Title: (Canvas-Quiz)G04_Congruent Triangles
Course: HBUHSD Geometry Resource Course > Section: Unit 3: Congruence of Triangles and Parallelograms

Q: If BCDE is congruent to OPQR, then is congruent to
A: (a choice with no text)

Q: If , which of the following can you NOT conclude as being true?
A: (a choice with no text)

A: (a choice with no text)

Q: Which congruence statement does NOT necessarily describe the triangles shown if
A: (a choice with no text)

Q: Given and , find the length of QS and TV.
- 2
- 9
- 8
- 20
A: 8

Q: Given and , find and
- 22
- 11
- 10
- 25
A: 10

Q: In the paper airplane, and Find
- 131
- 49
- 90
- 59
A: 49

Q: The two triangles are congruent as suggested by their appearance. Find the value of c. The diagrams are not to scale.
- 4
- 5
- 3
- 38
A: 3

Q: Use the information given in the diagram. Tell why and
- Transitive Property, Reflexive Property
- Given, Given
- Reflexive Property, Transitive Property
- Given, Reflexive Property
A: Given, Given

Q: Justify the last two steps of the proof.
Given: and
Prove:

Proof:

1. | 1. Given
2. | 2. Given
3. | 3.
4. | 4.
- Symmetric Property of ; SSS
- Reflexive Property of ; SAS
- Reflexive Property of ; SSS
- Symmetric Property of ; SAS
A: Reflexive Property of ; SSS

Q: Name the angle included by the sides and
- none of these
A: (a choice with no text)

Q: What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
- ^
- @
A: ^

Q: State whether and are congruent. Justify your answer.
- yes, by either SSS or SAS
- yes, by SSS only
- yes, by SAS only
- No; there is not enough information to conclude that the triangles are congruent.
A: yes, by either SSS or SAS

Q: Which triangles are congruent by ASA?
- none
A: (a choice with no text)

Q: Which two triangles are congruent by ASA?
- none
A: (a choice with no text)

Q: Which pair of triangles is congruent by ASA?
A: (a choice with no text)

Q: What is the missing reason in the two-column proof?
Given: bisects and bisects
Prove:

Statements | Reasons
1. bisects | 1. Given
2. | 2. Definition of angle bisector
3. | 3. Reflexive property
4. bisects | 4. Given
5. | 5. Definition of angle bisector
6. | 6. ?
- ASA Postulate
- SSS Postulate
- AAS Theorem
- SAS Postulate
A: ASA Postulate

Q: Name the theorem or postulate that lets you immediately conclude
- AAS
- SAS
- ASA
- none of these
A: AAS

Q: If and , which additional statement does NOT allow you to conclude that ?
A: (a choice with no text)

Q: Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent?
- either SAS or AAS
- SAS only
- AAS only
- neither
A: AAS only

Q: What else must you know to prove the triangles congruent by ASA? By SAS?
- ;
- ;
- ;
- ;
A: ;

Q: Based on the given information, what can you conclude, and why?
Given:
- by ASA
- by SAS
- by ASA
- by SAS
A: by ASA

Q: From the information in the diagram, can you prove ? Explain.
- yes, by ASA
- yes, by AAA
- yes, by SAS
- no
A: yes, by ASA

Q: R, S, and T are the vertices of one triangle. E, F, and D are the vertices of another triangle. RS = 4, and EF = 4. Are the two triangles congruent? If yes, explain and tell which segment is congruent to
- yes, by ASA;
- yes, by AAS;
- yes, by SAS;
- No, the two triangles are not congruent.
A: yes, by ASA;

Q: Supply the missing reasons to complete the proof.
Given: and
Prove:
- ASA; Substitution
- SAS; Corresp. parts of
- AAS; Corresp. parts of
- ASA; Corresp. parts of
A: ASA; Corresp. parts of

Q: Supply the reasons missing from the proof shown below.
Given: ,
Prove:
- ASA; Corresp. parts of
- SAS; Reflexive Property
- SSS; Reflexive Property
- SAS; Corresp. parts of
A: SAS; Corresp. parts of

Q: What is the value of x?
- 71°
- 142°
- 152°
- 76°
A: 71°

Q: What is the value of x?
- 68°
- 62°
- 112°
- 124°
A: 68°

Q: What is the value of x?
- 86.5°
- 43.25°
- 133.25°
- 46.75°
A: 43.25°

Q: Find the value of x. The diagram is not to scale.

Given: ,
- 14
- 152
- 16
- 19
A: 14

Q: Two sides of an equilateral triangle have lengths and . Which could be the length of the third side: or ?
- 2x + 4 only
- both 14 – x and 2x + 4
- 14 – x only
- neither 14 – x nor 2x + 4
A: 14 – x only

Q: The legs of an isosceles triangle have lengths and . The base has length . What is the length of the base?
- 4
- 6
- 3
- cannot be determined
A: 6

Q: Find the values of x and y.
A: (a choice with no text)

Q: In an A-frame house, the two congruent sides extend from the ground to form a 34° angle at the peak. What angle does each side form with the ground?
- 156
- 146
- 73
- 78
A: 73

Q: Find the value of x. The diagram is not to scale.
- none of these
A: (a choice with no text)

Q: The octagon in the figure is equiangular and . Find .
- 135
- 45
- 30
- 90
A: 45

Q: For which situation could you immediately prove using the HL Theorem?
- I only
- II only
- III only
- II and III
A: III only

Q: Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?
- Yes; .
- Yes; .
- Yes; .
- No, the triangles cannot be proven congruent.
A: Yes; .

Q: is a perpendicular bisector to at between P and S. By which of the five congruence statements, HL, AAS, ASA, SAS, and SSS, can you immediately conclude that
- HL, AAS, ASA, SAS, and SSS
- HL and AAS
- HL, AAS, and ASA
- HL and ASA
A: HL and AAS

Q: What additional information will allow you to prove the triangles congruent by the HL Theorem?
A: (a choice with no text)

Q: What common side do
A: (a choice with no text)

Q: What common angle do
A: (a choice with no text)

Q: is the bisector of and is the bisector of . Also, . Which of AAS, SSS, SAS, or ASA would you use to help you prove ?
- AAS
- SSS
- SAS
- ASA
A: ASA

Q: Which overlapping triangles are congruent by ASA?
A: (a choice with no text)