Download Triangles Review Multiple Choice

Triangles Chapter Problems
Classify the Triangles by Sides or Angles
Class Work
In problems #1-10, choose the most appropriate description for the given triangle. (Equilateral,
Scalene, Isosceles, Obtuse, Acute, Right, Equiangular)
1. Side lengths: 3 cm, 4 cm, 5 cm
2. Side lengths: 3 cm, 3 cm, 4 cm
3. Side lengths: 2 cm, 3 cm, 2 cm
4. Side lengths: 5 cm, 5 cm, 5 cm
5. Side lengths: 2 cm. 3 cm, 4 cm
6. Angle Measures: 30°, 60°, 90°
7. Angle Measures: 60°, 60°, 60°
8. Angle Measures: 92°, 37°, 51°
9. Angle Measures: 88°, 67°, 25°
10. Angle measures: 37°, 39°, 104°
Complete the statement using ALWAYS, SOMETIMES, and NEVER.
11. An isosceles triangle is ___________ a scalene triangle.
12. An equilateral triangle is __________ an isosceles triangle.
13. An isosceles triangle is ___________ an equilateral triangle.
14. An acute triangle is ___________ an equiangular triangle.
15. An isosceles triangle is __________ a right triangle.
For #16-20, classify the triangles by Sides & Angles
17.
16.
18.
64°
37°
22°
115°
58°
58°
106°
43°
37°
19.
20.
135°
Geometry: Triangles
~1~
NJCTL.org
Classify the Triangles by Sides or Angles
Home Work
In problems #21-30, choose the most appropriate description for the given triangle.
(Equilateral, Scalene, Isosceles, Obtuse, Acute, Right, Equiangular)
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
Side lengths: 5 cm, 6 cm, 7 cm
Side lengths: 2 cm, 2 cm, 3 cm
Side lengths: 3 cm, 3 cm, 3 cm
Side lengths: 3 cm, 4 cm, 4 cm
Side lengths: 4 cm, 3 cm, 2 cm
Angle Measures: 60°, 60°, 60°
Angle Measures: 60°, 30°, 90°
Angle Measures: 33°, 52°, 95°
Angle Measures: 37°, 43°, 100°
Angle measures: 25°, 67°, 88°
Complete the statement using ALWAYS, SOMETIMES, and NEVER.
31. A scalene triangle is ___________ an equilateral triangle.
32. An equilateral triangle is __________ an obtuse triangle.
33. An isosceles triangle is ___________ an acute triangle.
34. An equiangular triangle is ___________ a right triangle.
35. An right triangle is __________ an isosceles triangle.
For #36-40, classify the triangles by Sides & Angles
38.
37.
36.
27°
36°
47°
108°
106°
36°
40.
39.
51°
46°
78°
46°
51°
Geometry: Triangles
~2~
NJCTL.org
Triangle Sum & Exterior Angle Theorems
Class Work
In the given triangles, solve for the missing variable(s).
42.
41.
43.
57°
x°
(4x+21)°
29°
93°
(2x+8)°
x°
44.
45.
65°
65°
(x-10)°
>>
36°
x°
85°
x°
z°
(y+10)°
>>
49.
46.
47.
x°
(4x-13)°
39°
21°
2x°
(3x+23)°
(3x-18)°
65°
x°
y°
z°
Triangle Sum & Exterior Angle Theorems
Home Work
In the given triangles, solve for the missing variable(s).
Geometry: Triangles
~3~
NJCTL.org
51.
50.
52
x°
62°
(3x-14)°
32°
(2x+15)°
87°
(x-7)°
(x-9)°
54.
53.
55°
55.
>>
29°
x°
(3x-18)°
(x+4)°
(3x-22)°
(6x-23)°
(2x+27)°
z°
(y-13)°
56.
57.
58.
y°
26°
x°
23°
y°
66°
x°
z°
>>
z°
34°
y°
x°
35°
19°
z°
62°
47°
PARCC type question
59. Proof of Triangle Sum Theorem: Complete the proof by filling in the missing reasons
with the “reasons bank” to the right. Some reasons may be used more than once, and some
may not be used at all.
D
Given: j || k, ∠𝐷𝐵𝐸 is a straight angle
Prove: 𝑚∠1 + 𝑚∠4 + 𝑚∠7 = 180°
3 4
2 1
C
Statements
1. j || k
∠𝐷𝐵𝐸 is a straight angle
2. 𝑚∠𝐷𝐵𝐸 = 180°
3. 𝑚∠3 + 𝑚∠4 + 𝑚∠5 =
𝑚∠𝐷𝐵𝐸
4. 𝑚∠3 + 𝑚∠4 + 𝑚∠5 = 180°
5. ∠3 ≅ ∠1, ∠5 ≅ ∠7
6. 𝑚∠3 = 𝑚∠1, 𝑚∠5 = 𝑚∠7
7. 𝑚∠1 + 𝑚∠4 + 𝑚∠7 = 180°
Geometry: Triangles
Reasons
1.
E
B
k
5
7
6
A
j
Reasons Bank
2.
3.
4.
5.
6.
7.
~4~
a) Angle Addition Postulate
b) Substitution Property of Equality
c) If 2 parallel lines are cut by a
transversal, then the alternate interior
angles are congruent.
d) If 2 parallel lines are cut by a
transversal, then the corresponding
angles are congruent.
e) Given
f) Definition of congruent angles.
g) Definition of a straight
angle.
NJCTL.org
Inequalities in Triangles
Classwork
For each triangle list the sides from greatest to smallest #60-62.
60.
61.
62.
B
H
D
30°
A
C
65°
F
24°
112°
E
G
76°
I
75°
For each triangle list the angles in order from greatest to smallest #63-65.
63.
64.
65.
L M
5.7
O
4
Q
6.75
2.5
K
J
62
43
3.8
60
P
N
5.5
R
Will the three lengths given make a triangle?
66. 2, 3, and 4
67. 1, 3, and 4
68. 5, 6, and 7
69. 16, 8, and 7
70. 20, 10, and 10
71. 8x, 7x, and 14x
Given the lengths of two sides of a triangle, what lengths could the third side, x, have?
72. 12 and 14
73. 15 and 6
74. 22 and 22
75. 9 and 12
76. 8y and 10y
Inequalities in Triangles
Homework
For each triangle list the sides from greatest to smallest #77-79.
77.
78.
79.
Geometry: Triangles
~5~
NJCTL.org
E
B
H
57°
41°
95°
C D
A
F
63°
80°
G
18°
I
For each triangle list the angles in order from greatest to smallest #80-82.
80.
81.
82.
M
K
H
18
N
10
5
7
G
8
L
11
I J
7
27
33
O
List the sides in order from shortest to longest #83-84.
83.
84.
H
T
75° 40°
80°
S
V
40° 80°
G
75°
70°
110° 40°
U
F
60°
I
J
Will the three lengths given make a triangle?
85. 21, 34, and 49
Geometry: Triangles
~6~
NJCTL.org
86. 11, 31, and 44
87. 8, 6, and 5
88. 12, 5, and 7
89. 20, 30, and 11
90. 9x, 17x, and 26x
Given the lengths of two sides of a triangle, what lengths could the third side, x, have?
91. 10 and 21
92. 19 and 8
93. 30 and 30
94. 5 and 15
95. 4y and 14y
Similar Triangles
Classwork
96. Determine if the triangles are similar. If so, write a similarity statement & state the
similarity postulate or theorem.
a.
b.
c.
PARCC type questions: Complete the proof by filling in the missing reasons with the
“reasons bank” to the right. Some reasons may not be used at all.
97. Given: DH || FG
Prove: ∆𝐷𝐸𝐻~∆𝐺𝐸𝐹
Reasons Bank
F
D
a) If 2 parallel lines are cut by a
transversal, then the alternate interior
E
angles are congruent.
b)
If 2 parallel lines are cut by a
G
H
transversal, then the corresponding
angles are congruent.
Statements
Reasons
c) Given
1.
1. DH || FG
d) Vertical angles are congruent
2.
2. ∠𝐷 ≅ ∠𝐺
e) AA~
3.
3. ∠𝐷𝐸𝐻 ≅ ∠𝐺𝐸𝐹
f) SAS~
g) SSS~
Geometry: Triangles
~7~
NJCTL.org
4. ∆𝐷𝐸𝐻~∆𝐺𝐸𝐹
4.
98. Given: ÐR @ ÐA , PR = 9 , QR = 7.2 , AB = 4.8 , and AC = 6
Prove: ∆𝑄𝑃𝑅~∆𝐵𝐶𝐴
Reasons Bank
Statements
1. ÐR @ ÐA , PR = 9 , QR = 7.2 ,
AB = 4.8 , and AC = 6
2.
𝑃𝑅
𝐶𝐴
𝑃𝑅
9
3 𝑄𝑅
7.2
3
= 6 = 2 , 𝐵𝐴 = 4.8 = 2
𝑄𝑅
Reasons
1.
2.
3.
3. 𝐶𝐴 = 𝐵𝐴
4. ∆𝑄𝑃𝑅~∆𝐵𝐶𝐴
99.
a) If the scale factors are the same, then the
sides are proportional.
b) Given
c) AA~
d) Calculating the scale factor between the
sides of the triangles.
e) SAS~
f) SSS~
4.
Given: ÐA @ ÐD , ÐB @ ÐE
Prove: ∆𝐴𝐵𝐶~∆𝐷𝐸𝐹
Reasons Bank
E
a)
b)
c)
d)
B
C
A
F
D
Statements
1. ÐA @ ÐD , ÐB @ ÐE
2. ∆𝐴𝐵𝐶~∆𝐷𝐸𝐹
AB BC CA


100. Given:
DE EF FD
Prove: ∆𝐴𝐵𝐶~∆𝐷𝐸𝐹
Reasons
1.
2.
Reasons Bank
a)
b)
c)
d)
E
B
A
Statements
AB BC CA


1.
DE EF FD
Geometry: Triangles
C
AA~
SAS~
SSS~
Given
AA~
SAS~
SSS~
Given
F
D
Reasons
1.
~8~
NJCTL.org
2. ∆𝐴𝐵𝐶~∆𝐷𝐸𝐹
2.
In problems 101-103, determine if DE || BC .
101.
102.
103.
PARCC type questions:
Solve for y.
104.
105.
PARCC type question: Complete the proof by filling in the missing reasons with the “reasons
bank” to the right. Some reasons may not be used at all.
106. Prove the Side Splitter Theorem
Reasons Bank
Given BD ║ AE
Prove
C
CB CD

CA CE
B
Geometry: TrianglesD
A
~9~
E
a) If 2 parallel lines are cut by a
transversal, then the alternate interior
angles are congruent.
b) If 2 parallel lines are cut by a
transversal, then the corresponding
angles are congruent.
c) Given
d) Reflexive Property of Congruence
NJCTL.org
e) AA~
f) SAS~
g) If two triangles are similar, then their
corresponding sides are proportional.
Statements
1. BD ║ AE
2. ∠𝐶 ≅ ∠𝐶
3. ∠𝐶𝐵𝐷 ≅ ∠𝐶𝐴𝐸
4. ∆𝐶𝐵𝐷~∆𝐶𝐴𝐸
CB CD
5.

CA CE
Reasons
1.
2.
3.
4.
5.
Similar Triangles
Homework
107. Determine if the triangles are similar. If so, write a similarity statement & state the
similarity postulate or theorem.
a.
b.
c.
Geometry: Triangles
~10~
NJCTL.org
PARCC type questions: Complete the proof by filling in the missing reasons with the “reasons
bank” to the right. Some reasons may not be used at all.
108. Given: BD || AE
Reasons Bank
Prove: ∆𝐴𝐶𝐸~∆𝐵𝐶𝐷
a) If 2 parallel lines are cut by a
transversal, then the alternate interior
angles are congruent.
b) If 2 parallel lines are cut by a
transversal, then the corresponding
angles are congruent.
Statements
Reasons
c) Given
1.
1. BD ║ AE
d) Reflexive Property of Congruence
2.
2. ∠𝐶 ≅ ∠𝐶
e) AA~
3.
3. ∠𝐶𝐷𝐵 ≅ ∠𝐶𝐸𝐴
f) SAS~
4.
4. ∆𝐴𝐶𝐸~∆𝐵𝐶𝐷
g) SSS~
109. Given: mÐP = 48°, mÐQ = 55° , mÐB = 55° , mÐC = 77°
Prove: ∆𝑃𝑄𝑅~∆𝐴𝐵𝐶
Reasons Bank
Statements
1. mÐP = 48°, mÐQ = 55° ,
mÐB = 55° , mÐC = 77°
2. 𝑚∠𝑅 = 77°
3. ∠𝑄 ≅ ∠𝐵, ∠𝑅 ≅ ∠𝐶
4. ∆𝑃𝑄𝑅~∆𝐴𝐵𝐶
a)
b)
c)
d)
e)
f)
Reasons
1.
Triangle Sum Theorem
Given
AA~
SAS~
Definition of congruent angles
SSS~
2.
3.
4.
Reasons Bank
AB CA

, ÐA @ ÐD
DE FD
Prove: ∆𝐴𝐵𝐶~∆𝐷𝐸𝐹
110. Given:
a)
b)
c)
d)
E
AA~
SAS~
SSS~
Given
B
A
C
Statements
AB CA

1.
, ÐA @ ÐD
DE FD
Geometry: Triangles
F
D
Reasons
1.
~11~
NJCTL.org
2. ∆𝐴𝐵𝐶~∆𝐷𝐸𝐹
2.
In problems 111-113, determine if DE || BC .
111.
112.
113.
PARCC type questions:
Solve for y.
114.
115.
116.
Geometry: Triangles
~12~
NJCTL.org
PARCC type question:
117. Prove the Converse to the Side Splitter Theorem: Complete the proof by filling in the
missing reasons with the “reasons bank” to the right. Some reasons may not be used at all.
CB CD

Reasons Bank
Given
C
CA CE
Prove BD ║ AE
a) If 2 lines are cut by a transversal and the
alternate interior angles are congruent,
then the lines are parallel.
b) If 2 lines are cut by a transversal and the
B
D
corresponding angles are congruent,
then the lines are parallel.
c) Given
A
E
d) Reflexive Property of Congruence
Statements
Reasons
e) AA~
1.
CB CD
f) SAS~

1.
g) SSS~
CA CE
h) If two triangles are similar, then the
2.
2. ∠𝐶 ≅ ∠𝐶
corresponding angles are congruent.
3.
3. ∆𝐶𝐵𝐷~∆𝐶𝐴𝐸
4.
4. ∠𝐶𝐵𝐷 ≅ ∠𝐶𝐴𝐸
5.
5. BD ║ AE
Geometry: Triangles
~13~
NJCTL.org
Triangles Review
Multiple Choice
1. Identify the triangles by sides and angles
a. scalene, acute
b. isosceles, obtuse
c. scalene, obtuse
d. equilateral, equiangular
2. Angle measures of a triangle are given, find the value of x.
a. 24
A triangle’s angles are:
b. 28
m∠𝐴 = 2x - 1
c. 32
m∠𝐵 = x + 9
d. 30
m∠𝐶 = 3x + 4
3. Classify the triangle by sides and angles.
a. scalene, obtuse
b. isosceles, acute
c. scalene, acute
d. isosceles, obtuse
8
12
10
4. Using the figure at right, list the segments from least to greatest.
̅̅̅̅ , 𝐴𝐶
̅̅̅̅ , 𝐵𝐶
̅̅̅̅ , 𝐴𝐷
̅̅̅̅, 𝐷𝐶
̅̅̅̅
a. 𝐵𝐶
̅̅̅̅ , ̅̅̅̅
b. ̅̅̅̅
𝐴𝐵 , 𝐵𝐶
𝐴𝐶 , ̅̅̅̅
𝐴𝐷 , ̅̅̅̅
𝐷𝐶
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
c. 𝐴𝐷, 𝐷𝐶 , 𝐴𝐶 , 𝐴𝐵 , 𝐵𝐶
d. cannot be determined
5. Use the diagram to find the value of x.
a. 130
b. 125
c. 120
d. 110
6. Which of the following values cannot be the third side of a triangle if two of the sides are 14
and 20?
a. 18
b. 20
c. 32.5
d. 34
Geometry: Triangles
~14~
NJCTL.org
7. Decide whether the triangles are similar. If so, write a similarity statement.
a.
b.
c.
d.
Yes, DABC : DDEF
Yes, DABC : DDFE
Yes, DABC : DFDE
The triangles are not similar
8. Determine if the triangles are similar. If so, state the similarity postulate or theorem.
a.
b.
c.
d.
Yes, by AA~
Yes, by SSS~
Yes, by SAS ~
The triangles are not similar
9. Determine if the triangles are similar. If so, state the similarity postulate or theorem.
B
a.
b.
c.
d.
C
A
Yes, by AA~
Yes, by SSS~
Yes, by SAS ~
The triangles are not similar
D
E
10. Solve for y
a.
b.
c.
d.
8
4.5
6
12
Geometry: Triangles
~15~
NJCTL.org
11. Solve for x
F
6
E
10
G
8
D
a.
b.
c.
d.
H
x
4
4.8
10
12.8
Short Constructed Response – Write the correct answer for each question.
No partial credit will be given.
12. Find the values of x and z.
x
2x-10
40
z
13. ∆𝐽𝐾𝐿~∆𝑁𝑃𝑀. Find the values if x & y
K
P
12
9
J
L
x
13.5
15
M
Geometry: Triangles
y
~16~
N
NJCTL.org
Extended Constructed Response – Write the correct answer for each question.
Partial credit will be given.
14. Complete the proof by filling in the missing reasons with the “reasons bank” to the right.
Some reasons may not be used at all.
Given BD ║ AE
Reasons Bank
Prove ∆𝐵𝐶𝐷~∆𝐴𝐶𝐸
a) If 2 parallel lines are cut by a
C
transversal, then the alternate interior
angles are congruent.
b) If 2 parallel lines are cut by a
transversal, then the corresponding
angles are congruent.
c) Reflexive Property of Congruence
B
D
d) AA~
e) SAS~
f) Given
A
E
g) SSS~
Statements
Reasons
1.
1. BD ║ AE
2.
2. ∠𝐶 ≅ ∠𝐶
3.
3. ∠𝐶𝐵𝐷 ≅ ∠𝐶𝐴𝐸
4.
4. ∆𝐵𝐶𝐷~∆𝐴𝐶𝐸
Geometry: Triangles
~17~
NJCTL.org
Answers
1. Scalene
2. Isosceles
3. Isosceles
4. Equilateral
5. Scalene
6. Right
7. Equiangular & acute
8. Obtuse
9. Acute
10. Obtuse
11. Never
12. Never
13. Sometimes
14. Sometimes
15. Sometimes
16. Sides: Isosceles, Angles: Acute
17. Sides: Scalene, Angles: Obtuse
18. Sides: Isosceles, Angles: Obtuse
19. Sides: Scalene, Angles: Right
20. Sides: Isosceles, Angles: Obtuse
21. Scalene
22. Isosceles
23. Equilateral
24. Isosceles
25. Scalene
26. Equiangular & acute
27. Right
28. Obtuse
29. Obtuse
30. Acute
31. Never
32. Never
33. Sometimes
34. Never
35. Sometimes
36. Sides: Scalene, Angles: Right
37. Sides: Scalene, Angles: Obtuse
38. Sides: Isosceles, Angles: Obtuse
39. Sides: Isosceles, Angles: Acute
40. Sides: Isosceles, Angles: Acute
41. X=58°
42. X=33°
43. X=23°
44. X=30°
45. X=79°, z=144°, y=55°
46. X=12
Geometry: Triangles
47. X=27
48. (PROBLEM MISSING)
49. X=76°, y=104°, z=55°
50. X=61°
51. X=31
52. X=37
53. X=27
54. X=32
55. X=96°, z=151°, y=68
56. X=66°, z=88°, y=79°
57. Z=90°, y=43°, x=71°
58. X=95°, y=51°, z=39°
59.
Statements
1. j || k
∠𝐷𝐵𝐸 is a straight
angle
2. 𝑚∠𝐷𝐵𝐸 = 180°
3. 𝑚∠3 + 𝑚∠4 +
𝑚∠5 = 𝑚∠𝐷𝐵𝐸
4. 𝑚∠3 + 𝑚∠4 +
𝑚∠5 = 180°
5. ∠3 ≅ ∠1, ∠5 ≅ ∠7
6. 𝑚∠3 = 𝑚∠1, 𝑚∠5 =
𝑚∠7
7. 𝑚∠1 + 𝑚∠4 +
𝑚∠7 = 180°
Reasons
1. e
2. g
3. a
4. b
5. c
6. f
7.b
AC, BC, AB
61. DF, EF, DE
62. GI, HI, HG
60.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
75.
76.
~18~
<K, <L, <J
<N, <M, <O
<P, <Q, <R
yes
no
yes
no
no
yes
2 < x < 26
9 < x < 21
0 < x < 44
3 < x < 21
2y < x < 18y
NJCTL.org
BC, AB, AC
78. EF, DE, DF
79. GI, HI,GH
100.
Statements
Reasons
1. d
AB BC CA
1.


DE EF FD
2. DABC : DDEF
2. c
101. yes
102. no
103. no
104. 12
105. 11.36
106.
Statements
Reasons
1. c
1. BD ║ AE
2. d
2. ∠𝐶 ≅ ∠𝐶
3. b
3. ∠𝐶𝐵𝐷 ≅ ∠𝐶𝐴𝐸
4. e
4. ∆𝐶𝐵𝐷 ≅ ∆𝐶𝐴𝐸
5. g
CB CD
5.

CA CE
107. a. yes, by AA~ or SAS~
b. not similar
c. yes, by SSS~
108.
Statements
Reasons
1. c
1. BD ║ AE
2. d
2. ∠𝐶 ≅ ∠𝐶
3. b
3. ∠𝐶𝐷𝐵 ≅ ∠𝐶𝐸𝐴
4. e
4. ∆𝐶𝐵𝐷 ≅ ∆𝐶𝐴𝐸
109.
Statements
Reasons
1. mÐP = 48°,
1. b
mÐQ = 55° , mÐB = 55° ,
mÐC = 77°
2. a
2. 𝑚∠𝑅 = 77°
3. e
3. ∠𝑄 ≅ ∠𝐵, ∠𝑅 ≅ ∠𝐶
4. c
4. DPQR : DABC
110.
Statements
Reasons
1. d
AB CA

1.
, ÐA @ ÐD
DE FD
2. DABC : DDEF
2. b
111. yes
112. yes
113. no
114. 10
115. 11.25
77.
80. <H @ <I, <G
81. <K, <J, <L
82. <N, <M, <O
83. UV,TV,UT ,ST ,SU
84. FJ,GF,GJ,GH, HJ, HI, JI
85. yes
86. no
87. yes
88. no
89. yes
90. no
91. 11< x < 31
92. 11 < x < 27
93. 0 < x < 60
94. 10 < x < 20
95. 10y < x < 18y
96. a. not similar
b. yes by SAS
c. not similar
97.
Statements
Reasons
1. c
1. DH || FG
2. ∠𝐷 ≅ ∠𝐺
3. ∠𝐷𝐸𝐻 ≅ ∠𝐺𝐸𝐹
4. DDEH : DGEF
98.
Statements
1. ÐR @ ÐA , PR = 9 ,
2. a
3. d
4. e
Reasons
1. b
QR = 7.2 , AB = 4.8 , and
AC = 6
2.
𝑃𝑅
𝐶𝐴
𝑃𝑅
9
3 𝑄𝑅
7.2
3
= 6 = 2 , 𝐵𝐴 = 4.8 = 2
𝑄𝑅
3. 𝐶𝐴 = 𝐵𝐴
4. DQPR : DBCA
99.
Statements
1. ÐA @ ÐD , ÐB @ ÐE
2. DABC : DDEF
Geometry: Triangles
2. d
3. a
4. e
Reasons
1. d
2. a
~19~
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116. 10
117.
Statements
CB CD
1.

CA CE
2. ∠𝐶 ≅ ∠𝐶
3. ∆𝐶𝐵𝐷 ≅ ∆𝐶𝐴𝐸
4. ∠𝐶𝐵𝐷 ≅ ∠𝐶𝐴𝐸
5. BD ║ AE
Reasons
1. c
2.
3.
4.
5.
d
f
h
b
Unit Review Answer Key
1.
2.
3.
4.
5.
6.
7. c
8. c
9. a
10. a
11. d
c
b
c
b
b
d
12. x = 50 & z = 90
13. x = 18 & y = 22.5
14.
Statements
1. BD ║ AE
2. ∠𝐶 ≅ ∠𝐶
3. ∠𝐶𝐵𝐷 ≅ ∠𝐶𝐴𝐸
4. ∆𝐵𝐶𝐷~∆𝐴𝐶𝐸
Geometry: Triangles
Reasons
1. f
2. c
3. b
4. d
~20~
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