Question
Are these triangles congruent? If so, why?
- Yes, HL Theorem
- Yes, SSS
- Yes, SAS
- No
Hint:
In this question, it is given that PR = RT , PQ = TS and 
then will given triangles be congruent. As SAS states that if two sides of a triangle and angle formed between those triangles are equal to the corresponding parts of other triangle then the given triangles will be congruent.
The correct answer is: Yes, SAS
Related Questions to study
Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?
Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?
Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.
Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.
Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.
Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.
State if the two triangles are congruent. If they are, state how you know.
State if the two triangles are congruent. If they are, state how you know.
If ∆ ABC and ∆ PQR are to be congruent, then name one additional pair of corresponding parts.
If ∆ ABC and ∆ PQR are to be congruent, then name one additional pair of corresponding parts.
Complete the congruence statement: ∆ BCA =
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.
Complete the congruence statement: ∆ BCA =
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.
We want to show that 
. We have to use SAS criterion. We have 
, RT = EN, then____________.
SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
We want to show that . We have to use SAS criterion. We have , RT = EN, then____________.
SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
For two given triangles, ΔABC and ΔPQR, the number of possible matchings are
For two given triangles, ΔABC and ΔPQR, the number of possible matchings are
If ∆ ABC ≅ ∆ PQR, then the value of ∠A will be,
If ∆ ABC ≅ ∆ PQR, then the value of ∠A will be,
∆ PQR is congruent to ∆ STU (in figure), then length of TU is ___________.
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.
∆ PQR is congruent to ∆ STU (in figure), then length of TU is ___________.
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.
If, for ∆ ABC and ∆ DEF, the correspondence CAB and EDF gives a congruence, then false statement is
If, for ∆ ABC and ∆ DEF, the correspondence CAB and EDF gives a congruence, then false statement is
If ∆ ABC and ∆ DBC are on the same base BC, AB = DC and AC= DB, then __________gives a congruence relationship.
If ∆ ABC and ∆ DBC are on the same base BC, AB = DC and AC= DB, then __________gives a congruence relationship.
If ∆ ABC ≅ ∆ PQR, then any ∠B correspond to
If ∆ ABC ≅ ∆ PQR, then any ∠B correspond to
The symbol of correspondence is
The double-sided arrow symbol is used to denote correspondence.
The symbol of correspondence is
The double-sided arrow symbol is used to denote correspondence.
In SAS congruency
In SAS congruence, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
In SAS congruency
In SAS congruence, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
