Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Triangle congruence proofs

Total questions: 16

Worksheet time: 26mins

Name
Class
Date
1.

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

Choose from the below words
of the ASA Triangle congruence postulate.
of the SSA Triangle congruence theorem.
of the SSS Triangle congruence postulate.
of the HL Triangle congruence postulate.
of the AAS Triangle congruence theorem.
of the SAS Triangle congruence theorem.
there is not enough information given.
congruent
not congruent
2.

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

Choose from the below words
of the ASA Triangle congruence postulate.
of the SSA Triangle congruence theorem.
of the SSS Triangle congruence postulate.
of the HL Triangle congruence postulate.
of the AAS Triangle congruence theorem.
of the SAS Triangle congruence theorem.
there is not enough information given.
congruent
not congruent
3.

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

Choose from the below words
of the ASA Triangle congruence postulate.
of the SSA Triangle congruence theorem.
of the SSS Triangle congruence postulate.
of the HL Triangle congruence postulate.
of the AAS Triangle congruence theorem.
of the SAS Triangle congruence theorem.
there is not enough information given.
congruent
not congruent
4.

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

Choose from the below words
of the ASA Triangle congruence postulate.
of the SSA Triangle congruence theorem.
of the HL Triangle congruence postulate.
of the AAS Triangle congruence theorem.
of the SAS Triangle congruence theorem.
there is not enough information given.
congruent
not necessarily congruent
of the SSS Triangle congruence postulate.
5.

You are trying to prove △MXC≅△LXC. Identify the components of the triangles on the diagram that are congruent due to the reflexive property help prove their congruence by selecting the points which define the components.

A
B
C
D
6.

Fill in the proof with the labels below.

a)

AAS congruence theorem

b)

Definition of midpoint

c)

∠SEM

d)

CPCTC

e)

△SEM ≅ △KMR

f)

SAS congruence postulate

g)

SM

h)

∠SMR

i)

RM ≅ EM

j)

Alternate internal ∠’s are ≅

1
2
3
4
5
6
7
8
9
10
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
7.

Given the image, mark all true statements

a)

∠SEO ≅ ∠STZ

b)

EO ≅ TZ

c)

SO ≅ SZ

d)

∠ESO ≅ ∠TZS

e)

∠YTE ≅ ∠YES

8.

What additional information is needed to prove that △MYG ≅ △MYR?​ ​ (a)  

Choose from the below words
EO ≅ TE
∠YTE ≅ ∠YES
∠ESO ≅ ∠TES
GM ≅ MK
GR ≅ GR
OT ≅ ZE
∠OMS ≅ ∠MSE
9.

Mark the angle pairs which are congruent due to the presence of transversal HK which would help prove that triangles RXH and KXN are congruent.

a)

∠RXK ≅ ∠HXN

b)

∠RHX ≅ ∠NKX

c)

∠CRN ≅ ∠TNC

d)

∠RHX ≅ ∠KXN

10.

Label the blank triangle with the corresponding triangle part.

a)

|||

b)

|

c)

||

d)

)))

e)

))

f)

)

1
2
3
4
5
6
1)
2)
3)
4)
5)
6)
11.

In terms of congruence, (a)   shows that ​ (b)   occurred by manipulating the figures in a manner which demonstrate that (c)   are (d)   .​

Choose from the below words
mapping
rigid motions
both the corresponding sides and angles
the same measure
dialtions
both dilations and rigid motions
the verticies
the corresponding sides
translating
identical
12.

Given:

SP = 2x-3

SE = 10-2x

KN = 2x+1

RE= 3x-2

RP = 3x-3

FN=2y+3

Solve for x

13.

Given:

m∠SPR= (25x +5)

m∠SER= (1+12x)

m∠YKN= (11x+9)

m∠FYK= (27x-1)

Solve for x

14.

You are trying to prove triangles A and B congruent. Given the information depicted on the diagram. What is the reason you would mark the blue, single arc angles congruent?

a)

The two angles are corresponding parts of the two triangles in question.

b)

Alternate internal angles of a transversal are congruent.

c)

The reflexive property of congruence.

d)

The transversal cuts through two parallel lines.

e)

These angles are Vertical angles and therefore are congruent

15.

You are trying to prove triangles A and B congruent. Given the information depicted on the diagram. What is the reason you would mark the blue, single arc angles congruent?

a)

The two angles are corresponding parts of the two triangles in question.

b)

Alternate internal angles of a transversal are congruent.

c)

The reflexive property of congruence.

d)

These angles are Vertical angles and therefore are congruent.

e)

It meets the criteria for the angle addition postulate.

16.

You are trying to prove triangles A and B congruent. In the Given Statement, you were told that Triangle C and D are congruent. What is the reason you would mark the blue single and blue double marked line segments congruent?

a)

Corresponding Parts of Congruent Triangles are Congruent.

(CPCTC)

b)

Definition of Midpoint

c)

Congruent Transversal Line Segment Postulate

d)

Definition of Perpendicular Lines

e)

Segment Addition Postulate

Similar Resources on Wayground

Mathematics day Quiz

20 questions

Mathematics day Quiz

quiz

Worksheet

•

12th Grade

SOAL MATEMATIKA PEMINATAN - XII MIPA

15 questions

SOAL MATEMATIKA PEMINATAN - XII MIPA

quiz

Worksheet

•

12th Grade - University

Post Assessment Ratio

15 questions

Post Assessment Ratio

quiz

Worksheet

•

6th Grade - University

Clock & Calendar

15 questions

Clock & Calendar

quiz

Worksheet

•

11th Grade - Professi...

4.2 - Probabilité théorique

15 questions

4.2 - Probabilité théorique

quiz

Worksheet

•

12th Grade

Adding and subtracting polynomials

15 questions

Adding and subtracting polynomials

quiz

Worksheet

•

9th Grade - University

CA2 Factoring Test

20 questions

CA2 Factoring Test

quiz

Worksheet

•

9th - 12th Grade

Momentum

14 questions

Momentum

quiz

Worksheet

•

11th - 12th Grade