answer.
are congruent. Explain your answer.
triangles are congruent. Explain your answer.
Describe
meaning
FD
Vocabulary
Check
6. equiangular.
7.
Uequilateral
Vand
M
Pofthe
1.5.the
Describe
the1.
meaning
equilateral
and
equiangular.
Check
5.of
6.
1. Describe
meaning
equilateral
and
U equiangular.
V D 7.
M
P of
D
F
5. Find
6.
7.
U
V
M the unknownPmeasures.
B
S
B
S youtheorems
Concept
Find the
unknown
measure(s).
Tell
what
you used.
Check
Find the unknown
measure(s).
Tell
3.the Check
4. what theorems
5.
Find
unknown
measure(s).
Tell what
theorems
you
used.
B used.
S
?
! PRACTICE
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UIDED
!
PRACTICE
TICE
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B2.
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2.
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3.
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(x + 13) ft
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2x in.
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AND APPLICATIONS
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AND
PPLICATIONS
Determine
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information
prove that the
Check
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!Skill
ARACTICE
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Determine
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are given
enough
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toenough
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that
the thatto
!Check
are
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Explain
your
answer.
Solvetriangles
for x andare
y. triangles
congruent. Explain your answer.
D
F
12 in.
xxy congruent.
triangles are
your
answer.
HELP
for value
x and
y. x.
USING
SING A
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Find
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STUDENT HELPy U
USINGSolve
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Solve
for
x and y.
xy U8.
6.
7.
SING ALGEBRA Find the values of x and y.
xy U
SING A
LGEBRA Solve
for
xPand y.
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5.
6.
U
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5.
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19.
ctice
5. Practice
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ft8.
9.
10.
Extra
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ft10.
21.
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y!
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to help
8. you master
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x!
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y!
810.
y!
skills is on p. 810.
2x40!
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x !8x ft x !
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x!
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9.
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11.
REASONING
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xy L
LOGICAL
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Decide
whether
enough information
UOGICAL
SING ALGEBRA
Find
the values
of
x and
y. information
23.
24.
x!
prove
that the
triangles
aretriangles
congruent.
yourExplain
answer.
LOGICAL
REASONING
Decide
enough
information
is
givenyour
to answer.
prove
that whether
the
are Explain
congruent.
22.
20. triangles
22.
40!
y ! are congruent.21.
prove that the
Explain your answer.
y!
F
y!
11.
13.
T
y!
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11.
12. B x !
13.
T 12. B
F
11.
12. B ALGEBRA Solve
13.
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xy U
STUDENT
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xyA
75!y. for x and
x ! SING
y ! y.
HELP xy USING
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y. x and
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140!
Practice
8.
9.
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iceExtra
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9.
10.
8.
9.
10.
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y
!
y
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to
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x!
x!
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aster
y!
G
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G
D
10.skills is on p. 810.
V
V
x!
40!
x
!
x
!
G
D
PROOF In Exercises 26–28, use the diagrams th
40!
T HELP
STUDENT HELP
x ! 40!
46! x !
x !46!
46! V
25.
63! 236 and 237.
theorems
on pages
23.
24.
25.
63!
63!
x!
HELP HOMEWORK HELP14.
y!
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q
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y ! q 15. y !
14.
15.
16. A
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26–28 1: Exs.60!
26. The Converse of the Base Angles Theorem on pag
26–28
y
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14.
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16.
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PEARACTICE
AND APPLICATIONS
AND
APPLICATIONS
PPLICATIONS
22.
y!
12.
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13.
14.
x!
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12.
13.
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17.
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16.
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Find the value of the missing variables.
%&'
that
accompany
the
15.
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ge 236 states, “If two angles
e them are congruent.”
17.
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, “If a triangle is equilateral,
lary.
18. is equiangular,
, “If a triangle
ry.
18.
D
19.
19.
20.
20.
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21.
22.
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26.
27.
28.
29.
30.
31.
32.
33.
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