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18 questions
x=
y=
Choose 2 answers.
7
25
6
11
18
If BCDE ≅ OPQR, then DE =
∠ABC≅ ? (a)
The two triangles are congruent. Find the value of c.
(Diagrams are not to scale.)
Given: ∆ABC≅∆PQR, m∠B=3V+4, & m∠Q=8v-6. Find m∠B
[Hint: DRAW A PICTURE!]
Complete the Reason for Step 4. in the proof.
What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
State whether ∆ABC and ∆AED are congruent. Justify your answer.
yes, by either SSS or SAS
yes, by SSS only
yes, by SAS only
Not enough information to reach a conclusion.
No, they are NOT congruent
In each pair of triangles, parts are congruent as marked. Which pair(s) of triangles is/are congruent, by ASA?
From the information in the diagram, can you prove ∆FDG ≅ ∆FDB ? If so, in what way(s)? Choose all that apply.
yes, by ASA
yes, by AAA
yes, by AAS
no
Unsure
What theorem or postulate can be used to prove the triangles congruent?
Name the theorem or postulate that lets you conclude ∆ABD ≅ ∆CBD based on the given information.
SAS
AAS
ASA
H-L
none of these
Supply the missing reasons to complete the proof.
Given: ∠Q ≅ ∠T; QR ≅ TR
3. Substitution
4. ASA
3. SAS
4. CPCTC
3. Substitution
4. AAS
3. ASA
4. CPCTC
If ∆MNO ≅ ∆PQR, which of the following is NOT true? [Hint: DRAW A PICTURE!!]
MN = PR
∠M ≅ ∠P
NO = QR
∠N ≅ ∠Q
What else must you know to prove the triangles congruent by ASA? By SAS?
Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?
∆CAB ≅ ∆DAC
∆ACB ≅ ∆ACD
∆ABC ≅ ∆ACD
No, the triangles cannot be proven congruent.
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