Ch. 6 Congruent Triangles

Name:

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

If BCDE is congruent to OPQR, then is congruent to

In the paper airplane,

and

Find

131

Use the information given in the diagram. Tell why

and

a.	Reflexive Property, Given
b.	Transitive Property, Reflexive Property
c.	Given, Reflexive Property
d.	Reflexive Property, Transitive Property

Given

and

, find the length of QS and TV.

Justify the last two steps of the proof.
Given:

and

Prove:

Proof:

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

a.	Symmetric Property of ; SSS	c.	Reflexive Property of ; SSS
b.	Reflexive Property of ; SAS	d.	Symmetric Property of ; SAS

State whether

and

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.

Name the angle included by the sides

and

none of these

In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?

a.		c.
b.		d.

From the information in the diagram, can you prove

? Explain.

a.	yes, by ASA	c.	yes, by SAS
b.	yes, by AAA	d.	no

10.

Based on the given information, what can you conclude, and why?
Given:

a.	by ASA	c.	by ASA
b.	by SAS	d.	by SAS

11.

Name the theorem or postulate that lets you immediately conclude

SAS

ASA

AAS

none of these

12.

Supply the missing reasons to complete the proof.
Given:

and

Prove:

a.	ASA; Substitution	c.	AAS; CPCTC
b.	SAS; CPCTC	d.	ASA; CPCTC

13.

Supply the reasons missing from the proof shown below.
Given:

Prove:

a.	ASA; CPCTC	c.	SSS; Reflexive Property
b.	SAS; Reflexive Property	d.	SAS; CPCTC

14.

What is the measure of a base angle of an isosceles triangle if the vertex angle measures 38° and the two congruent sides each measure 21 units?

71°

142°

152°

76°

15.

What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42°?

69°

84°

138°

96°

16.

Which overlapping triangles are congruent by AAS?

a.		c.
b.		d.

Short Answer

17.

. List the six pairs of congruent corresponding parts.

18.

Write the missing reasons to complete the proof.
Given:

, and

Prove:

Statement	Reason
1.	1. Given
2.	2. Given
3.	3. Given
4.	4. Definition of congruent segments
5.	5. ?
6.	6. Segment Addition Postulate
7.	7. Definition of congruent segments
8.	8. ?

19.

Explain how you can use SSS, SAS, ASA, or AAS with CPCTC to complete a proof.

Given:

Prove:

20.

by HL? If so, name the legs that allow the use of HL.

21.

Determine which triangles in the figure are congruent by AAS.