Question

1. determine the relationship between the two triangles and whether or not they can be proven to be congruent.

the two triangles are related by
\underline{\hspace{3cm}}\tiny{word bank 1}, so the triangles
\underline{\hspace{3cm}}\tiny{word bank 2}.

1. determine the relationship between the two triangles and whether or not they can be proven to be congruent.

the two triangles are related by
\underline{\hspace{3cm}}\tiny{word bank 1}, so the triangles
\underline{\hspace{3cm}}\tiny{word bank 2}.

1. determine the relationship between the two triangles and whether or not they can be proven to be congruent.

the two triangles are related by
\underline{\hspace{3cm}}\tiny{word bank 1}, so the triangles
\underline{\hspace{3cm}}\tiny{word bank 2}.

1. determine the relationship between the two triangles and whether or not they can be proven to be congruent.

the two triangles are related by
\underline{\hspace{3cm}}\tiny{word bank 1}, so the triangles
\underline{\hspace{3cm}}\tiny{word bank 2}.

Explanation:

Step1: Analyze Q12 (ASA congruence)

Both triangles have two matching angles, with the included side between them equal. This fits the Angle-Side-Angle (ASA) congruence rule.

Step2: Conclude Q12 congruence

By ASA, the triangles are proven congruent.

Step3: Analyze Q13 (SSS congruence)

All three corresponding sides of the triangles are marked as equal. This fits the Side-Side-Side (SSS) congruence rule.

Step4: Conclude Q13 congruence

By SSS, the triangles are proven congruent.

Step5: Analyze Q14 (SAS congruence)

Two corresponding sides are equal, with the included angle between them matching. This fits the Side-Angle-Side (SAS) congruence rule.

Step6: Conclude Q14 congruence

By SAS, the triangles are proven congruent.

Step7: Analyze Q15 (AAS congruence)

Two corresponding angles are equal, with a non-included matching side. This fits the Angle-Angle-Side (AAS) congruence rule.

Step8: Conclude Q15 congruence

By AAS, the triangles are proven congruent.

Answer:

1. The two triangles are related by Angle-Side-Angle (ASA), so the triangles can be proven congruent.
2. The two triangles are related by Side-Side-Side (SSS), so the triangles can be proven congruent.
3. The two triangles are related by Side-Angle-Side (SAS), so the triangles can be proven congruent.
4. The two triangles are related by Angle-Angle-Side (AAS), so the triangles can be proven congruent.