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WorksheetsCongruent Triangles Quiz
Total questions: 40
Worksheet time: 28mins
Which of the following is a symbol used for congruence?
=
≠
≈
≅
How many pairs of corresponding congruent angles are there in two congruent triangles?
1
2
3
4
Which of the symbols below is used to indicate correspondence?
≅
∠
𝛥
↔
Which of the following statements best describe congruent triangles?
I. They are similar.
II. They have the same size.
III. They have the same shape.
IV. They are equilateral triangles.
I only
III only
III and IV together
II and III together
How many pairs of corresponding sides are there in two congruent triangles?
1
2
3
4
Which of the following statements best describe the corresponding parts of congruent triangles?
They are not equal.
They are congruent.
They are supplementary.
They are complementary
If 𝛥𝐿𝑀𝑁≅𝛥𝑃𝑅𝑄, then what angle corresponds to ∠𝑄?
∠L
∠𝑁
∠𝑃
∠𝑅
What do you call the statements that can only be described and not defined?
axioms
defined terms
theorems
undefined terms
Which of the following illustrates Multiplicative axiom?
if 𝑎 = 𝑏, then 𝑏 = 𝑎
if 𝑎 = 𝑏, then 𝑎 + 𝑐 = 𝑏 + 𝑐
if 𝑎 = 𝑏 and 𝑏 = 𝑐, then 𝑎 = 𝑐
if 𝑎 = 𝑏, then, 𝑎 ∙ 𝑐 = 𝑏 ∙ 𝑐
Name the property which justifies the following conclusion. Given: If 5𝑥 – 5 = 10 Conclusion: then 5𝑥 = 15
Existence of Additive Inverse.
Existence of Multiplicative Inverse.
Existence of Multiplicative Identity.
Existence of Additive Inverse and Additive Identity.
Which of the following illustrates reflexive property?
(𝐴𝐵 + 𝐵𝐶) + 𝐶𝐷 = (𝐴𝐵 + 𝐵𝐶) + 𝐶𝐷
(𝐴𝐵 + 𝐵𝐶) + 𝐶𝐷 = (𝐵𝐶 + 𝐴𝐵) + 𝐶𝐷
(𝐴𝐵 + 𝐵𝐶) + 𝐶𝐷 = 𝐴𝐵 + 𝐵𝐶 + 𝐶𝐷
(𝐴𝐵 + 𝐵𝐶) + 𝐶𝐷 = 𝐶𝐷 + (𝐴𝐵 + 𝐵𝐶)
Baguio City is the summer capital of the Philippines. Which of the following best describes the statement?
The statement is obviously false.
The statement cannot be proven to be true or false.
The statement needs to be formally proven to be accepted as true.
The statement does not need to be formally proven and is accepted as true.
What undefined term is represented by a dot?
point
line
plane
angle
Which of the following does not represent a plane?
tip of a pen
top of the table
cover page of a book
faces of a rectangular box
How do you call a line perpendicular to a given segment which divides it into two equal line segments?
diagonals
line segment
congruent segments
perpendicular bisector
What axioms of equality do the illustration below represent?
reflexive property
symmetric property
substitution property
transitive property
The angles inside the triangular garden ABC are all 60°. To be able to find the length of the sides of the garden, Mary measured the sides as follows; 2.5 𝑚, 3 𝑚 and 5 𝑚. Did Mary measure it correctly?
No, because an equiangular triangle is also equilateral.
No, because two sides of an equiangular triangle must be equal.
Yes, because a triangle is not equilateral if it is equiangular.
Yes, because not all equiangular triangles are equilateral.
You are tasked to make a triangular picture frame and your teacher gives you five sticks of the same length and one shorter length. What triangle can you make out of the materials given if you are not allowed to cut the stick?
equilateral triangles
scalene and isosceles triangles
isosceles and equilateral triangles
The materials cannot form a triangle
Which of the following statements is not true about congruent triangles?
They are dissimilar.
They are coinciding.
They have the same size and shape.
They have corresponding congruent parts.
If 𝛥𝐹𝑅𝑌 ≅ 𝛥𝐻𝑂𝑇, which segment is congruent to 𝑅𝑌̅̅̅̅?
𝐻𝑇̅̅̅̅
𝐹𝑌̅̅̅̅
𝑂𝑇̅̅̅̅
𝑅𝐹̅̅̅̅
If 𝛥𝑆𝐼𝑇 ≅ 𝛥𝐻𝑂𝑃, then what angle corresponds to ∠𝑇?
∠𝐻
∠𝐼
∠𝑃
∠𝑆
Which of the following shows a pair of congruent triangles?
𝛥𝐹𝐼𝑉 ≅ 𝛥𝐼𝑉𝐸
𝛥𝐹𝐼𝑉 ≅ 𝛥𝐸𝐼𝑉 .
𝛥𝐼𝐹𝑉 ≅ 𝛥𝐼𝑉𝐸
𝛥𝐼𝐹𝑉 ≅ 𝛥𝑉𝐼𝐸
What would be the name of the congruent triangles given their corresponding sides: 𝐿𝑂̅̅̅ ≅ 𝑅𝑃̅̅̅̅, 𝑀𝑂 ̅̅̅̅̅ ≅ 𝑄𝑃̅̅̅̅, ̅𝐿𝑀̅̅̅ ≅ 𝑅𝑄̅̅̅̅?
𝛥𝐿𝑂𝑀 ≅ 𝛥𝑄𝑃𝑅
𝛥𝑂𝑀𝐿 ≅ 𝛥𝑃𝑄𝑅
𝛥𝑀𝑂𝐿 ≅ 𝛥𝑅𝑄𝑃
𝛥𝐿𝑀𝑂 ≅ 𝛥𝑃𝑄𝑅
Which of the following illustrations below best describe the congruent triangles?
Which of the illustrations below represents the ASA Congruence Postulate?
Given ∆LOT, what is the included angle between ̅𝐿𝑂̅̅̅ and 𝑂𝑇̅̅̅̅?
∠L
∠O
∠T
∠ TLO
What other pair of corresponding congruent part is needed to make the two triangles congruent by ASA Congruence Postulate?
∠G and ∠T
∠B and ∠F
∠I and ∠A
∠B and ∠A
What other pair of corresponding congruent part is needed to make the two triangles congruent by SAS Congruence Postulate?
𝐼𝐺̅̅̅ and 𝐴𝑇̅̅̅̅
B𝐼̅̅ and 𝐹𝐴̅̅̅̅
T𝐹̅̅̅ and 𝑇𝐴̅̅̅̅
𝐺𝐵̅̅̅̅ and ̅𝑇F
What other pair of corresponding congruent sides is needed using SSS congruence postulate if ∆PUB≅ ∆NET?
Which pair of corresponding congruent angles is needed using SAS congruence postulate if ∆PUB≅ ∆NET?
∠U ≅ ∠ N
∠B ≅ ∠ T
∠P ≅ ∠E
∠E ≅ ∠U
Given that ∆HIJ ≅ ∆LMN, what angle corresponds to ∠J?
∠H
∠I
∠M
∠N
If ∆LUV ≅ ∆YAH, then ∆HAY is congruent to ____.
∆AYH
∆LVU
∆UVL
∆VUL
Which of the following is a congruence statement in Figure 1?
∆BVS ≅ ∆VLB
∆SVI ≅ ∆LBN
∆ISV ≅ ∆BNL
∆VSI ≅ ∆NBL
Live has two triangular vegetable gardens shown in Figure 2. He wants to fence them to protect his crops. It takes 7 m of fencing material for one garden. What is the total length of fencing material needed if the two gardens are of the same size and shape?
7 m
14 m
21 m
28 m
Figure 3 shows that ∆BEN is congruent to ∆IVR. Find the value of x.
5
6
13
30
You are making party hats for your best friend’s birthday. The measurements are shown in Figure 4. Find the value of x.
3
5
7
9
Which of the theorems below states that: “If two angles and a non-included side of one triangle are congruent to the corresponding two angles and a non-included side of another triangle, then the triangles are congruent.”?
HyA Congruence Theorem
HyL Congruence Theorem
LL Congruence Theorem
AAS Congruence Theorem
Which of the following pairs of triangles below are congruent and can be proved by SAS Congruence?
i and ii
ii and iii
iii
i, ii, and iii
In the figure at the right, 𝑶T is a perpendicular bisector of HS at T. What triangle congruence theorem can be used to prove that ∆𝐻𝑂𝑇 ≅ ∆𝑆𝑂𝑇?
LL Congruence Theorem
HyL Congruence Theorem
HyA Congruence Theorem
AAS Congruence Theorem
Which statement is NOT sufficient to prove the congruence of two triangles?
Two angles and the included side of one triangle are congruent respectively to the two angles and the included side of another triangle.
Two sides of one triangle are congruent respectively to the two sides of another triangle
Two angles and the non-included side of one triangle are congruent respectively to the two angles and the non-included side of another triangle.
Three sides of one triangle are congruent respectively to the three sides of another triangle.
