WorksheetsSS Geometry - CHAPTER 4
Total questions: 80
Worksheet time: 2hrs 24mins
Which is NOT a test to prove triangles congruent?
SAA
SSS
SSA
SAS
What does CPCTC stand for?
Corresponding Parts of Corresponding Triangles are Congruent
Congruent Parts of Corresponding Triangles are Congruent
Corresponding Parts of Congruent Triangles are Congruent
Which segment is congruent to EF?
HG
HF
GF
IE
Which segment is congruent to EF?
HG
HF
GF
IE
Are these triangles congruent? If so, state the rule which you used to determine congruence.
Yes by ASA
Yes by AAS
Yes by SSA
Not congruent
Are these triangles congruent? If so, state the rule which you used to determine congruence.
AAA
AAS
ASA
Not necessarily congruent
Are these triangles congruent? If so, state the rule which you used to determine congruence.
SAS
SSS
Both SSS and SAS
Not necessarily congruent
What is the missing piece of information required to prove these triangles congruent?
QY ≅ QY
NY ≅ PY
∠N ≅ ∠P
QY is the perpendicular bisector
Classify the triangle below according to its side lengths.les
equitateral
isosceles
right
scalene
Given: WX≅JK, YX≅IK, ∠X≅∠K
Which of the following lists the correct triangle congruence?
ΔWXY≅ΔKIJ
ΔWXY≅ΔIKJ
ΔWXY≅ΔJKL
ΔWXY≅ΔIJK
What is the measure of angle R in the image shown?
57°
59°
65°
68°
Suppose one base angle of an isoceles triangle has a measure of 44°. What is the measure of the vertex angle?
108°
92°
56°
44°
Classify ΔADB
acute
equiangular
obtuse
right
Classify ΔBCD
acute
equiangular
obtuse
right
Classify ΔABC
acute
equiangular
obtuse
right
Find x and the measures of the unknown sides of the triangle.
x=11 RS and RT=30
x=12 RS and RT=31
x=13 RS and RT=32
x=12 RS and RT=32
Find the measure of ∠1
80°
60°
65°
70°
Find the measure of ∠2
140°
110°
120°
115°
Find the measure of ∠3
75°
80°
82°
79°
Find the value of x.
14
2
15
3
Find the value of v.
52
63
76
68
Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible.
SSS
SAS
ASA
AAS
Not possible
Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible.
SSS
SAS
ASA
AAS
Not possible
acute
obtuse
right
acute
obtuse
right
equilateral
isosceles
scalene
equilateral
isosceles
scalene
equilateral
isosceles
scalene
A triangle has side lengths of 15 centimeters, 11 centimeters, and 9 centimeters. What kind of triangle is it?
equilateral
isosceles
scalene
47
57
53
133
Which would be the best classification for the triangle shown?
acute isosceles
right scalene
acute scalene
obtuse scalene
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
80
100
60
90
Classify the triangle by both sides and angles (choose two answers).
Right triangle
Acute triangle
Obtuse triangle
Isosceles triangle
Scalene triangle
Judy bought a new tent for camping. The sides measure 4 ft by 3 ft by 4 ft. All angles are less than 90 degrees. Classify the triangle by its sides and angles.
Isosceles, obtuse
Scalene, right
Equilateral, acute
Isosceles, acute
A triangle's sides measure 15 inches by 10 inches by 8 inches. It has one angle that measures 120 degrees. Classify the triangle by its sides and angles.
Right, isosceles
Equilateral, acute
Obtuse, scalene
Scalene, right
What is the measure of BC?
12
6
not enough information
10
What is the length of BC?
6
31
29
11
What is the length of DF?
8
4
25
71
which is true?
Are these triangles congruent?
Yes - RHS
Yes - SSA
Yes - SAS
No - They are different triangles
Are these triangles congruent?
Yes - SSS
Yes - AAA
No - They are different
Not enough information
Are these triangles congruent?
Yes - AAA
Yes - SSS
No, they are different
Not enough information
Are these triangles congruent?
Yes - SAS
Yes - ASA
Yes - SSS
Not enough information
Are these triangles congruent?
Yes - AAA
Yes - ASA
Yes - SAS
No - they are different
Are these triangles congruent?
Yes - ASA
Yes - SSS
Yes - SAS
No - they are not congruent
Are these triangles congruent?
Yes - AAA
Yes - ASA
Not enough information
Yes - SAS
Are these triangles congruent?
Yes - SAS
Yes- RHS
Yes - ASA
Yes - AAS
∠L
∠M
∠N
∠G
∠F
∠E
∠G
∠H
∠I
∠D
∠S
∠R
ΔDCB≅Δ
IHG
IGH
GHI
HGI
ΔRQP≅Δ
DPQ
DQP
PQD
QDP
ΔIRS≅Δ
TSR
TRS
RST
SRT
Given ΔADC≅ΔCBA , find the value of x.
51
13
27
21
