Worksheets Name
Exploring Congruent Triangles
Class
Total questions: 24
Worksheet time: 12mins
Date
Instructor name: Annika Davis
1.
If C is the midpoint of AD and BE, what postulate proves ∆ABC congruent to ∆EDC?
a) SSS b) SSS
c) SAS d) ASA
2.
Name the postulate, if possible, that makes the triangles congruent.
a) AAS b) ASA
c) SSS d) SAS
3.
Complete the congruence statement.
a) RPC b) CRP
c) PRC d) PCR
4.
a) D b) B
c) A d) C
5.
What is the "statement" for step 2 of the proof?
a) BC=DC b) ∆BAC≅∆DAC
c) ∡BAC≅∡DAC d) ∡B≅∡D
6.
Fill in the blank.
a) Transitive Property b) They're the same side!!!!!!
c) Given d) Reflexive Property
7.
How many states start with the word "New"?
a) two b) three
c) one d) four
8.
The pair of figures is similar. Find the missing side.
a) x = 10 b) x = 4
c) x = 5 d) x = 2
9. Which of the following pairs of triangles are congruent by the Side-Side-Side (SSS) postulate?
a) b)
△ABC and △DEF where AB = F D , BC = DE △ABC and △DEF where AB = EF , BC = DE
, CA = EF , CA = FD
c) d)
△ABC and △DEF where AB = DE , BC = EF △ABC and △DEF where AB = DE , BC = EF
, CA = FD , CA = ED
10.
Which congruence postulate can be used to prove that △XY Z ≅ △PQR if XY = PQ , Y Z = QR , and
∠XY Z = ∠PQR ?
a) Angle-Side-Angle (ASA) b) Side-Side-Side (SSS)
c) Side-Angle-Side (SAS) d) Angle-Angle-Side (AAS)
11.
If △ABC ≅ △DEF , which of the following statements is true?
a) b)
AB = DE , BC = EF , CA = F D AB = EF , BC = F D , CA = DE
c) d)
AB = DF , BC = DE , CA = EF AB = DE , BC = F D , CA = EF
12.
Given △ABC ≅ △DEF , if ∠A = 50∘ , ∠B = 60∘ , what is ∠D ?
a) b)
80∘ 50∘
c) d)
70∘ 60∘
13. Which of the following is NOT a valid congruence postulate?
a) Side-Side-Side (SSS) b) Side-Angle-Side (SAS)
c) Angle-Side-Angle (ASA) d) Angle-Angle-Angle (AAA)
14.
If △ABC ≅ △DEF and AB = 5 , BC = 7 , CA = 8 , what is the length of DE ?
a) 7 b) 5
c) 8 d) 10
15.
Which property of congruence states that if △ABC ≅ △DEF , then △DEF ≅ △ABC ?
a) Substitution Property b) Transitive Property
c) Symmetric Property d) Reflexive Property
16.
If △ABC ≅ △DEF and ∠A = 40∘ , ∠B = 70∘ , what is ∠F ?
a) b)
40∘ 70∘
c) d)
80∘ 90∘
17.
Which of the following is true if △ABC ≅ △DEF ?
a) b)
∠A = ∠E , ∠B = ∠F , ∠C = ∠D ∠A = ∠F , ∠B = ∠D , ∠C = ∠E
c) d)
∠A = ∠D , ∠B = ∠E , ∠C = ∠F ∠A = ∠D , ∠B = ∠F , ∠C = ∠E
18.
Which congruence postulate can be used to prove that △ABC ≅ △DEF if ∠A = ∠D , AB = DE , and
∠B = ∠E ?
a) Angle-Angle-Side (AAS) b) Side-Angle-Side (SAS)
c) Side-Side-Side (SSS) d) Angle-Side-Angle (ASA)
19.
If △ABC ≅ △DEF and AC = 9 , DF = 9 , what is the length of BC if EF = 7 ?
a) 6 b) 5
c) 7 d) 8
20.
Which of the following statements is true if △ABC ≅ △DEF ?
a) b)
AB = DE , BC = EF , CA = F D AB = EF , BC = F D , CA = DE
c) d)
AB = DF , BC = DE , CA = EF AB = DE , BC = F D , CA = EF
21.
If △ABC ≅ △DEF and ∠C = 30∘ , ∠F = 30∘ , what is ∠A + ∠B ?
a) b)
150∘ 130∘
c) d)
120∘ 140∘
22.
Which congruence postulate can be used to prove that △ABC ≅ △DEF if AB = DE , BC = EF , and
∠B = ∠E ?
a) Side-Side-Side (SSS) b) Angle-Angle-Side (AAS)
c) Side-Angle-Side (SAS) d) Angle-Side-Angle (ASA)
23.
If △ABC ≅ △DEF and AB = 6 , DE = 6 , what is the length of CA if F D = 8 ?
a) 7 b) 6
c) 9 d) 8
24.
Which property of congruence states that if △ABC ≅ △DEF and △DEF ≅ △GHI , then
△ABC ≅ △GHI ?
a) Symmetric Property b) Reflexive Property
c) Substitution Property d) Transitive Property
