SAS
SSS
Congruence "Proofs"
ASA
Conditional Statements
100
Are these 2 triangles congruent?
Yes, they are congruent by SAS
100
Yes, the triangles are congruent by SSS
100
Assume:
C is the midpoint of BD and AE
What are the three relationships that prove the triangles congruent?
BC congruent to CD (since C is the midpoint)
AC congruent to CE (since C is the midpoint)
<BCA congruent to <DCE (vertical angles)
SAS
100
Are these triangles congruent?
Yes, they are congruent by ASA
100
What is the hypothesis and conclusion of "If NFCS is a charter school, then it receives public funds"
Hypothesis: NFCS is a charter school
Conclusion: it receives public funds
200
Are these two triangle congruent?No, they are related by ssa, not sss, asa, aas, or sas.
200
Is this proved by SSS?No. It is not proved by SSS
200
What does "CPCTC? stand for?
Corresponding Parts of Congruent Triangles are Congruent
200
Are these two triangles congruent?
Yes, they are proved by ASA
200
Why is the following statement false?
If the sun is blue, then the Earth revolves around the moon
(false hypothesis or the hypothesis does not imply the conclusion?
false hypothesis
300
Which postulate proves that these two triangles congruent?SAS
300
Are these triangles congruent?
Yes, the triangles are congruent by SSS
300
Assume:
DA congruent to DC
AB congruent to CB
What three congruent statements prove the triangles congruent, and what theorem proves the triangles congruent?
DA congruent to DC (Given)
AB congruent to CB (Given)
DB congruent to DB (Reflexive
SSS
DAB congruent to DCB
300
Are these triangles congruent by ASA?
No, they are proved congruent by AAS.
300
Why is the conditional statement incorrect?
If two lines are perpendicular they do not intersect?
(False hypothesis or hypothesis doesn't imply the conclusion)
Hypothesis doesn't imply conclusion
400
Yes they are congruent
400
Are these triangles congruent by SSS?
No, they are congruent by SAS
400
Assume:
A is the midpoint of ED and BC.
What three statements prove the triangle congruent, and what theorem proves the triangles congruent?
EA congruent to DA (since A is the midpoint)
BA congruent to AC (since A is the midpoint)
<B congruent to <C (Given) OR <EAC congruent to <BAD (Vertical Angles)
SAS or ASA
400
Are these triangles congruent by ASA?
Yes, they are.
400
What is the truth value of a statement if the hypothesis and conclusion are both false?
true
500
If we know segment KA bisects angle K, are triangles JAK and NAK congruent?
Yes, they are by SAS
500
No, they are not.
500
What three statements prove the triangles congruent, and what theorem proves the triangles congruent?
<H congruent to <E (Given)
HO congruent to ER (since HE congruent to OR and EO congruent to EO)
<EOT congruent to ORM (Corresponding Angles)
ASA
500
Are these triangles congruent? If so, write a congruency statement.
What is
triangleABCcongtriangleEDC
500
Of the statement is true, explain why. If the statement is false provide a counterexample.
All angles formed by intersecting lines are vertical angles.
false - not all 4 angles are vertical angles, only the angles "across" from one another.