Determine whether the triangles are congruent by SSS or SAS. If not congruent, write "not congruent." b) If congruent, write a congruency statement.

sss is all sides are the same length, in the same order, and if they both have those side they are congruent. sas is two sides that are connected by an angle, and if the sides connected by that angle match the other triangle then they will be congruent

Step-by-step explanation:

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akposevictor akposevictor · Answer 2 · 2021-11-25T15:25:18+01:00

5. congruent by SSS.

Congruency Statement: [tex]\mathbf{\triangle PQR \cong \triangle PQS}[/tex]

5. Not congruent

6. congruent by SAS.

Congruency Statement: [tex]\mathbf{\triangle BCA \cong \triangle BCD}[/tex]

7. congruent by SAS.

Congruency Statement: [tex]\mathbf{\triangle KLJ \cong \triangle MNL}[/tex]

Recall:

Two triangles are congruent by the SSS Congruence Theorem if the three sides of one is congruent to the three corresponding sides of the other.

Based on the SAS Congruence Theorem, two triangles are congruent they have two pairs of congruent sides and a pair of included angle.

Thus, referring to the image attached:

4. Both triangles have three pairs of congruent sides, therefore they are congruent by SSS.

Congruency Statement: [tex]\mathbf{\triangle PQR \cong \triangle PQS}[/tex]

5. Both triangles do not have enough information to prove that they are congruent by SAS or SSS, therefore they are not congruent.

6. Both triangles have two pairs of congruent sides and a pair of included angle, therefore they are congruent by SAS.

Congruency Statement: [tex]\mathbf{\triangle BCA \cong \triangle BCD}[/tex]

7. Both triangles have two pairs of equal sides and a pair of included angle, therefore they are congruent by SAS.

Congruency Statement: [tex]\mathbf{\triangle KLJ \cong \triangle MNL}[/tex]

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