Geometry Ch 4 Practice Exam

Name: ________________________ Class: ___________________ Date: __________

Geometry Ch 4 Practice Exam

Multiple Choice Identify the choice that best completes the statement or answers the question.

____ 1. If BCDE is congruent to OPQR, then BC is congruent to ? .

a. OP

b. PQ

c. OR

d. QR

____ 2. If MNO PQR, which of the following can you NOT conclude as being true?

a. N Q

b. NO QR

c. M P

d. MN PR

____ 3. Given ABC PQR, mB = 2v + 3, and mQ = 5v - 6, find mB and mQ.

a. 9

b. 24

c. 10

d. 21

____ 4. Justify the last two steps of the proof.

Given: MN PO and MO PN Prove: MNO PON

ID: A

Proof: 1. MN PO 2. MO PN 3. NO ON 4. MNO PON

1. Given 2. Given 3. ? 4. ?

a. Symmetric Property of ; SSS b. Reflexive Property of ; SSS

c. Reflexive Property of ; SAS d. Symmetric Property of ; SAS

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Name: ________________________

ID: A

____ 5. What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

a. AB AD b. AB AD

c. BAC DAC d. CBA CDA

____ 6. State whether ABC and AED are congruent. Justify your answer.

a. yes, by either SSS or SAS b. yes, by SSS only c. yes, by SAS only d. No; there is not enough information to conclude that the triangles are congruent.

____ 7. Based on the given information, what can you conclude, and why? Given: M Q, MO OQ

a. MNO QPO by SAS b. MNO OQP by ASA

c. MNO OQP by SAS d. MNO QPO by ASA

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Name: ________________________

____

8. Supply the missing reasons to complete the proof. Given: N Q and NO QO Prove: MO PO

ID: A

Statement

Reasons

1. N Q and NO QO

1. Given

2. MON POQ 2. Vertical angles are congruent.

3. MON POQ 3. ?

4. MO PO

4. ?

a. ASA; Substitution b. AAS; CPCTC

c. ASA; CPCTC d. SAS; CPCTC

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Name: ________________________

____

9. Supply the reasons missing from the proof shown below. Given: AB AC, BAD CAD Prove: AD bisects BC

ID: A

Statements

Reasons

1. AB AC

1. Given

2. BAD CAD 2. Given

3. AD AD

3. Reflexive Property

4. BAD CAD 4. ?

5. BD CD

5. ?

6. AD bisects BC 6. Def. of segment bisector

a. ASA; CPCTC b. SAS; Reflexive Property

c. SSS; Reflexive Property d. SAS; CPCTC

____ 10. Find the values of x and y.

a. x = 90, y = 37 b. x = 90, y = 53

c. x = 53, y = 37 d. x = 37, y = 53

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Name: ________________________ ____ 11. The octagon in the figure is equiangular and AB AC. Find mACB.

ID: A

a. 135

b. 45

c. 30

d. 90

____ 12. What is the measure of a base angle of an isosceles triangle if the vertex angle measures 48? and the two congruent sides each measure 21 units?

a. 142?

b. 66?

c. 71?

____ 13. Find the value of x. The diagram is not to scale.

d. 132?

a. x = 24

b. x = 30

c. x = 12

d. none of these

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